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Course, academic year 2017/2018
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Numerical Software 2 - NMNV404
Czech title: Numerický software 2
Guaranteed by: Department of Numerical Mathematics (32-KNM)
Faculty: Faculty of Mathematics and Physics
Actual: from 2016
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.
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

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

Automatic integration of ordinarz differential equations, types of numerical methods, control of accuracy.

Code RKF45, boundary value problems, adaptive choice of time step.

Algorithm and software for a numerical solution of linear algebraic systems.

Mesh generation and adaptation for numerical solution of partial differential equations.

Available mathematical software, typical asks of numerical analysis.

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.

 
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