F6150 Advanced numerical methods
Faculty of ScienceSpring 2024
- Extent and Intensity
- 2/1/0. 3 credit(s) (plus extra credits for completion). Type of Completion: k (colloquium).
- Teacher(s)
- doc. Mgr. Jiří Chaloupka, Ph.D. (lecturer)
prof. Mgr. Dominik Munzar, Dr. (lecturer)
doc. Mgr. Jiří Chaloupka, Ph.D. (seminar tutor) - Guaranteed by
- doc. Mgr. Jiří Chaloupka, Ph.D.
Department of Condensed Matter Physics – Physics Section – Faculty of Science
Contact Person: doc. Mgr. Jiří Chaloupka, Ph.D.
Supplier department: Department of Condensed Matter Physics – Physics Section – Faculty of Science - Timetable
- Mon 19. 2. to Sun 26. 5. Tue 8:00–9:50 F1 6/1014
- Timetable of Seminar Groups:
- Prerequisites (in Czech)
- F5330 Basic numerical methods
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Course objectives
- An introduction of advanced numerical methods, with a particular emphasis on spectral analysis and multidimensional optimalization. An emphasis is put on the applications of these methods when solving physical problems.
- Learning outcomes
- The main objective of the course is to provide the students with the ability to:
- list and explain the details of the lectured numerical methods;
- apply these methods in particular modelling tasks;
- learn to utilize suitable software to perform numerical simulations of physical systems. - Syllabus
- 1. Discrete Fourier transform (FFT algorithm, DFT of real data, DFT variants with symmetry - cosine and sine transforms, multidimensional DFT, applications: spectral analysis, filtering, convolution and deconvolution, jpeg and mp3)
- 2. Multidimensional minimization (simplex method, Powell's method, conjugate-gradient methods, variable metric method, Marquardt-Levenberg algorithm for the sum of squares, simulated annealing, particle swarm method)
- 3. Lanczos diagonalization of sparse matrices
- 4. Numerical quadrature (Gaussian quadrature, Gauss-Kronrod rules, adaptive quadrature)
- 5. Interpolation and approximation (polynomial interpolation - classical formulas and Neville's algorithm, cubic splines, rational interpolation, multidimensional case)
- Literature
- PŘIKRYL, Petr. Numerické metody matematické analýzy. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1985, 187 s. URL info
- ATKINSON, Kendall E. Elementary numerical analysis. 2nd ed. New York: John Wiley & Sons, 1993, xiii, 425. ISBN 0471600105. info
- MÍKA, Stanislav. Numerické metody algebry. 2. vyd. Praha: SNTL - Nakladatelství technické literatury, 1985, 169 s. URL info
- CELÝ, Jan. Řešení fyzikálních úloh na mikropočítačích. 1. vyd. Brno: Rektorát Masarykovy university, 1990, 108 s. ISBN 8021001267. info
- CELÝ, Jan. Programové moduly pro fyzikální výpočty. 1. vyd. Brno: Rektorát UJEP, 1985, 99 s. info
- RALSTON, Anthony. Základy numerické matematiky. Translated by Milan Práger - Emil Vitásek. České vyd. 2. Praha: Academia, 1978, 635 s. info
- VITÁSEK, Emil. Numerické metody. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1987, 512 s. URL info
- GIORDANO, Nicholas J. and Hisao NAKANISHI. Computational physics. 2nd ed. Upper Saddle River, NJ: Pearson Prentice Hall, 1997, xiii, 544. ISBN 0131469908. info
- PANG, Tao. An introduction to computational physics. 2nd ed. Cambridge: Cambridge University Press, 2006, xv, 385. ISBN 0521825695. info
- GOULD, Harvey, Jan TOBOCHNIK and Wolfgang CHRISTIAN. An introduction to computer simulation methods : applications to physical systems. 3rd ed. San Francisco: Pearson Addison Wesley, 2007, xviii, 796. ISBN 0805377581. info
- KOONIN, Steven E. and Dawn C. MEREDITH. Computational physics : Fortran version. Boulder, Colo.: Westview Press, 1990, 16, 639. ISBN 0201386232. info
- Teaching methods
- Lecture + individual work on PC.
- Assessment methods
- Demands for graded credit: successful presentation of the solution of the assigned semestral project.
- Language of instruction
- Czech
- Follow-Up Courses
- Further Comments
- Study Materials
The course is taught annually. - Teacher's information
- http://www.physics.muni.cz/~chaloupka/F6150/
F6150 Advanced numerical methods
Faculty of ScienceSpring 2025
- Extent and Intensity
- 2/1/0. 3 credit(s) (plus extra credits for completion). Type of Completion: k (colloquium).
- Teacher(s)
- doc. Mgr. Jiří Chaloupka, Ph.D. (lecturer)
prof. Mgr. Dominik Munzar, Dr. (lecturer)
doc. Mgr. Jiří Chaloupka, Ph.D. (seminar tutor) - Guaranteed by
- doc. Mgr. Jiří Chaloupka, Ph.D.
Department of Condensed Matter Physics – Physics Section – Faculty of Science
Contact Person: doc. Mgr. Jiří Chaloupka, Ph.D.
Supplier department: Department of Condensed Matter Physics – Physics Section – Faculty of Science - Prerequisites (in Czech)
- F5330 Basic numerical methods
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Course objectives
- An introduction of advanced numerical methods, with a particular emphasis on spectral analysis and multidimensional optimalization. An emphasis is put on the applications of these methods when solving physical problems.
- Learning outcomes
- The main objective of the course is to provide the students with the ability to:
- list and explain the details of the lectured numerical methods;
- apply these methods in particular modelling tasks;
- learn to utilize suitable software to perform numerical simulations of physical systems. - Syllabus
- 1. Discrete Fourier transform (FFT algorithm, DFT of real data, DFT variants with symmetry - cosine and sine transforms, multidimensional DFT, applications: spectral analysis, filtering, convolution and deconvolution, jpeg and mp3)
- 2. Multidimensional minimization (simplex method, Powell's method, conjugate-gradient methods, variable metric method, Marquardt-Levenberg algorithm for the sum of squares, simulated annealing, particle swarm method)
- 3. Lanczos diagonalization of sparse matrices
- 4. Numerical quadrature (Gaussian quadrature, Gauss-Kronrod rules, adaptive quadrature)
- 5. Interpolation and approximation (polynomial interpolation - classical formulas and Neville's algorithm, cubic splines, rational interpolation, multidimensional case)
- Literature
- PŘIKRYL, Petr. Numerické metody matematické analýzy. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1985, 187 s. URL info
- ATKINSON, Kendall E. Elementary numerical analysis. 2nd ed. New York: John Wiley & Sons, 1993, xiii, 425. ISBN 0471600105. info
- MÍKA, Stanislav. Numerické metody algebry. 2. vyd. Praha: SNTL - Nakladatelství technické literatury, 1985, 169 s. URL info
- CELÝ, Jan. Řešení fyzikálních úloh na mikropočítačích. 1. vyd. Brno: Rektorát Masarykovy university, 1990, 108 s. ISBN 8021001267. info
- CELÝ, Jan. Programové moduly pro fyzikální výpočty. 1. vyd. Brno: Rektorát UJEP, 1985, 99 s. info
- RALSTON, Anthony. Základy numerické matematiky. Translated by Milan Práger - Emil Vitásek. České vyd. 2. Praha: Academia, 1978, 635 s. info
- VITÁSEK, Emil. Numerické metody. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1987, 512 s. URL info
- GIORDANO, Nicholas J. and Hisao NAKANISHI. Computational physics. 2nd ed. Upper Saddle River, NJ: Pearson Prentice Hall, 1997, xiii, 544. ISBN 0131469908. info
- PANG, Tao. An introduction to computational physics. 2nd ed. Cambridge: Cambridge University Press, 2006, xv, 385. ISBN 0521825695. info
- GOULD, Harvey, Jan TOBOCHNIK and Wolfgang CHRISTIAN. An introduction to computer simulation methods : applications to physical systems. 3rd ed. San Francisco: Pearson Addison Wesley, 2007, xviii, 796. ISBN 0805377581. info
- KOONIN, Steven E. and Dawn C. MEREDITH. Computational physics : Fortran version. Boulder, Colo.: Westview Press, 1990, 16, 639. ISBN 0201386232. info
- Teaching methods
- Lecture + individual work on PC.
- Assessment methods
- Demands for graded credit: successful presentation of the solution of the assigned semestral project.
- Language of instruction
- Czech
- Follow-Up Courses
- Further Comments
- The course is taught annually.
The course is taught: every week. - Teacher's information
- http://www.physics.muni.cz/~chaloupka/F6150/
F6150 Advanced numerical methods
Faculty of ScienceSpring 2023
- Extent and Intensity
- 2/1/0. 3 credit(s) (plus extra credits for completion). Type of Completion: k (colloquium).
- Teacher(s)
- doc. Mgr. Jiří Chaloupka, Ph.D. (lecturer)
prof. Mgr. Dominik Munzar, Dr. (lecturer)
doc. Mgr. Jiří Chaloupka, Ph.D. (seminar tutor) - Guaranteed by
- doc. Mgr. Jiří Chaloupka, Ph.D.
Department of Condensed Matter Physics – Physics Section – Faculty of Science
Contact Person: doc. Mgr. Jiří Chaloupka, Ph.D.
Supplier department: Department of Condensed Matter Physics – Physics Section – Faculty of Science - Timetable
- Tue 10:00–11:50 Fcom,01034
- Timetable of Seminar Groups:
- Prerequisites (in Czech)
- F5330 Basic numerical methods
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Course objectives
- An introduction of advanced numerical methods, with a particular emphasis on spectral analysis and multidimensional optimalization. An emphasis is put on the applications of these methods when solving physical problems.
- Learning outcomes
- The main objective of the course is to provide the students with the ability to:
- list and explain the details of the lectured numerical methods;
- apply these methods in particular modelling tasks;
- learn to utilize suitable software to perform numerical simulations of physical systems. - Syllabus
- 1. Discrete Fourier transform (FFT algorithm, DFT of real data, DFT variants with symmetry - cosine and sine transforms, multidimensional DFT, applications: spectral analysis, filtering, convolution and deconvolution, jpeg and mp3)
- 2. Multidimensional minimization (simplex method, Powell's method, conjugate-gradient methods, variable metric method, Marquardt-Levenberg algorithm for the sum of squares, simulated annealing, particle swarm method)
- 3. Lanczos diagonalization of sparse matrices
- 4. Numerical quadrature (Gaussian quadrature, Gauss-Kronrod rules, adaptive quadrature)
- 5. Interpolation and approximation (polynomial interpolation - classical formulas and Neville's algorithm, cubic splines, rational interpolation, multidimensional case)
- Literature
- PŘIKRYL, Petr. Numerické metody matematické analýzy. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1985, 187 s. URL info
- ATKINSON, Kendall E. Elementary numerical analysis. 2nd ed. New York: John Wiley & Sons, 1993, xiii, 425. ISBN 0471600105. info
- MÍKA, Stanislav. Numerické metody algebry. 2. vyd. Praha: SNTL - Nakladatelství technické literatury, 1985, 169 s. URL info
- CELÝ, Jan. Řešení fyzikálních úloh na mikropočítačích. 1. vyd. Brno: Rektorát Masarykovy university, 1990, 108 s. ISBN 8021001267. info
- CELÝ, Jan. Programové moduly pro fyzikální výpočty. 1. vyd. Brno: Rektorát UJEP, 1985, 99 s. info
- RALSTON, Anthony. Základy numerické matematiky. Translated by Milan Práger - Emil Vitásek. České vyd. 2. Praha: Academia, 1978, 635 s. info
- VITÁSEK, Emil. Numerické metody. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1987, 512 s. URL info
- GIORDANO, Nicholas J. and Hisao NAKANISHI. Computational physics. 2nd ed. Upper Saddle River, NJ: Pearson Prentice Hall, 1997, xiii, 544. ISBN 0131469908. info
- PANG, Tao. An introduction to computational physics. 2nd ed. Cambridge: Cambridge University Press, 2006, xv, 385. ISBN 0521825695. info
- GOULD, Harvey, Jan TOBOCHNIK and Wolfgang CHRISTIAN. An introduction to computer simulation methods : applications to physical systems. 3rd ed. San Francisco: Pearson Addison Wesley, 2007, xviii, 796. ISBN 0805377581. info
- KOONIN, Steven E. and Dawn C. MEREDITH. Computational physics : Fortran version. Boulder, Colo.: Westview Press, 1990, 16, 639. ISBN 0201386232. info
- Teaching methods
- Lecture + individual work on PC.
- Assessment methods
- Demands for graded credit: successful presentation of the solution of the assigned semestral project.
