F8370 Present-day methods in physical modelling
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)
- Mgr. Dušan Hemzal, Ph.D. (lecturer)
prof. Mgr. Dominik Munzar, Dr. (lecturer)
Mgr. Filip Münz, PhD. (seminar tutor) - Guaranteed by
- prof. Mgr. Dominik Munzar, Dr.
Department of Condensed Matter Physics – Physics Section – Faculty of Science
Contact Person: Mgr. Dušan Hemzal, Ph.D.
Supplier department: Department of Condensed Matter Physics – Physics Section – Faculty of Science - Timetable
- Wed 9:00–10:50 Kontaktujte učitele
- Prerequisites
- basics of programming (possible to gain during the semester), presumably in either Python, Matlab, etc.
Suggested knowledge: F5330 Basic numerical methods, F4500 Python for physicists - 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, N-FY, specialization Aplikovaná biofyzika)
- Biophysics (programme PřF, N-FY, specialization Molekulární biofyzika)
- Condensed Matter 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 principles of up-to-date methods used in physical modelling
- analyse the selected problem and suggest suitable method for its solution
- apply both of the previous steps to formulate the problem within a chosen model and to obtain its solution. - Learning outcomes
- The students - know the theoretical basis of finite difference and finite element methods - are able to use these methods for the discretisation and solution of equations of mathematical physics
- Syllabus
- Finite differences: discretisation of the problem, approximation of the differential operator, border condition of the mixed type.
- Finite elements method: weak formulation of the variational problem, discretisation of the problem and approximation of the sought for function, n-dimensional generic element, approximation and shape function over the element, isoparametrical elements, momentum integrals of the element; mesh generators, border conditions and the damping zone method.
- Beyond FEM: finite differences in the time domain (FDTD), generic and adapted for elmag. field modelling; description of plane incident light on a layered periodic structures (RCWA)
- Literature
- Teaching methods
- lecture, seminars. individually appointed tasks within solution of one problem, selected by a student.
- Assessment methods
- Active participation during the class exercises (at most three absences are allowed without letter of apology).
During a group discussion on the particular programming tasks appointed the colloquium will be granted to those students who by showing the relevant knowledge on the course topics prove their projects functional. - Language of instruction
- Czech
- Further comments (probably available only in Czech)
- Study Materials
The course is taught annually. - Teacher's information
- http://www.physics.muni.cz/~hemzal/vyuka/vyuka.shtml
F8370 Present-day methods in physical modelling
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)
- Mgr. Dušan Hemzal, Ph.D. (lecturer)
prof. Mgr. Dominik Munzar, Dr. (lecturer)
Mgr. Filip Münz, PhD. (seminar tutor) - Guaranteed by
- prof. Mgr. Dominik Munzar, Dr.
Department of Condensed Matter Physics – Physics Section – Faculty of Science
Contact Person: Mgr. Dušan Hemzal, Ph.D.
Supplier department: Department of Condensed Matter Physics – Physics Section – Faculty of Science - Prerequisites
- basics of programming (possible to gain during the semester), presumably in either Matlab, fortran, C/C++, python.
Suggested knowledge: F5330 Basic numerical methods, F4500 Python for physicists - 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, N-FY, specialization Aplikovaná biofyzika)
- Biophysics (programme PřF, N-FY, specialization Molekulární biofyzika)
- Condensed Matter 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 principles of up-to-date methods used in physical modelling
- analyse the selected problem and suggest suitable method for its solution
- apply both of the previous steps to formulate the problem within a chosen model and to obtain its solution. - Learning outcomes
- The students - know the theoretical basis of finite difference and finite element methods - are able to use these methods for the discretisation and solution of equations of mathematical physics
- Syllabus
- Finite differences: discretisation of the problem, approximation of the differential operator, border condition of the mixed type.
- Finite elements method: weak formulation of the variational problem, discretisation of the problem and approximation of the sought for function, n-dimensional generic element, approximation and shape function over the element, isoparametrical elements, momentum integrals of the element; mesh generators, border conditions and the damping zone method.
- Beyond FEM: finite differences in the time domain (FDTD), generic and adapted for elmag. field modelling; description of plane incident light on a layered periodic structures (RCWA)
- Literature
- Teaching methods
- lecture, seminars. individually appointed tasks within solution of one problem, selected by a student.
- Assessment methods
- Active participation during the class exercises (at most three absences are allowed without letter of apology).
During a group discussion on the particular programming tasks appointed the colloquium will be granted to those students who by showing the relevant knowledge on the course topics prove their projects functional. - Language of instruction
- Czech
- Further comments (probably available only in Czech)
- Study Materials
The course is taught annually.
The course is taught: every week. - Teacher's information
- http://www.physics.muni.cz/~hemzal/vyuka/vyuka.shtml
F8370 Present-day methods in physical modelling
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)
- Mgr. Dušan Hemzal, Ph.D. (lecturer)
Mgr. Filip Münz, PhD. (seminar tutor) - Guaranteed by
- prof. RNDr. Josef Humlíček, CSc.
Department of Condensed Matter Physics – Physics Section – Faculty of Science
Contact Person: Mgr. Dušan Hemzal, Ph.D.
Supplier department: Department of Condensed Matter Physics – Physics Section – Faculty of Science - Timetable
- Mon 18. 2. to Fri 17. 5. Wed 14:00–15:50 Kontaktujte učitele
- Timetable of Seminar Groups:
- Prerequisites
- F5330 Basic numerical methods
basics of programming (possible to gain during the semester), presumably in either Matlab, fortran, C/C++, python. - 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, N-FY, specialization Aplikovaná biofyzika)
- Biophysics (programme PřF, N-FY, specialization Molekulární biofyzika)
- Condensed Matter 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 principles of up-to-date methods used in physical modelling
- analyse the selected problem and suggest suitable method for its solution
- apply both of the previous steps to formulate the problem within a chosen model and to obtain its solution. - Learning outcomes
- The students - know the theoretical basis of finite difference and finite element methods - are able to use these methods for the discretisation and solution of equations of mathematical physics
- Syllabus
- Finite differences: discretisation of the problem, approximation of the differential operator, border condition of the mixed type.
- Finite elements method: weak formulation of the variational problem, discretisation of the problem and approximation of the sought for function, n-dimensional generic element, approximation and shape function over the element, isoparametrical elements, momentum integrals of the element; mesh generators, border conditions and the damping zone method.
- Beyond FEM: finite differences in the time domain (FDTD), generic and adapted for elmag. field modelling; description of plane incident light on a layered periodic structures (RCWA)
- Literature
- Teaching methods
- lecture, seminars. individually appointed tasks within solution of one problem, selected by a student.
- Assessment methods
- Active participation during the class exercises (at most three absences are allowed without letter of apology).
During a group discussion on the particular programming tasks appointed the colloquium will be granted to those students who by showing the relevant knowledge on the course topics prove their projects functional. - Language of instruction
- Czech
- Further comments (probably available only in Czech)
- The course is taught annually.
