COURSE SYLLABUS

Numerical Methods 7.5 Credits

Numeriska metoder
Second cycle, F7002R
Version
Course syllabus valid: Spring 2018 Sp 3 - Present
The version indicates the term and period for which this course syllabus is valid. The most recent version of the course syllabus is shown first.

 Education level Second cycle Grade scale G U 3 4 5 Subject Space and Atmospeheric Science Subject group (SCB) Space Technology

Entry requirements

F0007T Electromagnetic field theory and F0030T Continuum Mechanics. Or, in other words linear algebra,functions of several variables, ordinary and partial differential equations, probability theory, and fourier series. The course treats problem taken from mechanics, electrical circuit theory, electrostatics, thermodynamics, wave theory, fluid mechanics. Knowledge of Legendre and Bessel functions is desirable. Likewise knowledge of computer program MATLAB is desirable.

Selection

The selection is based on 20-285 credits

Course Aim

The student shall acquire knowledge about different numerical methods that are suitable for treatment or solution of common problems within different application areas of physics. The student shall acquire insight into the problems that may arise when using numerical methods. The student shall in that respect be able to value which solution method, e.g. choice of algorithm, that are suitable for solution of problems within the application areas that are covered by the course.

The student shall be able to apply different solution methods in order to calculate approximate solutions of problems in physics. The student shall be familiar with some computer program as means for numerical analysis and computations. This is shown by performed calculations, written computer code and choice of solution method.

The student shall be able to value the importance of the relationship between truncation errors, round-off errors, and calculation time. This is shown by choice of parameters for solutions.

Contents
Basics of scientific computing. The importance of truncation errors and round-off errors. Numerical methods for solving mathematical problems that frequently arise in physics, such as ordinary and partial differential equations, linear and non-linear system of equations, curve fit, spectral analysis, stochastic methods as Monte Carlo and wavelets. Numerical methods for analysis of data, such as data generated from spacecraft measurements, or from earthbound instruments. Furthermore some item are included that can differ from year to year, e.g. time series analysis.

Realization

Lectures. An important part of the course is assignments, where the students individually shall solve computational problems arising in physics using suitable programming languages such as Matlab.

Examination
Assignments of partly theoretical character and partly of modified or wholly written computer solutions. The results of the assignments are graded with 5, 4, 3 and Failed(U).

Remarks
Advanced level. Knowledge from this course is applicable in various following courses where physical problems are encountered that are not exactly solvable.

Examiner
Johnny Ejemalm

Transition terms
The course F7002R is equal to RYM010

Literature. Valid from Autumn 2007 Sp 1 (May change until 10 weeks before course start)
Alejandro L Garcia: Numerical Methods for Physics, 2 ed, Prentice Hall, Englewood Cliffs, N.J., 2000. ISBN-10: 0139067442. ISBN-13: 978-0139067440

Course offered by
Department of Computer Science, Electrical and Space Engineering

Items/credits