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Course, academic year 2017/2018
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Numerical Software 1 - NMNV403
Czech title: Numerický software 1
Guaranteed by: Department of Numerical Mathematics (32-KNM)
Faculty: Faculty of Mathematics and Physics
Actual: from 2017
Semester: winter
E-Credits: 5
Hours per week, examination: winter 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
Incompatibility : NNUM018
Interchangeability : NNUM018
Is co-requisite for: NMNV404
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)

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.

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

Base of computer arithmetics.

Principles of adaptive methods.

Automatic numerical integration, theory and practice.

Base and principles of numerical software for partial differential equations, finite element methods.

Practice: creation of own software for a elementary tasks, use of free software for numerical integration.

 
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