- Teacher's information
- http://www.physics.muni.cz/~hemzal/vyuka/vyuka.shtml
F8370 Present-day methods in physical modelling
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)
- Mgr. Dušan Hemzal, Ph.D. (lecturer)
Mgr. Filip Münz, PhD. (seminar tutor) - Guaranteed by
- prof. RNDr. Josef Humlíček, CSc.
Department of Condensed Matter Physics – Physics Section – Faculty of Science
Contact Person: Mgr. Dušan Hemzal, Ph.D.
Supplier department: Department of Condensed Matter Physics – Physics Section – Faculty of Science - Timetable
- Tue 10:00–10:50 Fs1 6/1017, Fri 10:00–11:50 F3,03015
- Prerequisites
- F5330 Basic numerical methods
basics of programming (possible to gain during the semester), presumably in either Matlab, fortran, C/C++, python. - 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, N-FY, specialization Aplikovaná biofyzika)
- Biophysics (programme PřF, N-FY, specialization Molekulární biofyzika)
- Condensed Matter 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 principles of up-to-date methods used in physical modelling
- analyse the selected problem and suggest suitable method for its solution
- apply both of the previous steps to formulate the problem within a chosen model and to obtain its solution. - Learning outcomes
- The students - know the theoretical basis of finite difference and finite element methods - are able to use these methods for the discretisation and solution of equations of mathematical physics
- Syllabus
- Finite differences: discretisation of the problem, approximation of the differential operator, border condition of the mixed type.
- Finite elements method: weak formulation of the variational problem, discretisation of the problem and approximation of the sought for function, n-dimensional generic element, approximation and shape function over the element, isoparametrical elements, momentum integrals of the element; mesh generators, border conditions and the damping zone method.
- Beyond FEM: finite differences in the time domain (FDTD), generic and adapted for elmag. field modelling; description of plane incident light on a layered periodic structures (RCWA)
- Literature
- Teaching methods
- lecture, seminars. individually appointed tasks within solution of one problem, selected by a student.
- Assessment methods
- Active participation during the class exercises (at most three absences are allowed without letter of apology).
During a group discussion on the particular programming tasks appointed the colloquium will be granted to those students who by showing the relevant knowledge on the course topics prove their projects functional. - Language of instruction
- Czech
- Further comments (probably available only in Czech)
- The course is taught annually.
- Teacher's information
- http://www.physics.muni.cz/~hemzal/vyuka/vyuka.shtml
F8370 Present-day methods in physical modelling
Faculty of ScienceSpring 2017
- Extent and Intensity
- 2/1/0. 3 credit(s) (plus extra credits for completion). Type of Completion: k (colloquium).
- Teacher(s)
- Mgr. Dušan Hemzal, Ph.D. (lecturer)
Mgr. Filip Münz, PhD. (seminar tutor) - Guaranteed by
- prof. RNDr. Josef Humlíček, CSc.
Department of Condensed Matter Physics – Physics Section – Faculty of Science
Contact Person: Mgr. Dušan Hemzal, Ph.D.
Supplier department: Department of Condensed Matter Physics – Physics Section – Faculty of Science - Timetable
- Mon 20. 2. to Mon 22. 5. Tue 16:00–17:50 F1 6/1014, Wed 16:00–16:50 F4,03017
- Prerequisites
- F5330 Basic numerical methods
basics of programming (possible to gain during the semester), presumably in either Matlab, fortran, C/C++, python. - 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, N-FY, specialization Aplikovaná biofyzika)
- Biophysics (programme PřF, N-FY, specialization Molekulární biofyzika)
- Condensed Matter 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 principles of up-to-date methods used in physical modelling
- analyse the selected problem and suggest suitable method for its solution
- apply both of the previous steps to formulate the problem within a chosen model and to obtain its solution. - Syllabus
- Finite differences: discretisation of the problem, approximation of the differential operator, border condition of the mixed type.
- Finite elements method: weak formulation of the variational problem, discretisation of the problem and approximation of the sought for function, n-dimensional generic element, approximation and shape function over the element, isoparametrical elements, momentum integrals of the element; mesh generators, border conditions and the damping zone method.
- Beyond FEM: finite differences in the time domain (FDTD), generic and adapted for elmag. field modelling; description of plane incident light on a layered periodic structures (RCWA)
- Literature
- Teaching methods
- lecture, seminars. individually appointed tasks within solution of one problem, selected by a student.
- Assessment methods
- Active participation during the class exercises (at most three absences are allowed without letter of apology).
During a group discussion on the particular programming tasks appointed the colloquium will be granted to those students who by showing the relevant knowledge on the course topics prove their projects functional. - Language of instruction
- Czech
- Further comments (probably available only in Czech)
- Study Materials
The course is taught annually. - Teacher's information
- http://www.physics.muni.cz/~hemzal/vyuka/vyuka.shtml
F8370 Present-day methods in physical modelling
Faculty of ScienceSpring 2016
- Extent and Intensity
- 2/1/0. 3 credit(s) (plus extra credits for completion). Type of Completion: k (colloquium).
- Teacher(s)
- Mgr. Dušan Hemzal, Ph.D. (lecturer)
Mgr. Filip Münz, PhD. (seminar tutor) - Guaranteed by
- prof. RNDr. Josef Humlíček, CSc.
Department of Condensed Matter Physics – Physics Section – Faculty of Science
Contact Person: Mgr. Dušan Hemzal, Ph.D.
Supplier department: Department of Condensed Matter Physics – Physics Section – Faculty of Science - Timetable
- Tue 11:00–11:50 F4,03017, Wed 14:00–15:50 Fs1 6/1017
- Prerequisites
- F5330 Basic numerical methods
basics of programming (possible to gain during the semester), presumably in either Matlab, fortran, C/C++, python. - 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, N-FY, specialization Aplikovaná biofyzika)
- Biophysics (programme PřF, N-FY, specialization Molekulární biofyzika)
- Condensed Matter 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 principles of up-to-date methods used in physical modelling
- analyse the selected problem and suggest suitable method for its solution
- apply both of the previous steps to formulate the problem within a chosen model and to obtain its solution. - Syllabus
- Finite differences: discretisation of the problem, approximation of the differential operator, border condition of the mixed type.
- Finite elements method: weak formulation of the variational problem, discretisation of the problem and approximation of the sought for function, n-dimensional generic element, approximation and shape function over the element, isoparametrical elements, momentum integrals of the element; mesh generators, border conditions and the damping zone method.
- Beyond FEM: finite differences in the time domain (FDTD), generic and adapted for elmag. field modelling; description of plane incident light on a layered periodic structures (RCWA)
- Literature
- Teaching methods
- lecture, seminars. individually appointed tasks within solution of one problem, selected by a student.
- Assessment methods
- Active participation during the class exercises (at most three absences are allowed without letter of apology).
During a group discussion on the particular programming tasks appointed the colloquium will be granted to those students who by showing the relevant knowledge on the course topics prove their projects functional. - Language of instruction
- Czech
- Further comments (probably available only in Czech)
- Study Materials
The course is taught annually. - Teacher's information
- http://www.physics.muni.cz/~hemzal/vyuka/vyuka.shtml
F8370 Present-day methods in physical modelling
Faculty of ScienceSpring 2015
- Extent and Intensity
- 2/1/0. 3 credit(s) (plus extra credits for completion). Type of Completion: k (colloquium).
