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Numerical Software 1 - NMNV403

Title:	Numerický software 1
Guaranteed by:	Department of Numerical Mathematics (32-KNM)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2023
Semester:	winter
E-Credits:	5
Hours per week, examination:	winter s.:2/2, C+Ex [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	taught
Language:	Czech, English
Teaching methods:	full-time
Additional information:	https://www2.karlin.mff.cuni.cz/~dolejsi/Vyuka/NS2018.html

Guarantor:	prof. RNDr. Vít Dolejší, Ph.D., DSc.
Teacher(s):	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
Incompatibility :	NNUM018
Interchangeability :	NNUM018
Is co-requisite for:	NMNV404
Is interchangeable with:	NNUM018

Opinion survey results Examination dates WS schedule Noticeboard

Annotation -

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.

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

Course completion requirements -

solution of the exercises given in the Lecture Notes
repport of the solution of the Main task(s)

Last update: Dolejší Vít, prof. RNDr., Ph.D., DSc. (06.10.2017)

Literature -

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

A. Quarteroni, R. Sacco, F. Saleri: Numerical mathematics, Springer-Verlag, Texts in Applied Mathematics 37, 2000.

V. Dolejší: Finite element methods: Implementations, učební text MFF UK, 2010, elektronická verze, odkaz: http://www.karlin.mff.cuni.cz/~dolejsi/Vyuka/FEM-implement.pdf

S. Brenner, R. L. Scott: The Mathematical Theory of Finite Element Methods, Spriger, New York, 1994

P. G. Ciarlet: The finite element method for elliptic problems. Studies in Mathematics and its Applications, Vol. 4. North-Holland Publishing Co., Amsterdam-New York-Oxford, 1978.

Webpage: https://www2.karlin.mff.cuni.cz/~dolejsi/Vyuka/NS2018.html

Last update: Dolejší Vít, prof. RNDr., Ph.D., DSc. (29.09.2022)

Teaching methods

The usual lectures and solving simple tasks during tutorials.

Last update: Dolejší Vít, prof. RNDr., Ph.D., DSc. (29.09.2022)

Requirements to the exam -

exam is a discussion about the solution of the Main task(s)

Last update: Dolejší Vít, prof. RNDr., Ph.D., DSc. (29.09.2022)

Syllabus -

Overview and production of numerical software, computer arithmetic, cache memory utilization in calculations, fundamentals of adaptive numerical methods, numerical quadrature, error estimation, adaptivity, numerical solution of ordinary differential equations, local error estimation, adaptive time step selection.

Last update: Dolejší Vít, prof. RNDr., Ph.D., DSc. (03.09.2020)

Entry requirements -

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

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