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Course, academic year 2019/2020
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Numerical Software 1 - NMNV403
Title in English: Numerický software 1
Guaranteed by: Department of Numerical Mathematics (32-KNM)
Faculty: Faculty of Mathematics and Physics
Actual: from 2017 to 2019
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.
Course completion requirements -
Last update: prof. RNDr. Vít Dolejší, Ph.D., DSc. (06.10.2017)
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. (02.10.2017)

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.

Lecture notes: http://msekce.karlin.mff.cuni.cz/~dolejsi/Vyuka/NSnew.html

Requirements to the exam -
Last update: prof. RNDr. Vít Dolejší, Ph.D., DSc. (06.10.2017)
exam is a discussion about the solution of the Main task(s)

Syllabus -
Last update: doc. RNDr. Václav Kučera, Ph.D. (09.12.2018)
  • principles of numerical mathematics

  • computer arithmetics

  • structure of computers and its use in numerical software

  • packages BLAS and LAPACK

  • base of adaptive methods

  • automatic numerical integration, theory and practice.

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

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

 
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