Numerical Methods for Astronomy students 1100-2A14

The course is focused on basic numerical methods used in mathematics, physics and astronomy for solving problems for which the strict solution does not exist or is too complicated or time consuming to obtain. During the course students are made aware of limitations set by the computer architecture and particularly by the representation of the floating point numbers as well as convergence problems in the iterative methods.

Program:
1. Errors in numerical computations
2. Equations solving methods
3. Approximation
4. Interpolation
5. Solving systems of linear equations
6. First order differential equations (iterative methods, Runge-Kutta methods)
7. Numerical integration (Gaussian and Newton-Cotes quadratures)
8. Monte Carlo methods
9. Minimalization of functions

Description by Michał Szymański, April 2007

Main fields of studies for MISMaP

astronomy

Mode

Classroom

Prerequisites (description)

(in Polish) Dla studentów studiów I stopnia astronomii. Wymagania: - zaliczenie I roku. - umiejętność programowania w wybranym języku (preferowane: Fortran, C, Python)

Course coordinators

Michał Szymański

Bibliography

1. Any book on numerical methods
2. For practical solutions: Press et al., "Numerical Recipes"

Additional information

Additional information (registration calendar, class conductors, localization and schedules of classes), might be available in the USOSweb system:

Description of 1100-2A14 in USOSweb