- Teacher(s)
- Mgr. Dušan Hemzal, Ph.D. (lecturer)
Mgr. Filip Münz, PhD. (seminar tutor) - Guaranteed by
- prof. RNDr. Josef Humlíček, CSc.
Department of Condensed Matter Physics – Physics Section – Faculty of Science
Contact Person: Mgr. Dušan Hemzal, Ph.D.
Supplier department: Department of Condensed Matter Physics – Physics Section – Faculty of Science - Timetable
- Wed 14:00–15:50 F1 6/1014, Wed 16:00–16:50 Fs1 6/1017
- Prerequisites
- F5330 Basic numerical methods
basics of MATLAB (possible to gain during the semester) - 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, N-FY, specialization Aplikovaná biofyzika)
- Biophysics (programme PřF, N-FY, specialization Molekulární biofyzika)
- Condensed Matter 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 principles of up-to-date methods used in physical modelling
- analyse the selected problem and suggest suitable method for its solution
- apply both of the previous steps to formulate the problem within a chosen model and to obtain its solution. - Syllabus
- Finite differences: discretisation of the problem, approximation of the differential operator, border condition of the mixed type.
- Finite elements method: weak formulation of the variational problem, discretisation of the problem and approximation of the sought for function, n-dimensional generic element, approximation and shape function over the element, isoparametrical elements, momentum integrals of the element; mesh generators, border conditions and the damping zone method.
- Beyond FEM: finite differences in the time domain (FDTD), generic and adapted for elmag. field modelling; description of plane incident light on a layered periodic structures (RCWA)
- Literature
- Teaching methods
- lecture, seminars. individually appointed tasks within solution of one selected problem.
- Assessment methods
- Active participation during the class exercises (at most three absences are allowed without letter of apology).
During a group discussion on the particular programming tasks appointed the colloquium will be granted to those students who by showing the relevant knowledge on the course topics prove their projects functional. - Language of instruction
- Czech
- Further Comments
- Study Materials
The course is taught annually.
F8370 Present-day methods in physical modelling
Faculty of ScienceSpring 2014
- Extent and Intensity
- 2/1/0. 3 credit(s) (plus extra credits for completion). Type of Completion: k (colloquium).
- Teacher(s)
- Mgr. Dušan Hemzal, Ph.D. (lecturer)
Mgr. Filip Münz, PhD. (seminar tutor) - Guaranteed by
- prof. RNDr. Josef Humlíček, CSc.
Department of Condensed Matter Physics – Physics Section – Faculty of Science
Contact Person: Mgr. Dušan Hemzal, Ph.D.
Supplier department: Department of Condensed Matter Physics – Physics Section – Faculty of Science - Prerequisites
- F5330 Basic numerical methods
basics of MATLAB (possible to gain during the semester) - 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, N-FY, specialization Aplikovaná biofyzika)
- Biophysics (programme PřF, N-FY, specialization Molekulární biofyzika)
- Condensed Matter 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 principles of up-to-date methods used in physical modelling
- analyse the selected problem and suggest suitable method for its solution
- apply both of the previous steps to formulate the problem within a chosen model and to obtain its solution. - Syllabus
- Finite differences: discretisation of the problem, approximation of the differential operator, border condition of the mixed type.
- Finite elements method: weak formulation of the variational problem, discretisation of the problem and approximation of the sought for function, n-dimensional generic element, approximation and shape function over the element, isoparametrical elements, momentum integrals of the element; mesh generators, border conditions and the damping zone method.
- Beyond FEM: finite differences in the time domain (FDTD), generic and adapted for elmag. field modelling; description of plane incident light on a layered periodic structures (RCWA)
- Literature
- Teaching methods
- lecture, seminars. individually appointed tasks within solution of one selected problem.
- Assessment methods
- Active participation during the class exercises (at most three absences are allowed without letter of apology).
During a group discussion on the particular programming tasks appointed the colloquium will be granted to those students who by showing the relevant knowledge on the course topics prove their projects functional. - Language of instruction
- Czech
- Further Comments
- The course is taught annually.
The course is taught: every week.
F8370 Present-day methods in physical modelling
Faculty of ScienceSpring 2013
- Extent and Intensity
- 2/1/0. 3 credit(s) (plus extra credits for completion). Type of Completion: k (colloquium).
- Teacher(s)
- Mgr. Dušan Hemzal, Ph.D. (lecturer)
Mgr. Filip Münz, PhD. (seminar tutor) - Guaranteed by
- prof. RNDr. Josef Humlíček, CSc.
Department of Condensed Matter Physics – Physics Section – Faculty of Science
Contact Person: Mgr. Dušan Hemzal, Ph.D.
Supplier department: Department of Condensed Matter Physics – Physics Section – Faculty of Science - Prerequisites
- F5330 Basic numerical methods
basics of MATLAB (possibly to gain during the semester) - 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, N-FY, specialization Aplikovaná biofyzika)
- Biophysics (programme PřF, N-FY, specialization Molekulární biofyzika)
- Condensed Matter Physics (programme PřF, N-FY)
- Course objectives
- The course introduces students into the methods presently used in modelling - the knowledge on the physical and mathematical background of these methods is inevitable for their succesfull implementation both individually as well as when using a third-party software.
Particularly, basics of selected topics from modern methods of numerical solution of the direct partial differential equation problem with initial/border conditions are taught.
The necessary theory is lectured simultaneously with application to basic type of examples (including hydrodynamics, Laplace equation, heat transfer equation and equation of diffusion, wave equation and its harmonic subcase (Helmholtz equation); Schrodinger equation, etc.).
The main objective of the course is to provide the students with the ability to
- list and describe principles of up-to-date methods used in physical modelling
- analyse the selected problem and suggest suitable method for its solution
- apply both of the previous steps to formulate the problem within a chosen model and to obtain its solution.
Also, the available software packages for particular types of problems are introduced. - Syllabus
- Finite differences: discretisation ofthe problem, approximation of the differential operator, border condition of the mixed type.
- Finite elements method: weak formulation of the variational problem, discretisation of the problem and approximation of the sought for function, n-dimensional generic element, approximation and shape function over the element, isoparametrical elements, momentum integrals of the element; mesh generators, border conditions and the damping zone method.
- Beyond FEM: finite differences in the time domain (FDTD), generic and adapted for elmag. field modelling; description of plane incident light on a layered periodic structures (RCWA)
- Literature
- Teaching methods
- lecture, seminars. individually appointed tasks within solution of selected problem.
- Assessment methods
- Active participation during the class exercises (at most three absences are allowed without letter of apology).
During a group discussion on the particular programming tasks appointed the colloquium will be granted to those students who by showing the relevant knowledge on the course topics prove their projects functional. - Language of instruction
- Czech
- Further Comments
- Study Materials
The course is taught annually.
The course is taught: every week.
F8370 Present-day methods in physical modelling
Faculty of ScienceSpring 2012
- Extent and Intensity
- 2/1/0. 3 credit(s) (plus extra credits for completion). Type of Completion: k (colloquium).
