SubjectsSubjects(version: 850)
Course, academic year 2019/2020
   Login via CAS
Numerical Software 2 - NMNV404
Title in English: Numerický software 2
Guaranteed by: Department of Numerical Mathematics (32-KNM)
Faculty: Faculty of Mathematics and Physics
Actual: from 2016 to 2019
Semester: summer
E-Credits: 5
Hours per week, examination: summer s.:2/2 C+Ex [hours/week]
Capacity: unlimited
Min. number of students: unlimited
State of the course: taught
Language: Czech, English
Teaching methods: full-time
Guarantor: prof. RNDr. Vít Dolejší, Ph.D., DSc.
Class: M Mgr. MOD
M Mgr. MOD > Povinně volitelné
M Mgr. NVM
M Mgr. NVM > Povinné
Classification: Informatics > Software Applications
Mathematics > Numerical Analysis
Co-requisite : NMNV403
Incompatibility : NNUM019
Interchangeability : NNUM019
Annotation -
Last update: prof. RNDr. Vít Dolejší, Ph.D., DSc. (12.09.2013)
The aim of this lecture is to introduce an implementation of numerical methods for the solution of concrete problems with the aid of available software.
Course completion requirements -
Last update: doc. RNDr. Václav Kučera, Ph.D. (15.01.2019)

solution of the exercises given in the Lecture Notes

repport of the solution of the Main task(s)

Literature -
Last update: prof. RNDr. Vít Dolejší, Ph.D., DSc. (12.09.2013)

E. Hairer, S. P. Norsett, G. Wanner: Solving ordinary differential equations I, Nonstiff problems, Springer Verlag,

Springer Series in Computational Mathematics 8, 2000

G. E. Forsythe, M. A. Malcolm, C. B. Moler: Computer Methods for Mathematical Computations. Englewood Cliffs, NJ, Prentice-Hall l977

V. Dolejší: Anisotropic mesh adaptation, učební text MFF UK, 2004, elektronická verze, odkaz: http://www.karlin.mff.cuni.cz/~dolejsi/Vyuka/AMA.pdf

Requirements to the exam -
Last update: prof. RNDr. Vít Dolejší, Ph.D., DSc. (16.02.2018)

knowledge according sylabus, oral exam

Syllabus -
Last update: doc. RNDr. Václav Kučera, Ph.D. (09.12.2018)
  • adaptive algorithms and numericla solftware for ordinary differential equations
  • fast Fourier transformation
  • multigrid methods
  • software for the numerical solution of PDEs
  • mesh generation and adaptation
  • software for visualization of numerical results.

Practice: Use of free software for a solution of ordinary differential equations, creation of own software for the solution of an elliptical equation with the aid of finite element method and anisotropic mesh adaptation.

Entry requirements -
Last update: prof. RNDr. Vít Dolejší, Ph.D., DSc. (03.05.2018)

basic knowledge of numerical methods for the numerical integration and the solution of ordinary differential equations

 
Charles University | Information system of Charles University | http://www.cuni.cz/UKEN-329.html