- Language of instruction
- Czech
- Follow-Up Courses
- Further Comments
- Study Materials
The course is taught annually. - Teacher's information
- http://www.physics.muni.cz/~chaloupka/F6150/
F6150 Advanced numerical methods
Faculty of ScienceSpring 2022
- Extent and Intensity
- 2/1/0. 3 credit(s) (plus extra credits for completion). Type of Completion: k (colloquium).
- Teacher(s)
- doc. Mgr. Jiří Chaloupka, Ph.D. (lecturer)
prof. Mgr. Dominik Munzar, Dr. (lecturer)
doc. Mgr. Jiří Chaloupka, Ph.D. (seminar tutor) - Guaranteed by
- doc. Mgr. Jiří Chaloupka, Ph.D.
Department of Condensed Matter Physics – Physics Section – Faculty of Science
Contact Person: doc. Mgr. Jiří Chaloupka, Ph.D.
Supplier department: Department of Condensed Matter Physics – Physics Section – Faculty of Science - Timetable
- Mon 14:00–15:50 Fcom,01034, Mon 16:00–16:50 Fcom,01034
- Prerequisites (in Czech)
- F5330 Basic numerical methods
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Course objectives
- An introduction of advanced numerical methods, with a particular emphasis on spectral analysis and multidimensional optimalization. An emphasis is put on the applications of these methods when solving physical problems.
- Learning outcomes
- The main objective of the course is to provide the students with the ability to:
- list and explain the details of the lectured numerical methods;
- apply these methods in particular modelling tasks;
- learn to utilize suitable software to perform numerical simulations of physical systems. - Syllabus
- 1. Discrete Fourier transform (FFT algorithm, DFT of real data, DFT variants with symmetry - cosine and sine transforms, multidimensional DFT, applications: spectral analysis, filtering, convolution and deconvolution, jpeg and mp3)
- 2. Multidimensional minimization (simplex method, Powell's method, conjugate-gradient methods, variable metric method, Marquardt-Levenberg algorithm for the sum of squares, simulated annealing, particle swarm method)
- 3. Lanczos diagonalization of sparse matrices
- 4. Numerical quadrature (Gaussian quadrature, Gauss-Kronrod rules, adaptive quadrature)
- 5. Interpolation and approximation (polynomial interpolation - classical formulas and Neville's algorithm, cubic splines, rational interpolation, multidimensional case)
- Literature
- PŘIKRYL, Petr. Numerické metody matematické analýzy. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1985, 187 s. URL info
- ATKINSON, Kendall E. Elementary numerical analysis. 2nd ed. New York: John Wiley & Sons, 1993, xiii, 425. ISBN 0471600105. info
- MÍKA, Stanislav. Numerické metody algebry. 2. vyd. Praha: SNTL - Nakladatelství technické literatury, 1985, 169 s. URL info
- CELÝ, Jan. Řešení fyzikálních úloh na mikropočítačích. 1. vyd. Brno: Rektorát Masarykovy university, 1990, 108 s. ISBN 8021001267. info
- CELÝ, Jan. Programové moduly pro fyzikální výpočty. 1. vyd. Brno: Rektorát UJEP, 1985, 99 s. info
- RALSTON, Anthony. Základy numerické matematiky. Translated by Milan Práger - Emil Vitásek. České vyd. 2. Praha: Academia, 1978, 635 s. info
- VITÁSEK, Emil. Numerické metody. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1987, 512 s. URL info
- GIORDANO, Nicholas J. and Hisao NAKANISHI. Computational physics. 2nd ed. Upper Saddle River, NJ: Pearson Prentice Hall, 1997, xiii, 544. ISBN 0131469908. info
- PANG, Tao. An introduction to computational physics. 2nd ed. Cambridge: Cambridge University Press, 2006, xv, 385. ISBN 0521825695. info
- GOULD, Harvey, Jan TOBOCHNIK and Wolfgang CHRISTIAN. An introduction to computer simulation methods : applications to physical systems. 3rd ed. San Francisco: Pearson Addison Wesley, 2007, xviii, 796. ISBN 0805377581. info
- KOONIN, Steven E. and Dawn C. MEREDITH. Computational physics : Fortran version. Boulder, Colo.: Westview Press, 1990, 16, 639. ISBN 0201386232. info
- Teaching methods
- Lecture + individual work on PC.
- Assessment methods
- Demands for graded credit: successful presentation of the solution of the assigned semestral project.
- Language of instruction
- Czech
- Follow-Up Courses
- Further Comments
- Study Materials
The course is taught annually. - Teacher's information
- http://www.physics.muni.cz/~chaloupka/F6150/
F6150 Advanced numerical methods
Faculty of ScienceSpring 2021
- Extent and Intensity
- 2/1/0. 3 credit(s) (plus extra credits for completion). Type of Completion: k (colloquium).
- Teacher(s)
- doc. Mgr. Jiří Chaloupka, Ph.D. (lecturer)
prof. Mgr. Dominik Munzar, Dr. (lecturer)
doc. Mgr. Jiří Chaloupka, Ph.D. (seminar tutor) - Guaranteed by
- prof. Mgr. Dominik Munzar, Dr.
Department of Condensed Matter Physics – Physics Section – Faculty of Science
Contact Person: doc. Mgr. Jiří Chaloupka, Ph.D.
Supplier department: Department of Condensed Matter Physics – Physics Section – Faculty of Science - Timetable
- Mon 1. 3. to Fri 14. 5. Tue 8:00–9:50 online_F3
- Timetable of Seminar Groups:
- Prerequisites (in Czech)
- F5330 Basic numerical methods
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Course objectives
- An introduction of advanced numerical methods, with a particular emphasis on spectral analysis and multidimensional optimalization. An emphasis is put on the applications of these methods when solving physical problems.
- Learning outcomes
- The main objective of the course is to provide the students with the ability to:
- list and explain the details of the lectured numerical methods;
- apply these methods in particular modelling tasks;
- learn to utilize suitable software to perform numerical simulations of physical systems. - Syllabus
- 1. Discrete Fourier transform (FFT algorithm, DFT of real data, DFT variants with symmetry - cosine and sine transforms, multidimensional DFT, applications: spectral analysis, filtering, convolution and deconvolution, jpeg and mp3)
- 2. Multidimensional minimization (simplex method, Powell's method, conjugate-gradient methods, variable metric method, Marquardt-Levenberg algorithm for the sum of squares, simulated annealing, particle swarm method)
- 3. Lanczos diagonalization of sparse matrices
- 4. Numerical quadrature (Gaussian quadrature, Gauss-Kronrod rules, adaptive quadrature)
- 5. Interpolation and approximation (polynomial interpolation - classical formulas and Neville's algorithm, cubic splines, rational interpolation, multidimensional case)
- Literature
- PŘIKRYL, Petr. Numerické metody matematické analýzy. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1985, 187 s. URL info
- ATKINSON, Kendall E. Elementary numerical analysis. 2nd ed. New York: John Wiley & Sons, 1993, xiii, 425. ISBN 0471600105. info
- MÍKA, Stanislav. Numerické metody algebry. 2. vyd. Praha: SNTL - Nakladatelství technické literatury, 1985, 169 s. URL info
- CELÝ, Jan. Řešení fyzikálních úloh na mikropočítačích. 1. vyd. Brno: Rektorát Masarykovy university, 1990, 108 s. ISBN 8021001267. info
- CELÝ, Jan. Programové moduly pro fyzikální výpočty. 1. vyd. Brno: Rektorát UJEP, 1985, 99 s. info
- RALSTON, Anthony. Základy numerické matematiky. Translated by Milan Práger - Emil Vitásek. České vyd. 2. Praha: Academia, 1978, 635 s. info
- VITÁSEK, Emil. Numerické metody. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1987, 512 s. URL info
- GIORDANO, Nicholas J. and Hisao NAKANISHI. Computational physics. 2nd ed. Upper Saddle River, NJ: Pearson Prentice Hall, 1997, xiii, 544. ISBN 0131469908. info
- PANG, Tao. An introduction to computational physics. 2nd ed. Cambridge: Cambridge University Press, 2006, xv, 385. ISBN 0521825695. info
- GOULD, Harvey, Jan TOBOCHNIK and Wolfgang CHRISTIAN. An introduction to computer simulation methods : applications to physical systems. 3rd ed. San Francisco: Pearson Addison Wesley, 2007, xviii, 796. ISBN 0805377581. info
- KOONIN, Steven E. and Dawn C. MEREDITH. Computational physics : Fortran version. Boulder, Colo.: Westview Press, 1990, 16, 639. ISBN 0201386232. info
- Teaching methods
- Lecture + individual work on PC.
- Assessment methods
- Demands for colloquium: successful presentation of the solution of the assigned semestral project.
- Language of instruction
- Czech
- Follow-Up Courses
- Further Comments
- Study Materials
The course is taught annually. - Teacher's information
- http://www.physics.muni.cz/~chaloupka/F6150/
F6150 Advanced numerical methods
Faculty of ScienceSpring 2020
- Extent and Intensity
- 2/1/0. 3 credit(s) (plus extra credits for completion). Type of Completion: k (colloquium).
- Teacher(s)
- doc. Mgr. Jiří Chaloupka, Ph.D. (lecturer)
prof. Mgr. Dominik Munzar, Dr. (lecturer)
doc. Mgr. Jiří Chaloupka, Ph.D. (seminar tutor) - Guaranteed by
- prof. Mgr. Dominik Munzar, Dr.
Department of Condensed Matter Physics – Physics Section – Faculty of Science
Contact Person: doc. Mgr. Jiří Chaloupka, Ph.D.
Supplier department: Department of Condensed Matter Physics – Physics Section – Faculty of Science - Timetable
- Mon 12:00–13:50 Fcom,01034
- Timetable of Seminar Groups:
- Prerequisites (in Czech)
- F5330 Basic numerical methods
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Course objectives
- An introduction of advanced numerical methods, with a particular emphasis on spectral analysis and multidimensional optimalization. An emphasis is put on the applications of these methods when solving physical problems.
- Learning outcomes
- The main objective of the course is to provide the students with the ability to:
- list and explain the details of the lectured numerical methods;
- apply these methods in particular modelling tasks;
- learn to utilize suitable software to perform numerical simulations of physical systems. - Syllabus
- 1. Discrete Fourier transform (FFT algorithm, DFT of real data, DFT variants with symmetry - cosine and sine transforms, multidimensional DFT, applications: spectral analysis, filtering, convolution and deconvolution, jpeg and mp3)
- 2. Multidimensional minimization (simplex method, Powell's method, conjugate-gradient methods, variable metric method, Marquardt-Levenberg algorithm for the sum of squares, simulated annealing, particle swarm method)
- 3. Lanczos diagonalization of sparse matrices
- 4. Numerical quadrature (Gaussian quadrature, Gauss-Kronrod rules, adaptive quadrature)
- 5. Interpolation and approximation (polynomial interpolation - classical formulas and Neville's algorithm, cubic splines, rational interpolation, multidimensional case)
- Literature
- PŘIKRYL, Petr. Numerické metody matematické analýzy. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1985, 187 s. URL info
- ATKINSON, Kendall E. Elementary numerical analysis. 2nd ed. New York: John Wiley & Sons, 1993, xiii, 425. ISBN 0471600105. info
- MÍKA, Stanislav. Numerické metody algebry. 2. vyd. Praha: SNTL - Nakladatelství technické literatury, 1985, 169 s. URL info
- CELÝ, Jan. Řešení fyzikálních úloh na mikropočítačích. 1. vyd. Brno: Rektorát Masarykovy university, 1990, 108 s. ISBN 8021001267. info
- CELÝ, Jan. Programové moduly pro fyzikální výpočty. 1. vyd. Brno: Rektorát UJEP, 1985, 99 s. info
- RALSTON, Anthony. Základy numerické matematiky. Translated by Milan Práger - Emil Vitásek. České vyd. 2. Praha: Academia, 1978, 635 s. info
- VITÁSEK, Emil. Numerické metody. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1987, 512 s. URL info
- GIORDANO, Nicholas J. and Hisao NAKANISHI. Computational physics. 2nd ed. Upper Saddle River, NJ: Pearson Prentice Hall, 1997, xiii, 544. ISBN 0131469908. info
- PANG, Tao. An introduction to computational physics. 2nd ed. Cambridge: Cambridge University Press, 2006, xv, 385. ISBN 0521825695. info
- GOULD, Harvey, Jan TOBOCHNIK and Wolfgang CHRISTIAN. An introduction to computer simulation methods : applications to physical systems. 3rd ed. San Francisco: Pearson Addison Wesley, 2007, xviii, 796. ISBN 0805377581. info
- KOONIN, Steven E. and Dawn C. MEREDITH. Computational physics : Fortran version. Boulder, Colo.: Westview Press, 1990, 16, 639. ISBN 0201386232. info
- Teaching methods
- Lecture + individual work on PC.
- Assessment methods
- Demands for graded credit: successful presentation of the solution of the assigned semestral project.