- Teacher(s)
- Mgr. Dušan Hemzal, Ph.D. (lecturer)
Mgr. Filip Münz, PhD. (seminar tutor) - Guaranteed by
- prof. RNDr. Josef Humlíček, CSc.
Department of Condensed Matter Physics – Physics Section – Faculty of Science
Contact Person: Mgr. Dušan Hemzal, Ph.D.
Supplier department: Department of Condensed Matter Physics – Physics Section – Faculty of Science - Timetable
- Tue 12:00–12:50 Fs1 6/1017
- Prerequisites
- the knowledge of the basic numerical methods (e.g. at the level up to and including F6150)
basics of MATLAB (possibly to gain during the semester) - 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
- there are 6 fields of study the course is directly associated with, display
- Course objectives
- The course is primarily intended for those students of the Master degree and/or doctoral degree programmes who consider future involvement in modelling in physics, both in academic and commercial domain.
The course introduces students into the methods presently used in modelling; the knowledge on the physical and mathematical background of these methods is inevitable for their succesfull implementation both individually as well as when using a third-party software.
Particularly, basics of selected topics from modern methods of numerical solution of the direct differential equation problem with initial/border conditions are taught as well as a selection from advanced topics in experimental data processing.
The necessary theory is lectured simultaneously with application to basic type of examples (including hydrodynamics, Laplace equation, heat transfer equation and equation of diffusion, wave equation and its harmonic subcase (Helmholtz equation); Schrodinger equation).
The main objective of the course is to provide the students with the ability to
- list and describe principles of up-to-date methods used in physical modelling
- analyse the selected problem and suggest suitable method for its solution
- apply both of the previous steps to formulate the problem within a chosen model and to obtain its solution.
Also, the available software packages for particular types of problems are introduced. - Syllabus
- Finite differences: discretisation ofthe problem, approximation of the differential operator, border condition of the mixed type.
- Finite elements method: weak formulation of the variational problem, discretisation of the problem and approximation of the sought for function, n-dimensional generic element, approximation and shape function over the element, isoparametrical elements, momentum integrals of the element; mesh generators, border conditions and the damping zone method.
- Beyond FEM: finite differences in the time domain (FDTD), generic and adapted for elmag. field modelling.
- Advanced data manipulation: wavelet transformation and noise reduction, cosine transformation.
- Specialised minimalisation: function of many variables, problem of many extremes, Ritz variation.
- Genetic algorithms: chromozome and genotype, crossover (single-point, multiple-point, cyclic), mutation, star schemes, effectifisation (Grey coding).
- Forward neural networks with backpropagation learning and mutually connected NN: function of several variables and the notion of neuron (configuration space splitting), perceptron and its activation, neural network (forward, Hopfield), learning (backpropagation), network optimalisation (initial guesses, GA).
- Literature
- MITCHELL, A.R. and D.F. GRIFFITS. The Finite Difference Method in Partial Differential Equations. 1980: Jonh Willey & Sons Ltd., 1980. info
- KOLÁŘ, V. FEM: principy a praxe metody konečných prvků. Computer Press, 1997. info
- DĚDEK, L. and J. DĚDKOVÁ. Elektromagnetismus. VUTIUM, 1998. info
- Číslicová filtrace, analýza a restaurace signálů. Edited by Jiří Jan. 2. uprav. a rozš. vyd. Brno: VUTIUM, 2002, 427 s. ISBN 8021415584. info
- ZELINKA, Ivan. Umělá inteligence, aneb, Úvod do neuronových sítí, evolučních algoritmů--. Vyd. 2. Ve Zlíně: Univerzita Tomáše Bati, 2005, 127 s. ISBN 8073182777. info
- Teaching methods
- lecture, seminars. individually appointed tasks within solution of selected problem.
- Assessment methods
- Active participation during the class exercises (at most three absences are allowed without letter of apology).
During a group discussion on the particular programming tasks appointed the colloquium will be granted to those students who by showing the relevant knowledge on the course topics prove their projects functional. - Language of instruction
- Czech
- Further Comments
- Study Materials
The course is taught annually.
F8370 Present-day methods in physical modelling
Faculty of ScienceSpring 2011
- Extent and Intensity
- 2/1/0. 3 credit(s) (plus extra credits for completion). Type of Completion: k (colloquium).
- Teacher(s)
- Mgr. Dušan Hemzal, Ph.D. (lecturer)
Mgr. Filip Münz, PhD. (seminar tutor) - Guaranteed by
- prof. RNDr. Josef Humlíček, CSc.
Department of Condensed Matter Physics – Physics Section – Faculty of Science
Contact Person: Mgr. Dušan Hemzal, Ph.D. - Prerequisites
- the knowledge of the basic numerical methods (e.g. at the level up to and including F6150)
basics of MATLAB (possibly to gain during the semester) - 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
- there are 6 fields of study the course is directly associated with, display
- Course objectives
- The course is primarily intended for those students of the Master degree and/or doctoral degree programmes who consider future involvement in modelling in physics, both in academic and commercial domain.
The course introduces students into the methods presently used in modelling; the knowledge on the physical and mathematical background of these methods is inevitable for their succesfull implementation both individually as well as when using a third-party software.
Particularly, basics of selected topics from modern methods of numerical solution of the direct differential equation problem with initial/border conditions are taught as well as a selection from advanced topics in experimental data processing.
The necessary theory is lectured simultaneously with application to basic type of examples (including hydrodynamics, Laplace equation, heat transfer equation and equation of diffusion, wave equation and its harmonic subcase (Helmholtz equation); the equilibrium lattice parameters, phonons; eikonal equation).
The main objective of the course is to provide the students with the ability to
- list and describe principles of up-to-date methods used in physical modelling
- analyse the selected problem and suggest suitable method for its solution
- apply both of the previous steps to formulate the problem within a chosen model and to obtain its solution. - Syllabus
- Finite differences: discretisation ofthe problem, approximation of the differential operator, border condition of the mixed type.
- Finite elements method: weak formulation of the variational problem, discretisation of the problem and approximation of the sought for function, n-dimensional generic element, approximation and shape function over the element, isoparametrical elements, momentum integrals of the element; mesh generators, border conditions and the damping zone method.
- Beyond FEM: boundary element method and its combination with FEM using outer radial discretisation, finite differences in the time domain; basics of level set methods for Hamilton-Jacobi type equations: Fast Marching Algorithms.
- Advanced data manipulation: wavelet transformation and noise reduction, 2D Fourrier transformation in NMR, cosine transformation.
- Specialised minimalisation: function of many variables, problem of many extremes, Ritz variation.
- Genetic algorithms: chromozome and genotype, crossover (single-point, multiple-point, cyclic), mutation, star schemes, effectifisation (Grey coding).
- Forward neural networks with backpropagation learning and mutually connected NN: function of several variables and the notion of neuron (configuration space splitting), perceptron and its activation, neural network (forward, Hopfield), learning (backpropagation), network optimalisation (initial guesses, GA and simmulated annealing).
