Subjects

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Approximate and Numerical Methods 1 - NNUM001

Title:	Přibližné a numerické metody 1
Guaranteed by:	Department of Numerical Mathematics (32-KNM)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2018
Semester:	winter
E-Credits:	6
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:	cancelled
Language:	Czech
Teaching methods:	full-time
Teaching methods:	full-time
Additional information:	http://www.karlin.mff.cuni.cz/~knobloch/informace.html

Guarantor:	doc. Mgr. Petr Knobloch, Dr., DSc.
Classification:	Mathematics > Numerical Analysis
Interchangeability :	NMMA334
Is incompatible with:	NNUM033, NNUM034
In complex pre-requisite:	NMMA349, NMNM349

Opinion survey results Examination dates Schedule Noticeboard

Annotation -

The finite difference metohod for the numerical solution of partial differential equations of various types.

Last update: Knobloch František, PhDr., CSc. (10.02.2007)

Aim of the course -

The course gives students a knowledge of derivation and analysis of the finite difference method for various partial differential equations.

Last update: T_KNM (16.05.2008)

Literature - Czech

M. Feistauer: Diskrétní metody řešení diferenciálních rovnic. Skripta, SPN, Praha, l98l

K. W. Morton, D. F. Mayers: Numerical solution of partial differential equations, 2nd ed., Cambridge University Press, Cambridge, 2005

J. C. Strikwerda: Finite difference schemes and partial differential equations, 2nd ed., SIAM, Philadelphia, 2004

Last update: Knobloch František, PhDr., CSc. (10.02.2007)

Teaching methods -

Lectures and tutorials in a lecture hall.

Last update: T_KNM (16.05.2008)

Requirements to the exam -

Examination according to the syllabus.

Last update: T_KNM (16.05.2008)

Syllabus -

Finite difference method for elliptic problems, discretization, properties of the discrete problem, convergence.

Numerical solution of parabolic problems, discretization, explicit and implicit schemes, stability, convergence.

Numerical solution of hyperbolic problems, discretization of second order hyperbolic equations, explicit and implicit schemes, stability, discretization of first order conservation law systems, consistency, stability.

Basic stationary iterative methods for linear algebraic systems.

Last update: T_KNM (18.05.2008)

Entry requirements -

There are no special entry requirements.

Last update: T_KNM (16.05.2008)