- Language of instruction
- Czech
- Follow-Up Courses
- Further Comments
- Study Materials
The course is taught annually. - Teacher's information
- http://www.physics.muni.cz/~chaloupka/F6150/
F6150 Advanced numerical methods
Faculty of ScienceSpring 2019
- Extent and Intensity
- 2/1/0. 3 credit(s) (plus extra credits for completion). Type of Completion: k (colloquium).
- Teacher(s)
- doc. Mgr. Jiří Chaloupka, Ph.D. (lecturer)
doc. Mgr. Jiří Chaloupka, Ph.D. (seminar tutor) - Guaranteed by
- prof. RNDr. Josef Humlíček, CSc.
Department of Condensed Matter Physics – Physics Section – Faculty of Science
Contact Person: doc. Mgr. Jiří Chaloupka, Ph.D.
Supplier department: Department of Condensed Matter Physics – Physics Section – Faculty of Science - Timetable
- Mon 18. 2. to Fri 17. 5. Tue 13:00–14:50 Fcom,01034
- Timetable of Seminar Groups:
- Prerequisites (in Czech)
- F5330 Basic numerical methods
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Course objectives
- The main objective of the course is to provide the students with the ability to
- list and describe the lectured numerical methods
- apply these methods in particular modelling tasks - Syllabus
- 1. Discrete Fourier transform (FFT algorithm, DFT of real data, DFT variants with symmetry - cosine and sine transforms, multidimensional DFT, applications: spectral analysis, filtering, convolution and deconvolution, jpeg and mp3)
- 2. Multidimensional minimization (simplex method, Powell's method, conjugate-gradient methods, variable metric method, Marquardt-Levenberg algorithm for the sum of squares, simulated annealing, particle swarm method)
- 3. Lanczos diagonalization of sparse matrices
- 4. Numerical quadrature (Gaussian quadrature, Gauss-Kronrod rules, adaptive quadrature)
- 5. Interpolation and approximation (polynomial interpolation - classical formulas and Neville's algorithm, cubic splines, rational interpolation, multidimensional case)
- Literature
- PŘIKRYL, Petr. Numerické metody matematické analýzy. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1985, 187 s. URL info
- ATKINSON, Kendall E. Elementary numerical analysis. 2nd ed. New York: John Wiley & Sons, 1993, xiii, 425. ISBN 0471600105. info
- MÍKA, Stanislav. Numerické metody algebry. 2. vyd. Praha: SNTL - Nakladatelství technické literatury, 1985, 169 s. URL info
- CELÝ, Jan. Řešení fyzikálních úloh na mikropočítačích. 1. vyd. Brno: Rektorát Masarykovy university, 1990, 108 s. ISBN 8021001267. info
- CELÝ, Jan. Programové moduly pro fyzikální výpočty. 1. vyd. Brno: Rektorát UJEP, 1985, 99 s. info
- RALSTON, Anthony. Základy numerické matematiky. Translated by Milan Práger - Emil Vitásek. České vyd. 2. Praha: Academia, 1978, 635 s. info
- VITÁSEK, Emil. Numerické metody. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1987, 512 s. URL info
- GIORDANO, Nicholas J. and Hisao NAKANISHI. Computational physics. 2nd ed. Upper Saddle River, NJ: Pearson Prentice Hall, 1997, xiii, 544. ISBN 0131469908. info
- PANG, Tao. An introduction to computational physics. 2nd ed. Cambridge: Cambridge University Press, 2006, xv, 385. ISBN 0521825695. info
- GOULD, Harvey, Jan TOBOCHNIK and Wolfgang CHRISTIAN. An introduction to computer simulation methods : applications to physical systems. 3rd ed. San Francisco: Pearson Addison Wesley, 2007, xviii, 796. ISBN 0805377581. info
- KOONIN, Steven E. and Dawn C. MEREDITH. Computational physics : Fortran version. Boulder, Colo.: Westview Press, 1990, 16, 639. ISBN 0201386232. info
- Teaching methods
- Lecture + individual work on PC.
- Assessment methods
- Demands for graded credit: successful presentation of the solution of the assigned semestral project.
- Language of instruction
- Czech
- Follow-Up Courses
- Further Comments
- The course is taught annually.
- Teacher's information
- http://www.physics.muni.cz/~chaloupka/F6150/
F6150 Advanced numerical methods
Faculty of Sciencespring 2018
- Extent and Intensity
- 2/1/0. 3 credit(s) (plus extra credits for completion). Type of Completion: k (colloquium).
- Teacher(s)
- doc. Mgr. Jiří Chaloupka, Ph.D. (lecturer)
doc. Mgr. Jiří Chaloupka, Ph.D. (seminar tutor) - Guaranteed by
- prof. RNDr. Josef Humlíček, CSc.
Department of Condensed Matter Physics – Physics Section – Faculty of Science
Contact Person: doc. Mgr. Jiří Chaloupka, Ph.D.
Supplier department: Department of Condensed Matter Physics – Physics Section – Faculty of Science - Timetable
- Mon 13:00–14:50 Fcom,01034, Mon 15:00–15:50 Fcom,01034
- Prerequisites (in Czech)
- F5330 Basic numerical methods
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Course objectives
- The main objective of the course is to provide the students with the ability to
- list and describe the lectured numerical methods
- apply these methods in particular modelling tasks - Syllabus
- 1. Discrete Fourier transform (FFT algorithm, DFT of real data, DFT variants with symmetry - cosine and sine transforms, multidimensional DFT, applications: spectral analysis, filtering, convolution and deconvolution, jpeg and mp3)
- 2. Multidimensional minimization (simplex method, Powell's method, conjugate-gradient methods, variable metric method, Marquardt-Levenberg algorithm for the sum of squares, simulated annealing, particle swarm method)
- 3. Lanczos diagonalization of sparse matrices
- 4. Numerical quadrature (Gaussian quadrature, Gauss-Kronrod rules, adaptive quadrature)
- 5. Interpolation and approximation (polynomial interpolation - classical formulas and Neville's algorithm, cubic splines, rational interpolation, multidimensional case)
- Literature
- PŘIKRYL, Petr. Numerické metody matematické analýzy. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1985, 187 s. URL info
- ATKINSON, Kendall E. Elementary numerical analysis. 2nd ed. New York: John Wiley & Sons, 1993, xiii, 425. ISBN 0471600105. info
- MÍKA, Stanislav. Numerické metody algebry. 2. vyd. Praha: SNTL - Nakladatelství technické literatury, 1985, 169 s. URL info
- CELÝ, Jan. Řešení fyzikálních úloh na mikropočítačích. 1. vyd. Brno: Rektorát Masarykovy university, 1990, 108 s. ISBN 8021001267. info
- CELÝ, Jan. Programové moduly pro fyzikální výpočty. 1. vyd. Brno: Rektorát UJEP, 1985, 99 s. info
- RALSTON, Anthony. Základy numerické matematiky. Translated by Milan Práger - Emil Vitásek. České vyd. 2. Praha: Academia, 1978, 635 s. info
- VITÁSEK, Emil. Numerické metody. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1987, 512 s. URL info
- GIORDANO, Nicholas J. and Hisao NAKANISHI. Computational physics. 2nd ed. Upper Saddle River, NJ: Pearson Prentice Hall, 1997, xiii, 544. ISBN 0131469908. info
- PANG, Tao. An introduction to computational physics. 2nd ed. Cambridge: Cambridge University Press, 2006, xv, 385. ISBN 0521825695. info
- GOULD, Harvey, Jan TOBOCHNIK and Wolfgang CHRISTIAN. An introduction to computer simulation methods : applications to physical systems. 3rd ed. San Francisco: Pearson Addison Wesley, 2007, xviii, 796. ISBN 0805377581. info
- KOONIN, Steven E. and Dawn C. MEREDITH. Computational physics : Fortran version. Boulder, Colo.: Westview Press, 1990, 16, 639. ISBN 0201386232. info
- Teaching methods
- Lecture + individual work on PC.
- Assessment methods
- Demands for graded credit: successful presentation of the solution of the assigned semestral project.
- Language of instruction
- Czech
- Follow-Up Courses
- Further Comments
- Study Materials
The course is taught annually. - Teacher's information
- http://www.physics.muni.cz/~chaloupka/F6150/
F6150 Advanced numerical methods
Faculty of ScienceSpring 2017
- Extent and Intensity
- 2/1/0. 3 credit(s) (plus extra credits for completion). Type of Completion: graded credit.
- Teacher(s)
- doc. Mgr. Jiří Chaloupka, Ph.D. (lecturer)
doc. Mgr. Jiří Chaloupka, Ph.D. (seminar tutor) - Guaranteed by
- prof. RNDr. Josef Humlíček, CSc.
Department of Condensed Matter Physics – Physics Section – Faculty of Science
Contact Person: doc. Mgr. Jiří Chaloupka, Ph.D.
Supplier department: Department of Condensed Matter Physics – Physics Section – Faculty of Science - Timetable
- Mon 20. 2. to Mon 22. 5. Wed 17:00–18:50 Fcom,01034, Wed 19:00–19:50 Fcom,01034
- Prerequisites (in Czech)
- F5330 Basic numerical methods
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Course objectives
- The main objective of the course is to provide the students with the ability to
- list and describe the lectured numerical methods
- apply these methods in particular modelling tasks - Syllabus
- 1. Discrete Fourier transform (FFT algorithm, DFT of real data, DFT variants with symmetry - cosine and sine transforms, multidimensional DFT, applications: spectral analysis, filtering, convolution and deconvolution, jpeg and mp3)
- 2. Multidimensional minimization (simplex method, Powell's method, conjugate-gradient methods, variable metric method, Marquardt-Levenberg algorithm for the sum of squares, simulated annealing, particle swarm method)
- 3. Lanczos diagonalization of sparse matrices
- 4. Numerical quadrature (Gaussian quadrature, Gauss-Kronrod rules, adaptive quadrature)
- 5. Interpolation and approximation (polynomial interpolation - classical formulas and Neville's algorithm, cubic splines, rational interpolation, multidimensional case)
- Literature
- PŘIKRYL, Petr. Numerické metody matematické analýzy. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1985, 187 s. URL info
- ATKINSON, Kendall E. Elementary numerical analysis. 2nd ed. New York: John Wiley & Sons, 1993, xiii, 425. ISBN 0471600105. info
- MÍKA, Stanislav. Numerické metody algebry. 2. vyd. Praha: SNTL - Nakladatelství technické literatury, 1985, 169 s. URL info
- CELÝ, Jan. Řešení fyzikálních úloh na mikropočítačích. 1. vyd. Brno: Rektorát Masarykovy university, 1990, 108 s. ISBN 8021001267. info
- CELÝ, Jan. Programové moduly pro fyzikální výpočty. 1. vyd. Brno: Rektorát UJEP, 1985, 99 s. info
- RALSTON, Anthony. Základy numerické matematiky. Translated by Milan Práger - Emil Vitásek. České vyd. 2. Praha: Academia, 1978, 635 s. info
- VITÁSEK, Emil. Numerické metody. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1987, 512 s. URL info
- GIORDANO, Nicholas J. and Hisao NAKANISHI. Computational physics. 2nd ed. Upper Saddle River, NJ: Pearson Prentice Hall, 1997, xiii, 544. ISBN 0131469908. info
- PANG, Tao. An introduction to computational physics. 2nd ed. Cambridge: Cambridge University Press, 2006, xv, 385. ISBN 0521825695. info
- GOULD, Harvey, Jan TOBOCHNIK and Wolfgang CHRISTIAN. An introduction to computer simulation methods : applications to physical systems. 3rd ed. San Francisco: Pearson Addison Wesley, 2007, xviii, 796. ISBN 0805377581. info
- KOONIN, Steven E. and Dawn C. MEREDITH. Computational physics : Fortran version. Boulder, Colo.: Westview Press, 1990, 16, 639. ISBN 0201386232. info
- Teaching methods
- Lecture + individual work on PC.
- Assessment methods
- Demands for graded credit: successful presentation of the solution of the assigned semestral project.
- Language of instruction
- Czech
- Follow-Up Courses
- Further Comments
- Study Materials
The course is taught annually. - Teacher's information
- http://www.physics.muni.cz/~chaloupka/F6150/
F6150 Advanced numerical methods
Faculty of ScienceSpring 2016
- Extent and Intensity
- 2/1/0. 3 credit(s) (plus extra credits for completion). Type of Completion: graded credit.
- Teacher(s)
- doc. Mgr. Jiří Chaloupka, Ph.D. (lecturer)
doc. Mgr. Jiří Chaloupka, Ph.D. (seminar tutor) - Guaranteed by
- prof. RNDr. Josef Humlíček, CSc.
Department of Condensed Matter Physics – Physics Section – Faculty of Science
Contact Person: doc. Mgr. Jiří Chaloupka, Ph.D.