- Literature
- MITCHELL, A.R. and D.F. GRIFFITS. The Finite Difference Method in Partial Differential Equations. 1980: Jonh Willey & Sons Ltd., 1980. info
- KOLÁŘ, V. FEM: principy a praxe metody konečných prvků. Computer Press, 1997. info
- DĚDEK, L. and J. DĚDKOVÁ. Elektromagnetismus. VUTIUM, 1998. info
- Číslicová filtrace, analýza a restaurace signálů. Edited by Jiří Jan. 2. uprav. a rozš. vyd. Brno: VUTIUM, 2002, 427 s. ISBN 8021415584. info
- ZELINKA, Ivan. Umělá inteligence, aneb, Úvod do neuronových sítí, evolučních algoritmů--. Vyd. 2. Ve Zlíně: Univerzita Tomáše Bati, 2005, 127 s. ISBN 8073182777. info
- Teaching methods
- lecture, seminars. individually appointed tasks within solution of selected problem.
- Assessment methods
- Active participation during the class exercises (at most three absences are allowed without letter of apology).
During a group discussion on the particular programming tasks appointed the colloquium will be granted to those students who by showing the relevant knowledge on the course topics prove their projects functional. - Language of instruction
- Czech
- Further Comments
- The course is taught annually.
The course is taught: every week.
F8370 Present-day methods in physical modelling
Faculty of ScienceSpring 2010
- Extent and Intensity
- 2/1/0. 3 credit(s) (plus extra credits for completion). Type of Completion: k (colloquium).
- Teacher(s)
- Mgr. Dušan Hemzal, Ph.D. (lecturer)
Mgr. Filip Münz, PhD. (seminar tutor) - Guaranteed by
- prof. RNDr. Josef Humlíček, CSc.
Department of Condensed Matter Physics – Physics Section – Faculty of Science
Contact Person: Mgr. Dušan Hemzal, Ph.D. - Timetable
- Tue 17:00–18:50 F3,03015, Wed 8:00–8:50 F2 6/2012
- Prerequisites
- the knowledge of the basic numerical methods (e.g. at the level up to and including F6150)
basics of MATLAB (possibly to gain during the semester) - 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
- there are 6 fields of study the course is directly associated with, display
- Course objectives
- The course is primarily intended for those students of the Master degree and/or doctoral degree programmes who consider future involvement in modelling in physics, both in academic and commercial domain.
The course introduces students into the methods presently used in modelling; the knowledge on the physical and mathematical background of these methods is inevitable for their succesfull implementation both individually as well as when using a third-party software.
Particularly, basics of selected topics from modern methods of numerical solution of the direct differential equation problem with initial/border conditions are taught as well as a selection from advanced topics in experimental data processing.
The necessary theory is lectured simultaneously with application to basic type of examples (including hydrodynamics, Laplace equation, heat transfer equation and equation of diffusion, wave equation and its harmonic subcase (Helmholtz equation); the equilibrium lattice parameters, phonons; eikonal equation).
The main objective of the course is to provide the students with the ability to
- list and describe principles of up-to-date methods used in physical modelling
- analyse the selected problem and suggest suitable method for its solution
- apply both of the previous steps to formulate the problem within a chosen model and to obtain its solution. - Syllabus
- Finite differences: discretisation ofthe problem, approximation of the differential operator, border condition of the mixed type.
- Finite elements method: weak formulation of the variational problem, discretisation of the problem and approximation of the sought for function, n-dimensional generic element, approximation and shape function over the element, isoparametrical elements, momentum integrals of the element; mesh generators, border conditions and the damping zone method.
- Beyond FEM: boundary element method and its combination with FEM using outer radial discretisation, finite differences in the time domain; basics of level set methods for Hamilton-Jacobi type equations: Fast Marching Algorithms.
- Advanced data manipulation: wavelet transformation and noise reduction, 2D Fourrier transformation in NMR, cosine transformation.
- Specialised minimalisation: function of many variables, problem of many extremes, Ritz variation.
- Genetic algorithms: chromozome and genotype, crossover (single-point, multiple-point, cyclic), mutation, star schemes, effectifisation (Grey coding).
- Forward neural networks with backpropagation learning and mutually connected NN: function of several variables and the notion of neuron (configuration space splitting), perceptron and its activation, neural network (forward, Hopfield), learning (backpropagation), network optimalisation (initial guesses, GA and simmulated annealing).
- Literature
- MITCHELL, A.R. and D.F. GRIFFITS. The Finite Difference Method in Partial Differential Equations. 1980: Jonh Willey & Sons Ltd., 1980. info
- KOLÁŘ, V. FEM: principy a praxe metody konečných prvků. Computer Press, 1997. info
- DĚDEK, L. and J. DĚDKOVÁ. Elektromagnetismus. VUTIUM, 1998. info
- Číslicová filtrace, analýza a restaurace signálů. Edited by Jiří Jan. 2. uprav. a rozš. vyd. Brno: VUTIUM, 2002, 427 s. ISBN 8021415584. info
- ZELINKA, Ivan. Umělá inteligence, aneb, Úvod do neuronových sítí, evolučních algoritmů--. Vyd. 2. Ve Zlíně: Univerzita Tomáše Bati, 2005, 127 s. ISBN 8073182777. info
- Teaching methods
- lecture, seminars. individually appointed tasks within solution of selected problem.
- Assessment methods
- Active participation during the class exercises (at most three absences are allowed without letter of apology).
During a group discussion on the particular programming tasks appointed the colloquium will be granted to those students who by showing the relevant knowledge on the course topics prove their projects functional. - Language of instruction
- Czech
- Further Comments
- Study Materials
The course is taught annually.
F8370 Present-day methods in physical modelling
Faculty of ScienceSpring 2009
- Extent and Intensity
- 2/1/0. 3 credit(s) (plus extra credits for completion). Type of Completion: k (colloquium).
- Teacher(s)
- Mgr. Dušan Hemzal, Ph.D. (lecturer)
- Guaranteed by
- prof. RNDr. Josef Humlíček, CSc.
Department of Condensed Matter Physics – Physics Section – Faculty of Science
Contact Person: Mgr. Dušan Hemzal, Ph.D. - Timetable
- Mon 15:00–16:50 Fs1 6/1017, Mon 17:00–17:50 Fs1 6/1017
- Prerequisites
- the knowledge of the basic numerical methods (e.g. at the level up to and including F6150)
basics of MATLAB (possibly to gain during the semester) - 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
- there are 6 fields of study the course is directly associated with, display
- Course objectives
- The course is primarily intended for those students of the Master degree and/or doctoral degree programmes who consider future involvement in modelling in physics, both in academic and commercial domain.
Main objectives of the course can be summarized as follows: to introduce to students the methods presently used in modelling; to transfer to students the knowledge on the physical and mathematical background of these methods, which is inevitable for their succesfull implementation both individual as well as when using a third-party software.
Particularly, basics of selected topics from modern methods of numerical solution of the direct differential equation problem with initial/border conditions is taught as well as a selection from advanced topics in experimental data processing.
