F6150 Advanced numerical methods

Faculty of Science
Spring 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
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.
The course is also listed under the following terms Spring 2008 - for the purpose of the accreditation, Spring 2011 - only for the accreditation, Spring 2000, Spring 2001, Spring 2002, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2008, Spring 2009, Spring 2010, Spring 2011, Spring 2012, spring 2012 - acreditation, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2017, spring 2018, Spring 2019, Spring 2020, Spring 2021, Spring 2022, Spring 2023, Spring 2024, Spring 2025.
  • Enrolment Statistics (Spring 2003, recent)
  • Permalink: https://is.muni.cz/course/sci/spring2003/F6150