Supplier department: Department of Condensed Matter Physics – Physics Section – Faculty of Science - Timetable
- Mon 16:00–17:50 Fcom,01034, Mon 18:00–18:50 Fcom,01034
- Prerequisites (in Czech)
- F5330 Basic numerical methods
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Course objectives
- The main objective of the course is to provide the students with the ability to
- list and describe the lectured numerical methods
- apply these methods in particular modelling tasks - Syllabus
- 1. Discrete Fourier transform (FFT algorithm, DFT of real data, DFT variants with symmetry - cosine and sine transforms, multidimensional DFT, applications: spectral analysis, filtering, convolution and deconvolution, jpeg and mp3)
- 2. Multidimensional minimization (simplex method, Powell's method, conjugate-gradient methods, variable metric method, Marquardt-Levenberg algorithm for the sum of squares, simulated annealing, particle swarm method)
- 3. Lanczos diagonalization of sparse matrices
- 4. Numerical quadrature (Gaussian quadrature, Gauss-Kronrod rules, adaptive quadrature)
- 5. Interpolation and approximation (polynomial interpolation - classical formulas and Neville's algorithm, cubic splines, rational interpolation, multidimensional case)
- Literature
- PŘIKRYL, Petr. Numerické metody matematické analýzy. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1985, 187 s. URL info
- ATKINSON, Kendall E. Elementary numerical analysis. 2nd ed. New York: John Wiley & Sons, 1993, xiii, 425. ISBN 0471600105. info
- MÍKA, Stanislav. Numerické metody algebry. 2. vyd. Praha: SNTL - Nakladatelství technické literatury, 1985, 169 s. URL info
- CELÝ, Jan. Řešení fyzikálních úloh na mikropočítačích. 1. vyd. Brno: Rektorát Masarykovy university, 1990, 108 s. ISBN 8021001267. info
- CELÝ, Jan. Programové moduly pro fyzikální výpočty. 1. vyd. Brno: Rektorát UJEP, 1985, 99 s. info
- RALSTON, Anthony. Základy numerické matematiky. Translated by Milan Práger - Emil Vitásek. České vyd. 2. Praha: Academia, 1978, 635 s. info
- VITÁSEK, Emil. Numerické metody. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1987, 512 s. URL info
- GIORDANO, Nicholas J. and Hisao NAKANISHI. Computational physics. 2nd ed. Upper Saddle River, NJ: Pearson Prentice Hall, 1997, xiii, 544. ISBN 0131469908. info
- PANG, Tao. An introduction to computational physics. 2nd ed. Cambridge: Cambridge University Press, 2006, xv, 385. ISBN 0521825695. info
- GOULD, Harvey, Jan TOBOCHNIK and Wolfgang CHRISTIAN. An introduction to computer simulation methods : applications to physical systems. 3rd ed. San Francisco: Pearson Addison Wesley, 2007, xviii, 796. ISBN 0805377581. info
- KOONIN, Steven E. and Dawn C. MEREDITH. Computational physics : Fortran version. Boulder, Colo.: Westview Press, 1990, 16, 639. ISBN 0201386232. info
- Teaching methods
- Lecture + individual work on PC.
- Assessment methods
- Demands for graded credit: successful presentation of the solution of the assigned semestral project.
- Language of instruction
- Czech
- Follow-Up Courses
- Further Comments
- The course is taught annually.
- Teacher's information
- http://www.physics.muni.cz/~chaloupka/F6150/
F6150 Advanced numerical methods
Faculty of ScienceSpring 2015
- Extent and Intensity
- 2/1/0. 3 credit(s) (plus extra credits for completion). Type of Completion: graded credit.
- Teacher(s)
- doc. Mgr. Jiří Chaloupka, Ph.D. (lecturer)
doc. Mgr. Jiří Chaloupka, Ph.D. (seminar tutor) - Guaranteed by
- prof. RNDr. Josef Humlíček, CSc.
Department of Condensed Matter Physics – Physics Section – Faculty of Science
Contact Person: doc. Mgr. Jiří Chaloupka, Ph.D.
Supplier department: Department of Condensed Matter Physics – Physics Section – Faculty of Science - Timetable
- Mon 15:00–16:50 Fcom,01034, Mon 17:00–17:50 Fcom,01034
- Prerequisites (in Czech)
- F5330 Basic numerical methods
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Course objectives
- The main objective of the course is to provide the students with the ability to
- list and describe the lectured numerical methods
- apply these methods in particular modelling tasks - Syllabus
- 1. Discrete Fourier transform (FFT algorithm, DFT of real data, DFT variants with symmetry - cosine and sine transforms, multidimensional DFT, applications: spectral analysis, filtering, convolution and deconvolution, jpeg and mp3)
- 2. Multidimensional minimization (simplex method, Powell's method, conjugate-gradient methods, variable metric method, Marquardt-Levenberg algorithm for the sum of squares, simulated annealing, particle swarm method)
- 3. Lanczos diagonalization of sparse matrices
- 4. Numerical quadrature (Gaussian quadrature, Gauss-Kronrod rules, adaptive quadrature)
- 5. Interpolation and approximation (polynomial interpolation - classical formulas and Neville's algorithm, cubic splines, rational interpolation, multidimensional case)
- Literature
- PŘIKRYL, Petr. Numerické metody matematické analýzy. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1985, 187 s. URL info
- ATKINSON, Kendall E. Elementary numerical analysis. 2nd ed. New York: John Wiley & Sons, 1993, xiii, 425. ISBN 0471600105. info
- MÍKA, Stanislav. Numerické metody algebry. 2. vyd. Praha: SNTL - Nakladatelství technické literatury, 1985, 169 s. URL info
- CELÝ, Jan. Řešení fyzikálních úloh na mikropočítačích. 1. vyd. Brno: Rektorát Masarykovy university, 1990, 108 s. ISBN 8021001267. info
- CELÝ, Jan. Programové moduly pro fyzikální výpočty. 1. vyd. Brno: Rektorát UJEP, 1985, 99 s. info
- RALSTON, Anthony. Základy numerické matematiky. Translated by Milan Práger - Emil Vitásek. České vyd. 2. Praha: Academia, 1978, 635 s. info
- VITÁSEK, Emil. Numerické metody. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1987, 512 s. URL info
- GIORDANO, Nicholas J. and Hisao NAKANISHI. Computational physics. 2nd ed. Upper Saddle River, NJ: Pearson Prentice Hall, 1997, xiii, 544. ISBN 0131469908. info
- PANG, Tao. An introduction to computational physics. 2nd ed. Cambridge: Cambridge University Press, 2006, xv, 385. ISBN 0521825695. info
- GOULD, Harvey, Jan TOBOCHNIK and Wolfgang CHRISTIAN. An introduction to computer simulation methods : applications to physical systems. 3rd ed. San Francisco: Pearson Addison Wesley, 2007, xviii, 796. ISBN 0805377581. info
- KOONIN, Steven E. and Dawn C. MEREDITH. Computational physics : Fortran version. Boulder, Colo.: Westview Press, 1990, 16, 639. ISBN 0201386232. info
- Teaching methods
- Lecture + individual work on PC.
- Assessment methods
- Demands for graded credit: successful presentation of the solution of the assigned semestral project.
- Language of instruction
- Czech
- Follow-Up Courses
- Further Comments
- The course is taught annually.
- Teacher's information
- http://www.physics.muni.cz/~chaloupka/F6150/
F6150 Advanced numerical methods
Faculty of ScienceSpring 2014
- Extent and Intensity
- 2/1/0. 3 credit(s) (plus extra credits for completion). Type of Completion: graded credit.
- Teacher(s)
- doc. Mgr. Jiří Chaloupka, Ph.D. (lecturer)
doc. Mgr. Jiří Chaloupka, Ph.D. (seminar tutor) - Guaranteed by
- prof. RNDr. Josef Humlíček, CSc.
Department of Condensed Matter Physics – Physics Section – Faculty of Science
Contact Person: doc. Mgr. Jiří Chaloupka, Ph.D.
Supplier department: Department of Condensed Matter Physics – Physics Section – Faculty of Science - Timetable
- Tue 16:00–17:50 Fcom,01034, Tue 18:00–18:50 Fcom,01034
- Prerequisites (in Czech)
- F5330 Basic numerical methods
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Course objectives
- The main objective of the course is to provide the students with the ability to
- list and describe the lectured numerical methods
- apply these methods in particular modelling tasks - Syllabus
- 1. Discrete Fourier transform (FFT algorithm, DFT of real data, DFT variants with symmetry - cosine and sine transforms, multidimensional DFT, applications: spectral analysis, filtering, convolution and deconvolution, jpeg and mp3)
- 2. Multidimensional minimization (simplex method, Powell's method, conjugate-gradient methods, variable metric method, Marquardt-Levenberg algorithm for the sum of squares, simulated annealing, particle swarm method)
- 3. Lanczos diagonalization of sparse matrices
- 4. Numerical quadrature (Gaussian quadrature, Gauss-Kronrod rules, adaptive quadrature)
- 5. Interpolation and approximation (polynomial interpolation - classical formulas and Neville's algorithm, cubic splines, rational interpolation, multidimensional case)
- Literature
- PŘIKRYL, Petr. Numerické metody matematické analýzy. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1985, 187 s. URL info
- ATKINSON, Kendall E. Elementary numerical analysis. 2nd ed. New York: John Wiley & Sons, 1993, xiii, 425. ISBN 0471600105. info
- MÍKA, Stanislav. Numerické metody algebry. 2. vyd. Praha: SNTL - Nakladatelství technické literatury, 1985, 169 s. URL info
- CELÝ, Jan. Řešení fyzikálních úloh na mikropočítačích. 1. vyd. Brno: Rektorát Masarykovy university, 1990, 108 s. ISBN 8021001267. info
- CELÝ, Jan. Programové moduly pro fyzikální výpočty. 1. vyd. Brno: Rektorát UJEP, 1985, 99 s. info
- RALSTON, Anthony. Základy numerické matematiky. Translated by Milan Práger - Emil Vitásek. České vyd. 2. Praha: Academia, 1978, 635 s. info
- VITÁSEK, Emil. Numerické metody. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1987, 512 s. URL info
- GIORDANO, Nicholas J. and Hisao NAKANISHI. Computational physics. 2nd ed. Upper Saddle River, NJ: Pearson Prentice Hall, 1997, xiii, 544. ISBN 0131469908. info
- PANG, Tao. An introduction to computational physics. 2nd ed. Cambridge: Cambridge University Press, 2006, xv, 385. ISBN 0521825695. info
- GOULD, Harvey, Jan TOBOCHNIK and Wolfgang CHRISTIAN. An introduction to computer simulation methods : applications to physical systems. 3rd ed. San Francisco: Pearson Addison Wesley, 2007, xviii, 796. ISBN 0805377581. info
- KOONIN, Steven E. and Dawn C. MEREDITH. Computational physics : Fortran version. Boulder, Colo.: Westview Press, 1990, 16, 639. ISBN 0201386232. info
- Teaching methods
- Lecture + individual work on PC.
- Assessment methods
- Demands for graded credit: successful presentation of the solution of the assigned semestral project.
- Language of instruction
- Czech
- Follow-Up Courses
- Further Comments
- The course is taught annually.
- Teacher's information
- http://www.physics.muni.cz/~chaloupka/F6150/
F6150 Advanced numerical methods
Faculty of ScienceSpring 2013
- Extent and Intensity
- 2/1/0. 3 credit(s) (plus extra credits for completion). Type of Completion: graded credit.
- Teacher(s)
- doc. Mgr. Jiří Chaloupka, Ph.D. (lecturer)
doc. Mgr. Jiří Chaloupka, Ph.D. (seminar tutor) - Guaranteed by
- prof. RNDr. Josef Humlíček, CSc.
Department of Condensed Matter Physics – Physics Section – Faculty of Science
Contact Person: doc. Mgr. Jiří Chaloupka, Ph.D.