The necessary theory is lectured simultaneously with application to basic type of examples (including hydrodynamics, Laplace equation, heat transfer equation and equation of diffusion, wave equation and its harmonic subcase (Helmholtz equation); the equilibrium lattice parameters, phonons; eikonal equation).
Upon completion of the course the student should be able to choose the appropriate type of the model suitable for a particular problem, fully formulate the problem within this model and consequently solve the problem. - Syllabus
- Finite differences: discretisation ofthe problem, approximation of the differential operator, border condition of the mixed type.
- Finite elements method: weak formulation of the variational problem, discretisation of the problem and approximation of the sought for function, n-dimensional generic element, approximation and shape function over the element, isoparametrical elements, momentum integrals of the element; mesh generators, border conditions and the damping zone method.
- Beyond FEM: boundary element method and its combination with FEM using outer radial discretisation, finite differences in the time domain; basics of level set methods for Hamilton-Jacobi type equations: Fast Marching Algorithms.
- Advanced data manipulation: wavelet transformation and noise reduction, 2D Fourrier transformation in NMR, cosine transformation.
- Specialised minimalisation: function of many variables, problem of many extremes, Ritz variation.
- Genetic algorithms: chromozome and genotype, crossover (single-point, multiple-point, cyclic), mutation, star schemes, effectifisation (Grey coding).
- Forward neural networks with backpropagation learning and mutually connected NN: function of several variables and the notion of neuron (configuration space splitting), perceptron and its activation, neural network (forward, Hopfield), learning (backpropagation), network optimalisation (initial guesses, GA and simmulated annealing).
- Literature
- MITCHELL, A.R. and D.F. GRIFFITS. The Finite Difference Method in Partial Differential Equations. 1980: Jonh Willey & Sons Ltd., 1980. info
- KOLÁŘ, V. FEM: principy a praxe metody konečných prvků. Computer Press, 1997. info
- DĚDEK, L. and J. DĚDKOVÁ. Elektromagnetismus. VUTIUM, 1998. info
- Číslicová filtrace, analýza a restaurace signálů. Edited by Jiří Jan. 2. uprav. a rozš. vyd. Brno: VUTIUM, 2002, 427 s. ISBN 8021415584. info
- ZELINKA, Ivan. Umělá inteligence, aneb, Úvod do neuronových sítí, evolučních algoritmů--. Vyd. 2. Ve Zlíně: Univerzita Tomáše Bati, 2005, 127 s. ISBN 8073182777. info
- Assessment methods
- Active participation during the class exercises is required, at most three absences are allowed without letter of apology.
During a group discussion on the particular programming tasks appointed the colloquium will be granted to those students who by showing the relevant knowledge on the course topics prove their projects functional. - Language of instruction
- Czech
- Further Comments
- The course is taught annually.
F8370 Present-day methods in physical modelling
Faculty of ScienceSpring 2024
The course is not taught in Spring 2024
- Extent and Intensity
- 2/1/0. 3 credit(s) (plus extra credits for completion). Type of Completion: k (colloquium).
- Teacher(s)
- Mgr. Dušan Hemzal, Ph.D. (lecturer)
prof. Mgr. Dominik Munzar, Dr. (lecturer)
Mgr. Filip Münz, PhD. (seminar tutor) - Guaranteed by
- prof. Mgr. Dominik Munzar, Dr.
Department of Condensed Matter Physics – Physics Section – Faculty of Science
Contact Person: Mgr. Dušan Hemzal, Ph.D.
Supplier department: Department of Condensed Matter Physics – Physics Section – Faculty of Science - Prerequisites
- basics of programming (possible to gain during the semester), presumably in either Python, Matlab, etc.
Suggested knowledge: F5330 Basic numerical methods, F4500 Python for physicists - 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, N-FY, specialization Aplikovaná biofyzika)
- Biophysics (programme PřF, N-FY, specialization Molekulární biofyzika)
- Condensed Matter 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 principles of up-to-date methods used in physical modelling
- analyse the selected problem and suggest suitable method for its solution
- apply both of the previous steps to formulate the problem within a chosen model and to obtain its solution. - Learning outcomes
- The students - know the theoretical basis of finite difference and finite element methods - are able to use these methods for the discretisation and solution of equations of mathematical physics
- Syllabus
- Finite differences: discretisation of the problem, approximation of the differential operator, border condition of the mixed type.
- Finite elements method: weak formulation of the variational problem, discretisation of the problem and approximation of the sought for function, n-dimensional generic element, approximation and shape function over the element, isoparametrical elements, momentum integrals of the element; mesh generators, border conditions and the damping zone method.
- Beyond FEM: finite differences in the time domain (FDTD), generic and adapted for elmag. field modelling; description of plane incident light on a layered periodic structures (RCWA)
- Literature
- Teaching methods
- lecture, seminars. individually appointed tasks within solution of one problem, selected by a student.
- Assessment methods
- Active participation during the class exercises (at most three absences are allowed without letter of apology).
During a group discussion on the particular programming tasks appointed the colloquium will be granted to those students who by showing the relevant knowledge on the course topics prove their projects functional. - Language of instruction
- Czech
- Further comments (probably available only in Czech)
- Study Materials
The course is taught annually.
The course is taught: every week. - Teacher's information
- http://www.physics.muni.cz/~hemzal/vyuka/vyuka.shtml
F8370 Present-day methods in physical modelling
Faculty of ScienceSpring 2025
The course is not taught in Spring 2025
- Extent and Intensity
- 2/1/0. 3 credit(s) (plus extra credits for completion). Type of Completion: k (colloquium).
- Teacher(s)
- Mgr. Dušan Hemzal, Ph.D. (lecturer)
prof. Mgr. Dominik Munzar, Dr. (lecturer)
Mgr. Filip Münz, PhD. (seminar tutor) - Guaranteed by
- prof. Mgr. Dominik Munzar, Dr.
Department of Condensed Matter Physics – Physics Section – Faculty of Science
Contact Person: Mgr. Dušan Hemzal, Ph.D.
Supplier department: Department of Condensed Matter Physics – Physics Section – Faculty of Science - Prerequisites
- basics of programming (possible to gain during the semester), presumably in either Python, Matlab, etc.
Suggested knowledge: F5330 Basic numerical methods, F4500 Python for physicists - 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, N-FY, specialization Aplikovaná biofyzika)
- Biophysics (programme PřF, N-FY, specialization Molekulární biofyzika)
- Condensed Matter 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 principles of up-to-date methods used in physical modelling
- analyse the selected problem and suggest suitable method for its solution
- apply both of the previous steps to formulate the problem within a chosen model and to obtain its solution. - Learning outcomes
- The students - know the theoretical basis of finite difference and finite element methods - are able to use these methods for the discretisation and solution of equations of mathematical physics
- Syllabus
- Finite differences: discretisation of the problem, approximation of the differential operator, border condition of the mixed type.
- Finite elements method: weak formulation of the variational problem, discretisation of the problem and approximation of the sought for function, n-dimensional generic element, approximation and shape function over the element, isoparametrical elements, momentum integrals of the element; mesh generators, border conditions and the damping zone method.
