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Applications of Multilevel Methods - NNUM084

Title:	Aplikace víceúrovňových metod
Guaranteed by:	Department of Numerical Mathematics (32-KNM)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2014 to 2017
Semester:	winter
E-Credits:	3
Hours per week, examination:	winter s.:2/0, Ex [HT]
Capacity:	unlimited
Min. number of students:	unlimited
4EU+:	no
Virtual mobility / capacity:	no
State of the course:	not taught
Language:	Czech
Teaching methods:	full-time
Teaching methods:	full-time

Guarantor:	prof. RNDr. Ivo Marek, DrSc. doc. RNDr. Petr Mayer, Dr.
Class:	DS, vědecko - technické výpočty
Classification:	Mathematics > Numerical Analysis

Opinion survey results Examination dates Schedule Noticeboard

Annotation -

Last update: T_KNM (15.01.2007)

The course is devoted to solving systems of linear algebraic equations arising from discretization of second order PDE. The main emphasis is given to multigrid method and Schwarz domain decomposition method with coarse space. Some results for hierarchical basis and cascadic multigrid method are explained.

Aim of the course -

Last update: T_KNM (16.05.2008)

The course gives students a knowledge of different variants of multi-level methods.

Literature - Czech

Last update: T_KNM (17.05.2008)

W. Hackbusch: Multigrid Methods. Springer Verlag, Berlin-Heidelberg-New York, l988

W. Hackbusch, U. Trottenberg (eds.): Multigrid Methods, Lecture Notes in Mathematics, Vol. 96O, Springer Verlag Berlin-Heidelberg-New York, l982

P. Mayer: Víceúrovňové metody. Disertace, MFF UK, l995

Teaching methods -

Last update: T_KNM (16.05.2008)

Lectures in a lecture hall.

Requirements to the exam -

Last update: T_KNM (16.05.2008)

Student evaluation is based on examination only.

Syllabus -

Last update: T_KNM (16.05.2008)

Numerical solution of systems of linear algebraic equations arising from discretization of second order PDEs.

Multigrid method and Schwarz domain decomposition method with coarse space.

Hierarchical basis.

Cascadic multigrid method.

Entry requirements -

Last update: T_KNM (16.05.2008)

Knowledge of basics of linear algebra.