Supplier department: Department of Condensed Matter Physics – Physics Section – Faculty of Science - Timetable
- Tue 7:00–8:50 Fs1 6/1017, Wed 15:00–15:50 Fcom,01034
- Prerequisites (in Czech)
- F5330 Basic numerical methods
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Course objectives
- The main objective of the course is to provide the students with the ability to
- list and describe the lectured numerical methods
- apply these methods in particular modelling tasks - Syllabus
- 1. Discrete Fourier transform (FFT algorithm, DFT of real data, DFT variants with symmetry - cosine and sine transforms, multidimensional DFT, applications: spectral analysis, filtering, convolution and deconvolution, jpeg and mp3)
- 2. Multidimensional minimization (simplex method, Powell's method, conjugate-gradient methods, variable metric method, Marquardt-Levenberg algorithm for the sum of squares, simulated annealing, particle swarm method)
- 3. Lanczos diagonalization of sparse matrices
- 4. Numerical quadrature (Gaussian quadrature, Gauss-Kronrod rules, adaptive quadrature)
- 5. Interpolation and approximation (polynomial interpolation - classical formulas and Neville's algorithm, cubic splines, rational interpolation, multidimensional case)
- Literature
- PŘIKRYL, Petr. Numerické metody matematické analýzy. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1985, 187 s. URL info
- ATKINSON, Kendall E. Elementary numerical analysis. 2nd ed. New York: John Wiley & Sons, 1993, xiii, 425. ISBN 0471600105. info
- MÍKA, Stanislav. Numerické metody algebry. 2. vyd. Praha: SNTL - Nakladatelství technické literatury, 1985, 169 s. URL info
- CELÝ, Jan. Řešení fyzikálních úloh na mikropočítačích. 1. vyd. Brno: Rektorát Masarykovy university, 1990, 108 s. ISBN 8021001267. info
- CELÝ, Jan. Programové moduly pro fyzikální výpočty. 1. vyd. Brno: Rektorát UJEP, 1985, 99 s. info
- RALSTON, Anthony. Základy numerické matematiky. Translated by Milan Práger - Emil Vitásek. České vyd. 2. Praha: Academia, 1978, 635 s. info
- VITÁSEK, Emil. Numerické metody. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1987, 512 s. URL info
- GIORDANO, Nicholas J. and Hisao NAKANISHI. Computational physics. 2nd ed. Upper Saddle River, NJ: Pearson Prentice Hall, 1997, xiii, 544. ISBN 0131469908. info
- PANG, Tao. An introduction to computational physics. 2nd ed. Cambridge: Cambridge University Press, 2006, xv, 385. ISBN 0521825695. info
- GOULD, Harvey, Jan TOBOCHNIK and Wolfgang CHRISTIAN. An introduction to computer simulation methods : applications to physical systems. 3rd ed. San Francisco: Pearson Addison Wesley, 2007, xviii, 796. ISBN 0805377581. info
- KOONIN, Steven E. and Dawn C. MEREDITH. Computational physics : Fortran version. Boulder, Colo.: Westview Press, 1990, 16, 639. ISBN 0201386232. info
- Teaching methods
- Lecture + individual work on PC.
- Assessment methods
- Demands for graded credit: successful presentation of the solution of the assigned semestral project.
- Language of instruction
- Czech
- Follow-Up Courses
- Further Comments
- The course is taught annually.
- Teacher's information
- http://www.physics.muni.cz/~chaloupka/F6150/
F6150 Advanced numerical methods
Faculty of ScienceSpring 2012
- Extent and Intensity
- 2/1/0. 3 credit(s) (plus extra credits for completion). Type of Completion: graded credit.
- Teacher(s)
- doc. RNDr. Jan Celý, CSc. (lecturer)
doc. RNDr. Jan Celý, CSc. (seminar tutor) - Guaranteed by
- prof. RNDr. Josef Humlíček, CSc.
Department of Condensed Matter Physics – Physics Section – Faculty of Science
Contact Person: prof. RNDr. Josef Humlíček, CSc.
Supplier department: Department of Condensed Matter Physics – Physics Section – Faculty of Science - Timetable
- Tue 15:00–16:50 Fs1 6/1017, Thu 13:00–13:50 Fs1 6/1017
- Prerequisites (in Czech)
- F5330 Basic numerical methods
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Biophysics (programme PřF, M-FY)
- Physics (programme PřF, B-FY)
- Physics (programme PřF, M-FY)
- Physics (programme PřF, N-FY)
- Course objectives
- The main objective of the course is to provide the students with the ability to
- list and describe the lectured numerical methods
- apply these methods in particular modelling tasks - Syllabus
- 1. Polynomial interpolation and aproximation.
- 2. Cubic interpolation spline.
- 3. Data smoothing,smoothing spline.
- 4. Numerical differentiation.
- 5. Numerical quadrature: Newton-Cotes methods, Richardson extrapolation and Romberg quadrature, Gauss methods.
- 6. Minimization of functions.
- 7. Multidimensional optimization, nonlinear regression.
- 8. Initial-value problem for ordinary differential equations: Runge-Kutta methods, multistep methods. 9. Boundary-value problem for ordinary differential equations. 10. Introduction to numerical solution of partial differential equations: heat equation in 1D, Laplace problem in 2D.
- 11. Discrete Fourier transform, fast Fourier transform.
- Literature
- PŘIKRYL, Petr. Numerické metody matematické analýzy. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1985, 187 s. URL info
- ATKINSON, Kendall E. Elementary numerical analysis. 2nd ed. New York: John Wiley & Sons, 1993, xiii, 425. ISBN 0471600105. info
- MÍKA, Stanislav. Numerické metody algebry. 2. vyd. Praha: SNTL - Nakladatelství technické literatury, 1985, 169 s. URL info
- CELÝ, Jan. Řešení fyzikálních úloh na mikropočítačích. 1. vyd. Brno: Rektorát Masarykovy university, 1990, 108 s. ISBN 8021001267. info
- CELÝ, Jan. Programové moduly pro fyzikální výpočty. 1. vyd. Brno: Rektorát UJEP, 1985, 99 s. info
- RALSTON, Anthony. Základy numerické matematiky. Translated by Milan Práger - Emil Vitásek. České vyd. 2. Praha: Academia, 1978, 635 s. info
- VITÁSEK, Emil. Numerické metody. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1987, 512 s. URL info
- GIORDANO, Nicholas J. and Hisao NAKANISHI. Computational physics. 2nd ed. Upper Saddle River, NJ: Pearson Prentice Hall, 1997, xiii, 544. ISBN 0131469908. info
- PANG, Tao. An introduction to computational physics. 2nd ed. Cambridge: Cambridge University Press, 2006, xv, 385. ISBN 0521825695. info
- GOULD, Harvey, Jan TOBOCHNIK and Wolfgang CHRISTIAN. An introduction to computer simulation methods : applications to physical systems. 3rd ed. San Francisco: Pearson Addison Wesley, 2007, xviii, 796. ISBN 0805377581. info
- KOONIN, Steven E. and Dawn C. MEREDITH. Computational physics : Fortran version. Boulder, Colo.: Westview Press, 1990, 16, 639. ISBN 0201386232. info
- Teaching methods
- Lecture + individual work on PC.
- Assessment methods
- Demands for graded credit: oral examination of topics knowledge on lectured topics + presentation of sufficient results of individual work during the semester.
- Language of instruction
- Czech
- Further Comments
- The course is taught annually.
- Teacher's information
- http://monoceros.physics.muni.cz/~jancely
F6150 Advanced numerical methods
Faculty of ScienceSpring 2011
- Extent and Intensity
- 2/1/0. 3 credit(s) (plus extra credits for completion). Type of Completion: graded credit.
- Teacher(s)
- doc. RNDr. Jan Celý, CSc. (lecturer)
doc. RNDr. Jan Celý, CSc. (seminar tutor) - Guaranteed by
- prof. RNDr. Josef Humlíček, CSc.
Department of Condensed Matter Physics – Physics Section – Faculty of Science
Contact Person: prof. RNDr. Josef Humlíček, CSc. - Timetable
- Thu 14:00–15:50 Fs1 6/1017, Thu 16:00–16:50 Fs1 6/1017
- Prerequisites (in Czech)
- F5330 Basic numerical methods
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Biophysics (programme PřF, M-FY)
- Physics (programme PřF, B-FY)
- Physics (programme PřF, M-FY)
- Physics (programme PřF, N-FY)
- Course objectives
- The main objective of the course is to provide the students with the ability to
- list and describe the lectured numerical methods
- apply these methods in particular modelling tasks - Syllabus
- 1. Polynomial interpolation and aproximation.
- 2. Cubic interpolation spline.
- 3. Data smoothing,smoothing spline.
- 4. Numerical differentiation.
- 5. Numerical quadrature: Newton-Cotes methods, Richardson extrapolation and Romberg quadrature, Gauss methods.
- 6. Minimization of functions.
- 7. Multidimensional optimization, nonlinear regression.
- 8. Initial-value problem for ordinary differential equations: Runge-Kutta methods, multistep methods. 9. Boundary-value problem for ordinary differential equations. 10. Introduction to numerical solution of partial differential equations: heat equation in 1D, Laplace problem in 2D.
- 11. Discrete Fourier transform, fast Fourier transform.
- Literature
- PŘIKRYL, Petr. Numerické metody matematické analýzy. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1985, 187 s. URL info
- ATKINSON, Kendall E. Elementary numerical analysis. 2nd ed. New York: John Wiley & Sons, 1993, xiii, 425. ISBN 0471600105. info
- MÍKA, Stanislav. Numerické metody algebry. 2. vyd. Praha: SNTL - Nakladatelství technické literatury, 1985, 169 s. URL info
- CELÝ, Jan. Řešení fyzikálních úloh na mikropočítačích. 1. vyd. Brno: Rektorát Masarykovy university, 1990, 108 s. ISBN 8021001267. info
- CELÝ, Jan. Programové moduly pro fyzikální výpočty. 1. vyd. Brno: Rektorát UJEP, 1985, 99 s. info
- RALSTON, Anthony. Základy numerické matematiky. Translated by Milan Práger - Emil Vitásek. České vyd. 2. Praha: Academia, 1978, 635 s. info
- VITÁSEK, Emil. Numerické metody. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1987, 512 s. URL info
- GIORDANO, Nicholas J. and Hisao NAKANISHI. Computational physics. 2nd ed. Upper Saddle River, NJ: Pearson Prentice Hall, 1997, xiii, 544. ISBN 0131469908. info
- PANG, Tao. An introduction to computational physics. 2nd ed. Cambridge: Cambridge University Press, 2006, xv, 385. ISBN 0521825695. info
- GOULD, Harvey, Jan TOBOCHNIK and Wolfgang CHRISTIAN. An introduction to computer simulation methods : applications to physical systems. 3rd ed. San Francisco: Pearson Addison Wesley, 2007, xviii, 796. ISBN 0805377581. info
- KOONIN, Steven E. and Dawn C. MEREDITH. Computational physics : Fortran version. Boulder, Colo.: Westview Press, 1990, 16, 639. ISBN 0201386232. info
- Teaching methods
- Lecture + individual work on PC.
- Assessment methods
- Demands for graded credit: oral examination of topics knowledge on lectured topics + presentation of sufficient results of individual work during the semester.
- Language of instruction
- Czech
- Further Comments
- The course is taught annually.
- Teacher's information
- http://monoceros.physics.muni.cz/~jancely
F6150 Advanced numerical methods
Faculty of ScienceSpring 2010
- Extent and Intensity
- 2/1/0. 3 credit(s) (plus extra credits for completion). Type of Completion: graded credit.
- Teacher(s)
- doc. RNDr. Jan Celý, CSc. (lecturer)
doc. RNDr. Jan Celý, CSc. (seminar tutor) - Guaranteed by
- prof. RNDr. Josef Humlíček, CSc.
Department of Condensed Matter Physics – Physics Section – Faculty of Science
Contact Person: prof. RNDr. Josef Humlíček, CSc. - Timetable
- Wed 16:00–17:50 Kontaktujte učitele, Wed 18:00–18:50 Kontaktujte učitele
- Prerequisites (in Czech)
- F5330 Basic numerical methods
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Biophysics (programme PřF, M-FY)
- Physics (programme PřF, B-FY)
- Physics (programme PřF, M-FY)
- Physics (programme PřF, N-FY)
- Course objectives
- The main objective of the course is to provide the students with the ability to
- list and describe the lectured numerical methods
- apply these methods in particular modelling tasks - Syllabus
- 1. Polynomial interpolation and aproximation.
- 2. Cubic interpolation spline.
- 3. Data smoothing,smoothing spline.
- 4. Numerical differentiation.
- 5. Numerical quadrature: Newton-Cotes methods, Richardson extrapolation and Romberg quadrature, Gauss methods.
- 6. Minimization of functions.
- 7. Multidimensional optimization, nonlinear regression.
- 8. Initial-value problem for ordinary differential equations: Runge-Kutta methods, multistep methods. 9. Boundary-value problem for ordinary differential equations. 10. Introduction to numerical solution of partial differential equations: heat equation in 1D, Laplace problem in 2D.
- 11. Discrete Fourier transform, fast Fourier transform.