- Beyond FEM: finite differences in the time domain (FDTD), generic and adapted for elmag. field modelling; description of plane incident light on a layered periodic structures (RCWA)
- Literature
- Teaching methods
- lecture, seminars. individually appointed tasks within solution of one problem, selected by a student.
- Assessment methods
- Active participation during the class exercises (at most three absences are allowed without letter of apology).
During a group discussion on the particular programming tasks appointed the colloquium will be granted to those students who by showing the relevant knowledge on the course topics prove their projects functional. - Language of instruction
- Czech
- Further comments (probably available only in Czech)
- The course is taught annually.
The course is taught: every week. - Teacher's information
- http://www.physics.muni.cz/~hemzal/vyuka/vyuka.shtml
F8370 Present-day methods in physical modelling
Faculty of ScienceSpring 2022
The course is not taught in Spring 2022
- Extent and Intensity
- 2/1/0. 3 credit(s) (plus extra credits for completion). Type of Completion: k (colloquium).
- Teacher(s)
- Mgr. Dušan Hemzal, Ph.D. (lecturer)
prof. Mgr. Dominik Munzar, Dr. (lecturer)
Mgr. Filip Münz, PhD. (seminar tutor) - Guaranteed by
- prof. Mgr. Dominik Munzar, Dr.
Department of Condensed Matter Physics – Physics Section – Faculty of Science
Contact Person: Mgr. Dušan Hemzal, Ph.D.
Supplier department: Department of Condensed Matter Physics – Physics Section – Faculty of Science - Prerequisites
- basics of programming (possible to gain during the semester), presumably in either Matlab, fortran, C/C++, python.
Suggested knowledge: F5330 Basic numerical methods, F4500 Python for physicists - 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, N-FY, specialization Aplikovaná biofyzika)
- Biophysics (programme PřF, N-FY, specialization Molekulární biofyzika)
- Condensed Matter 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 principles of up-to-date methods used in physical modelling
- analyse the selected problem and suggest suitable method for its solution
- apply both of the previous steps to formulate the problem within a chosen model and to obtain its solution. - Learning outcomes
- The students - know the theoretical basis of finite difference and finite element methods - are able to use these methods for the discretisation and solution of equations of mathematical physics
- Syllabus
- Finite differences: discretisation of the problem, approximation of the differential operator, border condition of the mixed type.
- Finite elements method: weak formulation of the variational problem, discretisation of the problem and approximation of the sought for function, n-dimensional generic element, approximation and shape function over the element, isoparametrical elements, momentum integrals of the element; mesh generators, border conditions and the damping zone method.
- Beyond FEM: finite differences in the time domain (FDTD), generic and adapted for elmag. field modelling; description of plane incident light on a layered periodic structures (RCWA)
- Literature
- Teaching methods
- lecture, seminars. individually appointed tasks within solution of one problem, selected by a student.
- Assessment methods
- Active participation during the class exercises (at most three absences are allowed without letter of apology).
During a group discussion on the particular programming tasks appointed the colloquium will be granted to those students who by showing the relevant knowledge on the course topics prove their projects functional. - Language of instruction
- Czech
- Further comments (probably available only in Czech)
- The course is taught annually.
The course is taught: every week. - Teacher's information
- http://www.physics.muni.cz/~hemzal/vyuka/vyuka.shtml
F8370 Present-day methods in physical modelling
Faculty of ScienceSpring 2020
The course is not taught in Spring 2020
- Extent and Intensity
- 2/1/0. 3 credit(s) (plus extra credits for completion). Type of Completion: k (colloquium).
- Teacher(s)
- Mgr. Dušan Hemzal, Ph.D. (lecturer)
prof. Mgr. Dominik Munzar, Dr. (lecturer)
Mgr. Filip Münz, PhD. (seminar tutor) - Guaranteed by
- prof. Mgr. Dominik Munzar, Dr.
Department of Condensed Matter Physics – Physics Section – Faculty of Science
Contact Person: Mgr. Dušan Hemzal, Ph.D.
Supplier department: Department of Condensed Matter Physics – Physics Section – Faculty of Science - Timetable of Seminar Groups
- F8370/01: No timetable has been entered into IS.
- Prerequisites
- basics of programming (possible to gain during the semester), presumably in either Matlab, fortran, C/C++, python.
Suggested knowledge: F5330 Basic numerical methods, F4500 Python for physicists - 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, N-FY, specialization Aplikovaná biofyzika)
- Biophysics (programme PřF, N-FY, specialization Molekulární biofyzika)
- Condensed Matter 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 principles of up-to-date methods used in physical modelling
- analyse the selected problem and suggest suitable method for its solution
- apply both of the previous steps to formulate the problem within a chosen model and to obtain its solution. - Learning outcomes
- The students - know the theoretical basis of finite difference and finite element methods - are able to use these methods for the discretisation and solution of equations of mathematical physics
- Syllabus
- Finite differences: discretisation of the problem, approximation of the differential operator, border condition of the mixed type.
- Finite elements method: weak formulation of the variational problem, discretisation of the problem and approximation of the sought for function, n-dimensional generic element, approximation and shape function over the element, isoparametrical elements, momentum integrals of the element; mesh generators, border conditions and the damping zone method.
- Beyond FEM: finite differences in the time domain (FDTD), generic and adapted for elmag. field modelling; description of plane incident light on a layered periodic structures (RCWA)
- Literature
- Teaching methods
- lecture, seminars. individually appointed tasks within solution of one problem, selected by a student.
- Assessment methods
- Active participation during the class exercises (at most three absences are allowed without letter of apology).
During a group discussion on the particular programming tasks appointed the colloquium will be granted to those students who by showing the relevant knowledge on the course topics prove their projects functional. - Language of instruction
- Czech
- Further comments (probably available only in Czech)
- Study Materials
The course is taught annually. - Teacher's information
- http://www.physics.muni.cz/~hemzal/vyuka/vyuka.shtml
F8370 Present-day methods in physical modelling
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: k (colloquium).
- Teacher(s)
- Mgr. Dušan Hemzal, Ph.D. (lecturer)
Mgr. Filip Münz, PhD. (seminar tutor) - Guaranteed by
- prof. RNDr. Josef Humlíček, CSc.
Department of Condensed Matter Physics – Physics Section – Faculty of Science
Contact Person: Mgr. Dušan Hemzal, Ph.D.
Supplier department: Department of Condensed Matter Physics – Physics Section – Faculty of Science - Prerequisites
- the knowledge of the basic numerical methods (e.g. at the level up to and including F6150)
basics of MATLAB (possibly to gain during the semester) - 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
- there are 6 fields of study the course is directly associated with, display
- Course objectives
- The course is primarily intended for those students of the Master degree and/or doctoral degree programmes who consider future involvement in modelling in physics, both in academic and commercial domain.
The course introduces students into the methods presently used in modelling; the knowledge on the physical and mathematical background of these methods is inevitable for their succesfull implementation both individually as well as when using a third-party software.
Particularly, basics of selected topics from modern methods of numerical solution of the direct differential equation problem with initial/border conditions are taught as well as a selection from advanced topics in experimental data processing.
