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
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Annotation -
Last update: PhDr. František Knobloch, CSc. (10.02.2007)
The finite difference metohod for the numerical solution of partial differential equations of various types.
Aim of the course -
Last update: T_KNM (16.05.2008)

The course gives students a knowledge of derivation and analysis of the finite difference method for various partial differential equations.
Literature - Czech
Last update: PhDr. František Knobloch, CSc. (10.02.2007)

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
Teaching methods -
Last update: T_KNM (16.05.2008)

Lectures and tutorials in a lecture hall.
Requirements to the exam -
Last update: T_KNM (16.05.2008)

Examination according to the syllabus.
Syllabus -
Last update: T_KNM (18.05.2008)

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.
Entry requirements -
Last update: T_KNM (16.05.2008)

There are no special entry requirements.