- Literature
- PŘIKRYL, Petr. Numerické metody matematické analýzy. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1985, 187 s. URL info
- ATKINSON, Kendall E. Elementary numerical analysis. 2nd ed. New York: John Wiley & Sons, 1993, xiii, 425. ISBN 0471600105. info
- MÍKA, Stanislav. Numerické metody algebry. 2. vyd. Praha: SNTL - Nakladatelství technické literatury, 1985, 169 s. URL info
- CELÝ, Jan. Řešení fyzikálních úloh na mikropočítačích. 1. vyd. Brno: Rektorát Masarykovy university, 1990, 108 s. ISBN 8021001267. info
- CELÝ, Jan. Programové moduly pro fyzikální výpočty. 1. vyd. Brno: Rektorát UJEP, 1985, 99 s. info
- RALSTON, Anthony. Základy numerické matematiky. Translated by Milan Práger - Emil Vitásek. České vyd. 2. Praha: Academia, 1978, 635 s. info
- VITÁSEK, Emil. Numerické metody. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1987, 512 s. URL info
- GIORDANO, Nicholas J. and Hisao NAKANISHI. Computational physics. 2nd ed. Upper Saddle River, NJ: Pearson Prentice Hall, 1997, xiii, 544. ISBN 0131469908. info
- PANG, Tao. An introduction to computational physics. 2nd ed. Cambridge: Cambridge University Press, 2006, xv, 385. ISBN 0521825695. info
- GOULD, Harvey, Jan TOBOCHNIK and Wolfgang CHRISTIAN. An introduction to computer simulation methods : applications to physical systems. 3rd ed. San Francisco: Pearson Addison Wesley, 2007, xviii, 796. ISBN 0805377581. info
- KOONIN, Steven E. and Dawn C. MEREDITH. Computational physics : Fortran version. Boulder, Colo.: Westview Press, 1990, 16, 639. ISBN 0201386232. info
- Teaching methods
- Lecture + individual work on PC.
- Assessment methods
- Demands for graded credit: oral examination of topics knowledge on lectured topics + presentation of sufficient results of individual work during the semester.
- Language of instruction
- Czech
- Further Comments
- Study Materials
The course is taught annually. - Teacher's information
- http://monoceros.physics.muni.cz/~jancely
F6150 Advanced numerical methods
Faculty of ScienceSpring 2009
- Extent and Intensity
- 2/1/0. 3 credit(s) (plus extra credits for completion). Type of Completion: graded credit.
- Teacher(s)
- doc. RNDr. Jan Celý, CSc. (lecturer)
doc. RNDr. Jan Celý, CSc. (seminar tutor) - Guaranteed by
- prof. RNDr. Josef Humlíček, CSc.
Department of Condensed Matter Physics – Physics Section – Faculty of Science
Contact Person: prof. RNDr. Josef Humlíček, CSc. - Timetable
- Thu 15:00–16:50 Fs1 6/1017, Thu 17:00–17:50 Fs1 6/1017
- Prerequisites (in Czech)
- F5330 Basic numerical methods
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Biophysics (programme PřF, M-FY)
- Physics (programme PřF, B-FY)
- Physics (programme PřF, M-FY)
- Physics (programme PřF, N-FY)
- Course objectives
- During the semester students obtain basic knowledge on themes: Interpolation and aproximation, numerical quadrature,multidimensional minimization and nonlinear regression, initial-value and boundary-value problems for ODEs,introduction to solving PDEs, fast Fourier transform.
- Syllabus
- 1. Polynomial interpolation and aproximation.
- 2. Cubic interpolation spline.
- 3. Data smoothing,smoothing spline.
- 4. Numerical differentiation.
- 5. Numerical quadrature: Newton-Cotes methods, Richardson extrapolation and Romberg quadrature, Gauss methods.
- 6. Minimization of functions.
- 7. Multidimensional optimization, nonlinear regression.
- 8. Initial-value problem for ordinary differential equations: Runge-Kutta methods, multistep methods. 9. Boundary-value problem for ordinary differential equations. 10. Introduction to numerical solution of partial differential equations: heat equation in 1D, Laplace problem in 2D.
- 11. Discrete Fourier transform, fast Fourier transform.
- Literature
- PŘIKRYL, Petr. Numerické metody matematické analýzy. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1985, 187 s. URL info
- ATKINSON, Kendall E. Elementary numerical analysis. 2nd ed. New York: John Wiley & Sons, 1993, xiii, 425. ISBN 0471600105. info
- MÍKA, Stanislav. Numerické metody algebry. 2. vyd. Praha: SNTL - Nakladatelství technické literatury, 1985, 169 s. URL info
- CELÝ, Jan. Řešení fyzikálních úloh na mikropočítačích. 1. vyd. Brno: Rektorát Masarykovy university, 1990, 108 s. ISBN 8021001267. info
- CELÝ, Jan. Programové moduly pro fyzikální výpočty. 1. vyd. Brno: Rektorát UJEP, 1985, 99 s. info
- RALSTON, Anthony. Základy numerické matematiky. Translated by Milan Práger - Emil Vitásek. České vyd. 2. Praha: Academia, 1978, 635 s. info
- VITÁSEK, Emil. Numerické metody. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1987, 512 s. URL info
- GIORDANO, Nicholas J. and Hisao NAKANISHI. Computational physics. 2nd ed. Upper Saddle River, NJ: Pearson Prentice Hall, 1997, xiii, 544. ISBN 0131469908. info
- PANG, Tao. An introduction to computational physics. 2nd ed. Cambridge: Cambridge University Press, 2006, xv, 385. ISBN 0521825695. info
- GOULD, Harvey, Jan TOBOCHNIK and Wolfgang CHRISTIAN. An introduction to computer simulation methods : applications to physical systems. 3rd ed. San Francisco: Pearson Addison Wesley, 2007, xviii, 796. ISBN 0805377581. info
- KOONIN, Steven E. and Dawn C. MEREDITH. Computational physics : Fortran version. Boulder, Colo.: Westview Press, 1990, 16, 639. ISBN 0201386232. info
- Assessment methods
- Lecture + individual work on PC. Demands for graded credit: have a good knowledge of topics presented in the lecture together with solid results of individual work during the semester.
- Language of instruction
- Czech
- Further Comments
- The course is taught annually.
- Teacher's information
- http://monoceros.physics.muni.cz/~jancely
F6150 Advanced numerical methods
Faculty of ScienceSpring 2008
- Extent and Intensity
- 2/1/0. 3 credit(s) (fasci plus compl plus > 4). Type of Completion: graded credit.
- Teacher(s)
- doc. RNDr. Jan Celý, CSc. (lecturer)
doc. RNDr. Jan Celý, CSc. (seminar tutor) - Guaranteed by
- prof. RNDr. Josef Humlíček, CSc.
Department of Condensed Matter Physics – Physics Section – Faculty of Science
Contact Person: prof. RNDr. Josef Humlíček, CSc. - Timetable
- Tue 14:00–15:50 Fcom,01034, Thu 10:00–10:50 Kontaktujte učitele
- Prerequisites (in Czech)
- F5330 Basic numerical methods
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Biophysics (programme PřF, M-FY)
- Physics (programme PřF, B-FY)
- Physics (programme PřF, M-FY)
- Physics (programme PřF, N-FY)
- Course objectives
- 1. Interpolation. Polynomials. 2. Cubic interpolation spline. 3. Smoothing. Polynomials. 4. Trigonometric polynomials. Discrete Fourier transform. 5. Fast Fourier transform. 6. Numerical differentiation. 7. Numerical quadrature. 8. Romberg and Gauss quadrature. 9. Minimization of functions. 10. Multidimensional minimization. 11. Solving ordinary differential equations. 12. Solving partial differential equations.
- Syllabus (in Czech)
- 1. Interpolace funkcí. Polynomy. 2. Kubický interpolační splajn. 3. Vyhlazování. Polynomy. 4. Trigonometrické polynomy. Diskrétní Fourierova transformace. 5. Rychlá Fourierova transformace. 6. Numerické derivování. 7. Numerická intergrace. 8. Rombergova a Gaussova kvasratura. 9. Řešení transcendentních rovnic. 10. Minimalizace funkcí jedné proměnné. 11. Vícerozměrná minimalizace. 12. Řešení obyčejných diferenciálních rovnic. 13. Řešení parciálních diferenciálních rovnic.
- Literature
- PŘIKRYL, Petr. Numerické metody matematické analýzy. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1985, 187 s. URL info
- ATKINSON, Kendall E. Elementary numerical analysis. 2nd ed. New York: John Wiley & Sons, 1993, xiii, 425. ISBN 0471600105. info
- MÍKA, Stanislav. Numerické metody algebry. 2. vyd. Praha: SNTL - Nakladatelství technické literatury, 1985, 169 s. URL info
- CELÝ, Jan. Řešení fyzikálních úloh na mikropočítačích. 1. vyd. Brno: Rektorát Masarykovy university, 1990, 108 s. ISBN 8021001267. info
- CELÝ, Jan. Programové moduly pro fyzikální výpočty. 1. vyd. Brno: Rektorát UJEP, 1985, 99 s. info
- RALSTON, Anthony. Základy numerické matematiky. Translated by Milan Práger - Emil Vitásek. České vyd. 2. Praha: Academia, 1978, 635 s. info
- VITÁSEK, Emil. Numerické metody. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1987, 512 s. URL info
- GIORDANO, Nicholas J. and Hisao NAKANISHI. Computational physics. 2nd ed. Upper Saddle River, NJ: Pearson Prentice Hall, 1997, xiii, 544. ISBN 0131469908. info
- PANG, Tao. An introduction to computational physics. 2nd ed. Cambridge: Cambridge University Press, 2006, xv, 385. ISBN 0521825695. info
- GOULD, Harvey, Jan TOBOCHNIK and Wolfgang CHRISTIAN. An introduction to computer simulation methods : applications to physical systems. 3rd ed. San Francisco: Pearson Addison Wesley, 2007, xviii, 796. ISBN 0805377581. info
- KOONIN, Steven E. and Dawn C. MEREDITH. Computational physics : Fortran version. Boulder, Colo.: Westview Press, 1990, 16, 639. ISBN 0201386232. info
- Language of instruction
- Czech
- Further Comments
- The course is taught annually.
F6150 Advanced numerical methods
Faculty of ScienceSpring 2007
- Extent and Intensity
- 2/1/0. 3 credit(s) (fasci plus compl plus > 4). Type of Completion: graded credit.
- Teacher(s)
- doc. RNDr. Jan Celý, CSc. (lecturer)
doc. RNDr. Jan Celý, CSc. (seminar tutor) - Guaranteed by
- prof. RNDr. Josef Humlíček, CSc.
Department of Condensed Matter Physics – Physics Section – Faculty of Science
Contact Person: prof. RNDr. Josef Humlíček, CSc. - Timetable
- Fri 11:00–12:50 Fs1 6/1017, Fri 13:00–13:50 Fs1 6/1017
- Prerequisites (in Czech)
- F5330 Basic numerical methods
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Biophysics (programme PřF, M-FY)
- Physics (programme PřF, B-FY)
- Physics (programme PřF, M-FY)
- Physics (programme PřF, N-FY)
- Course objectives
- 1. Interpolation. Polynomials. 2. Cubic interpolation spline. 3. Smoothing. Polynomials. 4. Trigonometric polynomials. Discrete Fourier transform. 5. Fast Fourier transform. 6. Numerical differentiation. 7. Numerical quadrature. 8. Romberg and Gauss quadrature. 9. Minimization of functions. 10. Multidimensional minimization. 11. Solving ordinary differential equations. 12. Solving partial differential equations.
- Syllabus (in Czech)
- 1. Interpolace funkcí. Polynomy. 2. Kubický interpolační splajn. 3. Vyhlazování. Polynomy. 4. Trigonometrické polynomy. Diskrétní Fourierova transformace. 5. Rychlá Fourierova transformace. 6. Numerické derivování. 7. Numerická intergrace. 8. Rombergova a Gaussova kvasratura. 9. Řešení transcendentních rovnic. 10. Minimalizace funkcí jedné proměnné. 11. Vícerozměrná minimalizace. 12. Řešení obyčejných diferenciálních rovnic. 13. Řešení parciálních diferenciálních rovnic.
- Literature
- PANG, Tao. An introduction to computational physics. 2nd ed. Cambridge: Cambridge University Press, 2006, xv, 385. ISBN 0521825695. info
- ATKINSON, Kendall E. Elementary numerical analysis. 2nd ed. New York: John Wiley & Sons, 1993, xiii, 425. ISBN 0471600105. info
- CELÝ, Jan. Řešení fyzikálních úloh na mikropočítačích. 1. vyd. Brno: Rektorát Masarykovy university, 1990, 108 s. ISBN 8021001267. info
- VITÁSEK, Emil. Numerické metody. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1987, 512 s. URL info
- MÍKA, Stanislav. Numerické metody algebry. 2. vyd. Praha: SNTL - Nakladatelství technické literatury, 1985, 169 s. URL info
- PŘIKRYL, Petr. Numerické metody matematické analýzy. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1985, 187 s. URL info
- CELÝ, Jan. Programové moduly pro fyzikální výpočty. 1. vyd. Brno: Rektorát UJEP, 1985, 99 s. info
- RALSTON, Anthony. Základy numerické matematiky. Translated by Milan Práger - Emil Vitásek. České vyd. 2. Praha: Academia, 1978, 635 s. info
- Language of instruction
- Czech
- Further Comments
- The course is taught annually.
F6150 Advanced numerical methods
Faculty of ScienceSpring 2006
- Extent and Intensity
- 2/1/0. 2 credit(s) (fasci plus compl plus > 4). Type of Completion: graded credit.