The necessary theory is lectured simultaneously with application to basic type of examples (including hydrodynamics, Laplace equation, heat transfer equation and equation of diffusion, wave equation and its harmonic subcase (Helmholtz equation); the equilibrium lattice parameters, phonons; eikonal equation).
The main objective of the course is to provide the students with the ability to
- list and describe principles of up-to-date methods used in physical modelling
- analyse the selected problem and suggest suitable method for its solution
- apply both of the previous steps to formulate the problem within a chosen model and to obtain its solution. - Syllabus
- Finite differences: discretisation ofthe problem, approximation of the differential operator, border condition of the mixed type.
- Finite elements method: weak formulation of the variational problem, discretisation of the problem and approximation of the sought for function, n-dimensional generic element, approximation and shape function over the element, isoparametrical elements, momentum integrals of the element; mesh generators, border conditions and the damping zone method.
- Beyond FEM: boundary element method and its combination with FEM using outer radial discretisation, finite differences in the time domain; basics of level set methods for Hamilton-Jacobi type equations: Fast Marching Algorithms.
- Advanced data manipulation: wavelet transformation and noise reduction, 2D Fourrier transformation in NMR, cosine transformation.
- Specialised minimalisation: function of many variables, problem of many extremes, Ritz variation.
- Genetic algorithms: chromozome and genotype, crossover (single-point, multiple-point, cyclic), mutation, star schemes, effectifisation (Grey coding).
- Forward neural networks with backpropagation learning and mutually connected NN: function of several variables and the notion of neuron (configuration space splitting), perceptron and its activation, neural network (forward, Hopfield), learning (backpropagation), network optimalisation (initial guesses, GA and simmulated annealing).
- Literature
- MITCHELL, A.R. and D.F. GRIFFITS. The Finite Difference Method in Partial Differential Equations. 1980: Jonh Willey & Sons Ltd., 1980. info
- KOLÁŘ, V. FEM: principy a praxe metody konečných prvků. Computer Press, 1997. info
- DĚDEK, L. and J. DĚDKOVÁ. Elektromagnetismus. VUTIUM, 1998. info
- Číslicová filtrace, analýza a restaurace signálů. Edited by Jiří Jan. 2. uprav. a rozš. vyd. Brno: VUTIUM, 2002, 427 s. ISBN 8021415584. info
- ZELINKA, Ivan. Umělá inteligence, aneb, Úvod do neuronových sítí, evolučních algoritmů--. Vyd. 2. Ve Zlíně: Univerzita Tomáše Bati, 2005, 127 s. ISBN 8073182777. info
- Teaching methods
- lecture, seminars. individually appointed tasks within solution of selected problem.
- Assessment methods
- Active participation during the class exercises (at most three absences are allowed without letter of apology).
During a group discussion on the particular programming tasks appointed the colloquium will be granted to those students who by showing the relevant knowledge on the course topics prove their projects functional. - Language of instruction
- Czech
- Further Comments
- The course is taught annually.
The course is taught: every week.
F8370 Present-day methods in physical modelling
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: k (colloquium).
- Teacher(s)
- Mgr. Dušan Hemzal, Ph.D. (lecturer)
Mgr. Filip Münz, PhD. (seminar tutor) - Guaranteed by
- prof. RNDr. Josef Humlíček, CSc.
Department of Condensed Matter Physics – Physics Section – Faculty of Science
Contact Person: Mgr. Dušan Hemzal, Ph.D. - Prerequisites
- the knowledge of the basic numerical methods (e.g. at the level up to and including F6150)
basics of MATLAB (possibly to gain during the semester) - 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
- there are 6 fields of study the course is directly associated with, display
- Course objectives
- The course is primarily intended for those students of the Master degree and/or doctoral degree programmes who consider future involvement in modelling in physics, both in academic and commercial domain.
The course introduces students into the methods presently used in modelling; the knowledge on the physical and mathematical background of these methods is inevitable for their succesfull implementation both individually as well as when using a third-party software.
Particularly, basics of selected topics from modern methods of numerical solution of the direct differential equation problem with initial/border conditions are taught as well as a selection from advanced topics in experimental data processing.
The necessary theory is lectured simultaneously with application to basic type of examples (including hydrodynamics, Laplace equation, heat transfer equation and equation of diffusion, wave equation and its harmonic subcase (Helmholtz equation); the equilibrium lattice parameters, phonons; eikonal equation).
The main objective of the course is to provide the students with the ability to
- list and describe principles of up-to-date methods used in physical modelling
- analyse the selected problem and suggest suitable method for its solution
- apply both of the previous steps to formulate the problem within a chosen model and to obtain its solution. - Syllabus
- Finite differences: discretisation ofthe problem, approximation of the differential operator, border condition of the mixed type.
- Finite elements method: weak formulation of the variational problem, discretisation of the problem and approximation of the sought for function, n-dimensional generic element, approximation and shape function over the element, isoparametrical elements, momentum integrals of the element; mesh generators, border conditions and the damping zone method.
- Beyond FEM: boundary element method and its combination with FEM using outer radial discretisation, finite differences in the time domain; basics of level set methods for Hamilton-Jacobi type equations: Fast Marching Algorithms.
- Advanced data manipulation: wavelet transformation and noise reduction, 2D Fourrier transformation in NMR, cosine transformation.
- Specialised minimalisation: function of many variables, problem of many extremes, Ritz variation.
- Genetic algorithms: chromozome and genotype, crossover (single-point, multiple-point, cyclic), mutation, star schemes, effectifisation (Grey coding).
- Forward neural networks with backpropagation learning and mutually connected NN: function of several variables and the notion of neuron (configuration space splitting), perceptron and its activation, neural network (forward, Hopfield), learning (backpropagation), network optimalisation (initial guesses, GA and simmulated annealing).
- Literature
- MITCHELL, A.R. and D.F. GRIFFITS. The Finite Difference Method in Partial Differential Equations. 1980: Jonh Willey & Sons Ltd., 1980. info
- KOLÁŘ, V. FEM: principy a praxe metody konečných prvků. Computer Press, 1997. info
- DĚDEK, L. and J. DĚDKOVÁ. Elektromagnetismus. VUTIUM, 1998. info
- Číslicová filtrace, analýza a restaurace signálů. Edited by Jiří Jan. 2. uprav. a rozš. vyd. Brno: VUTIUM, 2002, 427 s. ISBN 8021415584. info
- ZELINKA, Ivan. Umělá inteligence, aneb, Úvod do neuronových sítí, evolučních algoritmů--. Vyd. 2. Ve Zlíně: Univerzita Tomáše Bati, 2005, 127 s. ISBN 8073182777. info
- Teaching methods
- lecture, seminars. individually appointed tasks within solution of selected problem.
- Assessment methods
- Active participation during the class exercises (at most three absences are allowed without letter of apology).
During a group discussion on the particular programming tasks appointed the colloquium will be granted to those students who by showing the relevant knowledge on the course topics prove their projects functional. - Language of instruction
- Czech
- Further Comments
- The course is taught annually.
The course is taught: every week.
- Enrolment Statistics (recent)