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Fundamentals of Computer Physics II - no exercises - NEVF043

Title:	Základy počítačové fyziky II bez cvičení
Guaranteed by:	Department of Surface and Plasma Science (32-KFPP)
Faculty:	Faculty of Mathematics and Physics
Actual:	from 2011
Semester:	summer
E-Credits:	3
Hours per week, examination:	summer s.:2/0, 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
Is provided by:	NEVF041

Guarantor:	RNDr. Ivan Barvík, Ph.D.
Classification:	Physics > Surface Physics and P. of Ion.M.
Is incompatible with:	NEVF040, NEVF011, NEVF089, NEVF090
Is interchangeable with:	NEVF089, NEVF090, NEVF011

Opinion survey results Examination dates Schedule Noticeboard

Annotation -

Last update: T_KEVF (24.05.2002)

Main directions of computational physics. Hardware and software basis of computational physics. Computer modelling, computer graphics, image processing, integral transforms. Basic numerical methods. Introduction to mathematical statistics and theory of probability.

Aim of the course -

Last update: IBARVIK/MFF.CUNI.CZ (16.05.2008)

Students will learn basic numerical algorithms (see annotation and syllabus).

Teaching methods -

Last update: IBARVIK/MFF.CUNI.CZ (16.05.2008)

Lecture

Syllabus -

Last update: T_KEVF (16.05.2008)

Advanced algorithms of numerical mathematics

Numerical mathematics ? accuracy, errors, stability of algorithms.

Approximation ? interpolation, least square approximation, splines.

Numerical integration and differentiation ? integration with equally spaced basis,

Gaussian quadrature.

Solution of linear algebraic equations ? Gaussian and Gauss-Jordan elimination,

iterative methods.

Root finding and solution of nonlinear sets of equations

Integration of ordinary differential equations

Euler method and its modifications, Runge-Kutta methods, predictor-corrector methods.

Solution of partial differential equations

difference, relaxation and super-relaxation method.

Basics of theory of probability and mathematical statistics

random variables and their description, moments of random variables, selected random

variables, basic laws of the theory of probability and mathematical statistics, statistical testing of hypotheses.

Selected algorithms of classical computational physics