- Teacher(s)
- doc. RNDr. Jan Celý, CSc. (lecturer)
doc. RNDr. Jan Celý, CSc. (seminar tutor) - Guaranteed by
- prof. RNDr. Josef Humlíček, CSc.
Department of Condensed Matter Physics – Physics Section – Faculty of Science
Contact Person: prof. RNDr. Josef Humlíček, CSc. - Timetable
- Fri 10:00–11:50 Fs1 6/1017, Fri 12:00–12:50 Fs1 6/1017
- Prerequisites (in Czech)
- F5330 Basic numerical methods
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Biophysics (programme PřF, M-FY)
- Physics (programme PřF, B-FY)
- Physics (programme PřF, M-FY)
- Physics (programme PřF, N-FY)
- Course objectives
- 1. Interpolation. Polynomials. 2. Cubic interpolation spline. 3. Smoothing. Polynomials. 4. Trigonometric polynomials. Discrete Fourier transform. 5. Fast Fourier transform. 6. Numerical differentiation. 7. Numerical quadrature. 8. Romberg and Gauss quadrature. 9. Minimization of functions. 10. Multidimensional minimization. 11. Solving ordinary differential equations. 12. Solving partial differential equations.
- Syllabus (in Czech)
- 1. Interpolace funkcí. Polynomy. 2. Kubický interpolační splajn. 3. Vyhlazování. Polynomy. 4. Trigonometrické polynomy. Diskrétní Fourierova transformace. 5. Rychlá Fourierova transformace. 6. Numerické derivování. 7. Numerická intergrace. 8. Rombergova a Gaussova kvasratura. 9. Řešení transcendentních rovnic. 10. Minimalizace funkcí jedné proměnné. 11. Vícerozměrná minimalizace. 12. Řešení obyčejných diferenciálních rovnic. 13. Řešení parciálních diferenciálních rovnic.
- Literature
- ATKINSON, Kendall E. Elementary numerical analysis. 2nd ed. New York: John Wiley & Sons, 1993, xiii, 425. ISBN 0471600105. info
- CELÝ, Jan. Řešení fyzikálních úloh na mikropočítačích. 1. vyd. Brno: Rektorát Masarykovy university, 1990, 108 s. ISBN 8021001267. info
- VITÁSEK, Emil. Numerické metody. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1987, 512 s. URL info
- MÍKA, Stanislav. Numerické metody algebry. 2. vyd. Praha: SNTL - Nakladatelství technické literatury, 1985, 169 s. URL info
- PŘIKRYL, Petr. Numerické metody matematické analýzy. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1985, 187 s. URL info
- CELÝ, Jan. Programové moduly pro fyzikální výpočty. 1. vyd. Brno: Rektorát UJEP, 1985, 99 s. info
- RALSTON, Anthony. Základy numerické matematiky. Translated by Milan Práger - Emil Vitásek. České vyd. 2. Praha: Academia, 1978, 635 s. info
- Language of instruction
- Czech
- Further Comments
- The course is taught annually.
F6150 Advanced numerical methods
Faculty of ScienceSpring 2005
- Extent and Intensity
- 2/1/0. 2 credit(s) (fasci plus compl plus > 4). Type of Completion: graded credit.
- Teacher(s)
- doc. RNDr. Jan Celý, CSc. (lecturer)
doc. RNDr. Jan Celý, CSc. (seminar tutor) - Guaranteed by
- prof. RNDr. Josef Humlíček, CSc.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Contact Person: prof. RNDr. Josef Humlíček, CSc. - Timetable
- Thu 14:00–15:50 F23-204, Thu 16:00–16:50 F23-204
- Prerequisites (in Czech)
- F5330 Basic numerical methods
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Biophysics (programme PřF, M-FY)
- Physics (programme PřF, B-FY)
- Physics (programme PřF, M-FY)
- Physics (programme PřF, N-FY)
- Course objectives
- 1. Interpolation. Polynomials. 2. Cubic interpolation spline. 3. Smoothing. Polynomials. 4. Trigonometric polynomials. Discrete Fourier transform. 5. Fast Fourier transform. 6. Numerical differentiation. 7. Numerical quadrature. 8. Romberg and Gauss quadrature. 9. Minimization of functions. 10. Multidimensional minimization. 11. Solving ordinary differential equations. 12. Solving partial differential equations.
- Syllabus (in Czech)
- 1. Interpolace funkcí. Polynomy. 2. Kubický interpolační splajn. 3. Vyhlazování. Polynomy. 4. Trigonometrické polynomy. Diskrétní Fourierova transformace. 5. Rychlá Fourierova transformace. 6. Numerické derivování. 7. Numerická intergrace. 8. Rombergova a Gaussova kvasratura. 9. Řešení transcendentních rovnic. 10. Minimalizace funkcí jedné proměnné. 11. Vícerozměrná minimalizace. 12. Řešení obyčejných diferenciálních rovnic. 13. Řešení parciálních diferenciálních rovnic.
- Literature
- ATKINSON, Kendall E. Elementary numerical analysis. 2nd ed. New York: John Wiley & Sons, 1993, xiii, 425. ISBN 0471600105. info
- CELÝ, Jan. Řešení fyzikálních úloh na mikropočítačích. 1. vyd. Brno: Rektorát Masarykovy university, 1990, 108 s. ISBN 8021001267. info
- VITÁSEK, Emil. Numerické metody. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1987, 512 s. URL info
- MÍKA, Stanislav. Numerické metody algebry. 2. vyd. Praha: SNTL - Nakladatelství technické literatury, 1985, 169 s. URL info
- PŘIKRYL, Petr. Numerické metody matematické analýzy. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1985, 187 s. URL info
- CELÝ, Jan. Programové moduly pro fyzikální výpočty. 1. vyd. Brno: Rektorát UJEP, 1985, 99 s. info
- RALSTON, Anthony. Základy numerické matematiky. Translated by Milan Práger - Emil Vitásek. České vyd. 2. Praha: Academia, 1978, 635 s. info
- Language of instruction
- Czech
- Further Comments
- The course is taught annually.
F6150 Advanced numerical methods
Faculty of ScienceSpring 2004
- Extent and Intensity
- 2/1/0. 2 credit(s) (fasci plus compl plus > 4). Type of Completion: graded credit.
- Teacher(s)
- doc. RNDr. Jan Celý, CSc. (lecturer)
doc. RNDr. Jan Celý, CSc. (seminar tutor) - Guaranteed by
- prof. RNDr. Josef Humlíček, CSc.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Contact Person: prof. RNDr. Josef Humlíček, CSc. - Prerequisites (in Czech)
- F5330 Basic numerical methods
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Biophysics (programme PřF, M-FY)
- Physics (programme PřF, B-FY)
- Physics (programme PřF, M-FY)
- Physics (programme PřF, N-FY)
- Course objectives
- 1. Interpolation. Polynomials. 2. Cubic interpolation spline. 3. Smoothing. Polynomials. 4. Trigonometric polynomials. Discrete Fourier transform. 5. Fast Fourier transform. 6. Numerical differentiation. 7. Numerical quadrature. 8. Romberg and Gauss quadrature. 9. Minimization of functions. 10. Multidimensional minimization. 11. Solving ordinary differential equations. 12. Solving partial differential equations.
- Syllabus (in Czech)
- 1. Interpolace funkcí. Polynomy. 2. Kubický interpolační splajn. 3. Vyhlazování. Polynomy. 4. Trigonometrické polynomy. Diskrétní Fourierova transformace. 5. Rychlá Fourierova transformace. 6. Numerické derivování. 7. Numerická intergrace. 8. Rombergova a Gaussova kvasratura. 9. Řešení transcendentních rovnic. 10. Minimalizace funkcí jedné proměnné. 11. Vícerozměrná minimalizace. 12. Řešení obyčejných diferenciálních rovnic. 13. Řešení parciálních diferenciálních rovnic.
- Literature
- ATKINSON, Kendall E. Elementary numerical analysis. 2nd ed. New York: John Wiley & Sons, 1993, xiii, 425. ISBN 0471600105. info
- CELÝ, Jan. Řešení fyzikálních úloh na mikropočítačích. 1. vyd. Brno: Rektorát Masarykovy university, 1990, 108 s. ISBN 8021001267. info
- VITÁSEK, Emil. Numerické metody. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1987, 512 s. URL info
- MÍKA, Stanislav. Numerické metody algebry. 2. vyd. Praha: SNTL - Nakladatelství technické literatury, 1985, 169 s. URL info
- PŘIKRYL, Petr. Numerické metody matematické analýzy. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1985, 187 s. URL info
- CELÝ, Jan. Programové moduly pro fyzikální výpočty. 1. vyd. Brno: Rektorát UJEP, 1985, 99 s. info
- RALSTON, Anthony. Základy numerické matematiky. Translated by Milan Práger - Emil Vitásek. České vyd. 2. Praha: Academia, 1978, 635 s. info
- Language of instruction
- Czech
- Further Comments
- The course is taught annually.
The course is taught: every week.
F6150 Advanced numerical methods
Faculty of ScienceSpring 2003
- Extent and Intensity
- 2/1/0. 2 credit(s) (fasci plus compl plus > 4). Type of Completion: graded credit.
- Teacher(s)
- doc. RNDr. Jan Celý, CSc. (lecturer)
doc. RNDr. Jan Celý, CSc. (seminar tutor) - Guaranteed by
- prof. RNDr. Josef Humlíček, CSc.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Contact Person: prof. RNDr. Josef Humlíček, CSc. - Prerequisites (in Czech)
- F5330 Basic numerical methods
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Biophysics (programme PřF, M-FY)
- Physics (programme PřF, B-FY)
- Physics (programme PřF, M-FY)
- Physics (programme PřF, N-FY)
- Course objectives
- 1. Interpolation. Polynomials. 2. Cubic interpolation spline. 3. Smoothing. Polynomials. 4. Trigonometric polynomials. Discrete Fourier transform. 5. Fast Fourier transform. 6. Numerical differentiation. 7. Numerical quadrature. 8. Romberg and Gauss quadrature. 9. Minimization of functions. 10. Multidimensional minimization. 11. Solving ordinary differential equations. 12. Solving partial differential equations.
- Syllabus (in Czech)
- 1. Interpolace funkcí. Polynomy. 2. Kubický interpolační splajn. 3. Vyhlazování. Polynomy. 4. Trigonometrické polynomy. Diskrétní Fourierova transformace. 5. Rychlá Fourierova transformace. 6. Numerické derivování. 7. Numerická intergrace. 8. Rombergova a Gaussova kvasratura. 9. Řešení transcendentních rovnic. 10. Minimalizace funkcí jedné proměnné. 11. Vícerozměrná minimalizace. 12. Řešení obyčejných diferenciálních rovnic. 13. Řešení parciálních diferenciálních rovnic.
- Language of instruction
- Czech
- Further Comments
- The course is taught annually.
The course is taught: every week.
F6150 Advanced numerical methods
Faculty of ScienceSpring 2002
- Extent and Intensity
- 2/1/0. 3 credit(s). Type of Completion: graded credit.
- Teacher(s)
- prof. RNDr. Josef Humlíček, CSc. (lecturer)
prof. RNDr. Josef Humlíček, CSc. (seminar tutor) - Guaranteed by
- prof. RNDr. Josef Humlíček, CSc.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Contact Person: prof. RNDr. Josef Humlíček, CSc. - Prerequisites (in Czech)
- F5330 Basic numerical methods
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Biophysics (programme PřF, M-FY)
- Physics (programme PřF, B-FY)
- Physics (programme PřF, M-FY)
- Physics (programme PřF, N-FY)
- Course objectives
- 1. Interpolation. Polynomials. 2. Cubic interpolation spline. 3. Smoothing. Polynomials. 4. Trigonometric polynomials. Discrete Fourier transform. 5. Fast Fourier transform. 6. Numerical differentiation. 7. Numerical quadrature. 8. Romberg and Gauss quadrature. 9. Minimization of functions. 10. Multidimensional minimization. 11. Solving ordinary differential equations. 12. Solving partial differential equations.
- Language of instruction
- Czech
- Further Comments
- The course is taught annually.
The course is taught: every week.
F6150 Advanced numerical methods
Faculty of ScienceSpring 2001
- Extent and Intensity
- 2/1/0. 3 credit(s). Type of Completion: graded credit.
- Teacher(s)
- prof. RNDr. Josef Humlíček, CSc. (lecturer)
prof. RNDr. Josef Humlíček, CSc. (seminar tutor) - Guaranteed by
- prof. RNDr. Josef Humlíček, CSc.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Contact Person: prof. RNDr. Josef Humlíček, CSc. - Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Biophysics (programme PřF, M-FY)
- Physics (programme PřF, B-FY)
- Physics (programme PřF, M-FY)
- Physics (programme PřF, N-FY)
- Course objectives
- 1. Interpolation. Polynomials. 2. Cubic interpolation spline. 3. Smoothing. Polynomials. 4. Trigonometric polynomials. Discrete Fourier transform. 5. Fast Fourier transform. 6. Numerical differentiation. 7. Numerical quadrature. 8. Romberg and Gauss quadrature. 9. Minimization of functions. 10. Multidimensional minimization. 11. Solving ordinary differential equations. 12. Solving partial differential equations.
- Language of instruction
- Czech
- Further Comments
- The course is taught annually.
The course is taught: every week.
F6150 Advanced numerical methods
Faculty of ScienceSpring 2000
- Extent and Intensity
- 2/1/0. 3 credit(s). Type of Completion: graded credit.
- Teacher(s)
- prof. RNDr. Josef Humlíček, CSc. (lecturer)
prof. RNDr. Josef Humlíček, CSc. (seminar tutor) - Guaranteed by
- prof. RNDr. Josef Humlíček, CSc.
Department of Theoretical Physics and Astrophysics – Physics Section – Faculty of Science
Contact Person: prof. RNDr. Josef Humlíček, CSc. - Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Biophysics (programme PřF, M-FY)
- Physics (programme PřF, B-FY)
- Physics (programme PřF, M-FY)
- Physics (programme PřF, N-FY)
- Syllabus
- 1. Interpolation. Polynomials. 2. Cubic interpolation spline. 3. Smoothing. Polynomials. 4. Trigonometric polynomials. Discrete Fourier transform. 5. Fast Fourier transform. 6. Numerical differentiation. 7. Numerical quadrature. 8. Romberg and Gauss quadrature. 9. Minimization of functions. 10. Multidimensional minimization. 11. Solving ordinary differential equations. 12. Solving partial differential equations.
- Language of instruction
- Czech
- Further Comments
- The course is taught annually.
The course is taught: every week.
F6150 Advanced numerical methods
Faculty of Sciencespring 2012 - acreditation
The information about the term spring 2012 - acreditation is not made public
- Extent and Intensity
- 2/1/0. 3 credit(s) (plus extra credits for completion). Type of Completion: graded credit.
- Teacher(s)
- doc. RNDr. Jan Celý, CSc. (lecturer)
doc. RNDr. Jan Celý, CSc. (seminar tutor) - Guaranteed by
- prof. RNDr. Josef Humlíček, CSc.
Department of Condensed Matter Physics – Physics Section – Faculty of Science
Contact Person: prof. RNDr. Josef Humlíček, CSc.
Supplier department: Department of Condensed Matter Physics – Physics Section – Faculty of Science - Prerequisites (in Czech)
- F5330 Basic numerical methods
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Biophysics (programme PřF, M-FY)
- Physics (programme PřF, B-FY)
- Physics (programme PřF, M-FY)
- Physics (programme PřF, N-FY)
- Course objectives
- The main objective of the course is to provide the students with the ability to
- list and describe the lectured numerical methods
- apply these methods in particular modelling tasks - Syllabus
- 1. Polynomial interpolation and aproximation.
- 2. Cubic interpolation spline.
- 3. Data smoothing,smoothing spline.
- 4. Numerical differentiation.
- 5. Numerical quadrature: Newton-Cotes methods, Richardson extrapolation and Romberg quadrature, Gauss methods.
- 6. Minimization of functions.
- 7. Multidimensional optimization, nonlinear regression.
- 8. Initial-value problem for ordinary differential equations: Runge-Kutta methods, multistep methods. 9. Boundary-value problem for ordinary differential equations. 10. Introduction to numerical solution of partial differential equations: heat equation in 1D, Laplace problem in 2D.
- 11. Discrete Fourier transform, fast Fourier transform.
- Literature
- PŘIKRYL, Petr. Numerické metody matematické analýzy. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1985, 187 s. URL info
- ATKINSON, Kendall E. Elementary numerical analysis. 2nd ed. New York: John Wiley & Sons, 1993, xiii, 425. ISBN 0471600105. info
- MÍKA, Stanislav. Numerické metody algebry. 2. vyd. Praha: SNTL - Nakladatelství technické literatury, 1985, 169 s. URL info
- CELÝ, Jan. Řešení fyzikálních úloh na mikropočítačích. 1. vyd. Brno: Rektorát Masarykovy university, 1990, 108 s. ISBN 8021001267. info
- CELÝ, Jan. Programové moduly pro fyzikální výpočty. 1. vyd. Brno: Rektorát UJEP, 1985, 99 s. info
- RALSTON, Anthony. Základy numerické matematiky. Translated by Milan Práger - Emil Vitásek. České vyd. 2. Praha: Academia, 1978, 635 s. info
- VITÁSEK, Emil. Numerické metody. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1987, 512 s. URL info
- GIORDANO, Nicholas J. and Hisao NAKANISHI. Computational physics. 2nd ed. Upper Saddle River, NJ: Pearson Prentice Hall, 1997, xiii, 544. ISBN 0131469908. info
- PANG, Tao. An introduction to computational physics. 2nd ed. Cambridge: Cambridge University Press, 2006, xv, 385. ISBN 0521825695. info
- GOULD, Harvey, Jan TOBOCHNIK and Wolfgang CHRISTIAN. An introduction to computer simulation methods : applications to physical systems. 3rd ed. San Francisco: Pearson Addison Wesley, 2007, xviii, 796. ISBN 0805377581. info
- KOONIN, Steven E. and Dawn C. MEREDITH. Computational physics : Fortran version. Boulder, Colo.: Westview Press, 1990, 16, 639. ISBN 0201386232. info
- Teaching methods
- Lecture + individual work on PC.
- Assessment methods
- Demands for graded credit: oral examination of topics knowledge on lectured topics + presentation of sufficient results of individual work during the semester.
- Language of instruction
- Czech
- Further Comments
- The course is taught annually.
The course is taught: every week. - Teacher's information
- http://monoceros.physics.muni.cz/~jancely
F6150 Advanced numerical methods
Faculty of ScienceSpring 2011 - only for the accreditation
- Extent and Intensity
- 2/1/0. 3 credit(s) (plus extra credits for completion). Type of Completion: graded credit.
- Teacher(s)
- doc. RNDr. Jan Celý, CSc. (lecturer)
doc. RNDr. Jan Celý, CSc. (seminar tutor) - Guaranteed by
- prof. RNDr. Josef Humlíček, CSc.
Department of Condensed Matter Physics – Physics Section – Faculty of Science
Contact Person: prof. RNDr. Josef Humlíček, CSc. - Prerequisites (in Czech)
- F5330 Basic numerical methods
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Biophysics (programme PřF, M-FY)
- Physics (programme PřF, B-FY)
- Physics (programme PřF, M-FY)
- Physics (programme PřF, N-FY)
- Course objectives
- The main objective of the course is to provide the students with the ability to
- list and describe the lectured numerical methods
- apply these methods in particular modelling tasks - Syllabus
- 1. Polynomial interpolation and aproximation.
- 2. Cubic interpolation spline.
- 3. Data smoothing,smoothing spline.
- 4. Numerical differentiation.
- 5. Numerical quadrature: Newton-Cotes methods, Richardson extrapolation and Romberg quadrature, Gauss methods.
- 6. Minimization of functions.
- 7. Multidimensional optimization, nonlinear regression.
- 8. Initial-value problem for ordinary differential equations: Runge-Kutta methods, multistep methods. 9. Boundary-value problem for ordinary differential equations. 10. Introduction to numerical solution of partial differential equations: heat equation in 1D, Laplace problem in 2D.
- 11. Discrete Fourier transform, fast Fourier transform.
- Literature
- PŘIKRYL, Petr. Numerické metody matematické analýzy. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1985, 187 s. URL info
- ATKINSON, Kendall E. Elementary numerical analysis. 2nd ed. New York: John Wiley & Sons, 1993, xiii, 425. ISBN 0471600105. info
- MÍKA, Stanislav. Numerické metody algebry. 2. vyd. Praha: SNTL - Nakladatelství technické literatury, 1985, 169 s. URL info
- CELÝ, Jan. Řešení fyzikálních úloh na mikropočítačích. 1. vyd. Brno: Rektorát Masarykovy university, 1990, 108 s. ISBN 8021001267. info
- CELÝ, Jan. Programové moduly pro fyzikální výpočty. 1. vyd. Brno: Rektorát UJEP, 1985, 99 s. info
- RALSTON, Anthony. Základy numerické matematiky. Translated by Milan Práger - Emil Vitásek. České vyd. 2. Praha: Academia, 1978, 635 s. info
- VITÁSEK, Emil. Numerické metody. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1987, 512 s. URL info
- GIORDANO, Nicholas J. and Hisao NAKANISHI. Computational physics. 2nd ed. Upper Saddle River, NJ: Pearson Prentice Hall, 1997, xiii, 544. ISBN 0131469908. info
- PANG, Tao. An introduction to computational physics. 2nd ed. Cambridge: Cambridge University Press, 2006, xv, 385. ISBN 0521825695. info
- GOULD, Harvey, Jan TOBOCHNIK and Wolfgang CHRISTIAN. An introduction to computer simulation methods : applications to physical systems. 3rd ed. San Francisco: Pearson Addison Wesley, 2007, xviii, 796. ISBN 0805377581. info
- KOONIN, Steven E. and Dawn C. MEREDITH. Computational physics : Fortran version. Boulder, Colo.: Westview Press, 1990, 16, 639. ISBN 0201386232. info
- Teaching methods
- Lecture + individual work on PC.
- Assessment methods
- Demands for graded credit: oral examination of topics knowledge on lectured topics + presentation of sufficient results of individual work during the semester.
- Language of instruction
- Czech
- Further Comments
- The course is taught annually.
The course is taught: every week. - Teacher's information
- http://monoceros.physics.muni.cz/~jancely
F6150 Advanced numerical methods
Faculty of ScienceSpring 2008 - for the purpose of the accreditation
- Extent and Intensity
- 2/1/0. 3 credit(s) (fasci plus compl plus > 4). Type of Completion: graded credit.
- Teacher(s)
- doc. RNDr. Jan Celý, CSc. (lecturer)
doc. RNDr. Jan Celý, CSc. (seminar tutor) - Guaranteed by
- prof. RNDr. Josef Humlíček, CSc.
Department of Condensed Matter Physics – Physics Section – Faculty of Science
Contact Person: prof. RNDr. Josef Humlíček, CSc. - Prerequisites (in Czech)
- F5330 Basic numerical methods
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Biophysics (programme PřF, M-FY)
- Physics (programme PřF, B-FY)
- Physics (programme PřF, M-FY)
- Physics (programme PřF, N-FY)
- Course objectives
- 1. Interpolation. Polynomials. 2. Cubic interpolation spline. 3. Smoothing. Polynomials. 4. Trigonometric polynomials. Discrete Fourier transform. 5. Fast Fourier transform. 6. Numerical differentiation. 7. Numerical quadrature. 8. Romberg and Gauss quadrature. 9. Minimization of functions. 10. Multidimensional minimization. 11. Solving ordinary differential equations. 12. Solving partial differential equations.
- Syllabus (in Czech)
- 1. Interpolace funkcí. Polynomy. 2. Kubický interpolační splajn. 3. Vyhlazování. Polynomy. 4. Trigonometrické polynomy. Diskrétní Fourierova transformace. 5. Rychlá Fourierova transformace. 6. Numerické derivování. 7. Numerická intergrace. 8. Rombergova a Gaussova kvasratura. 9. Řešení transcendentních rovnic. 10. Minimalizace funkcí jedné proměnné. 11. Vícerozměrná minimalizace. 12. Řešení obyčejných diferenciálních rovnic. 13. Řešení parciálních diferenciálních rovnic.
- Literature
- PANG, Tao. An introduction to computational physics. 2nd ed. Cambridge: Cambridge University Press, 2006, xv, 385. ISBN 0521825695. info
- ATKINSON, Kendall E. Elementary numerical analysis. 2nd ed. New York: John Wiley & Sons, 1993, xiii, 425. ISBN 0471600105. info
- CELÝ, Jan. Řešení fyzikálních úloh na mikropočítačích. 1. vyd. Brno: Rektorát Masarykovy university, 1990, 108 s. ISBN 8021001267. info
- VITÁSEK, Emil. Numerické metody. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1987, 512 s. URL info
- MÍKA, Stanislav. Numerické metody algebry. 2. vyd. Praha: SNTL - Nakladatelství technické literatury, 1985, 169 s. URL info
- PŘIKRYL, Petr. Numerické metody matematické analýzy. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1985, 187 s. URL info
- CELÝ, Jan. Programové moduly pro fyzikální výpočty. 1. vyd. Brno: Rektorát UJEP, 1985, 99 s. info
- RALSTON, Anthony. Základy numerické matematiky. Translated by Milan Práger - Emil Vitásek. České vyd. 2. Praha: Academia, 1978, 635 s. info
- Language of instruction
- Czech
- Further Comments
- The course is taught annually.
The course is taught: every week.
- Enrolment Statistics (recent)