Dept of Mathematics

MAM089 Scientific Computations 6.0 ECTS credits

DENNA SIDA FINNS OCKSÅ PÅ SVENSKA

General information about studying at Luleå University
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EXAMINER
Inge Söderqvist Univ lekt

PREREQUISITES
MAM080 or similar

COURSE AIM
The courase aims to give knowledge of numerical methods for approximation, partial differential equations (PDE), and optimisation. The course will give the ability to judge the strengths, weaknesses, and applicability of different methods. It will also give an orientation about research activities in the area.

CONTENTS
Approximation using Chebyshev polynomials, rational functions, splines and Fourier series. Numerical difference methods for solving elliptic, parabolic, and hyperbolic PDEs. Numerical methods for solving the algebraic eigenvalue problem. Iterative methods for solving sparse linear system of equations. Optimisation problems: formulation, classification, and properties. Simplex and Karmarkars methods for solving linear optimisation problems. Duality and relaxation. Basic methods for unconstrained nonlinear optimisation problems, including nonlinear least squares problems. Orientation about constrained problems, integer problems, and some other classes of optimisation problems.

TEACHING


EXAMINATION

COURSE GRADE SCALE: A-F

ITEMS AND CREDITS 
Computer Laborations                                        	3.0 ECTS
Written exam                                                	3.0 ECTS

COURSE LITERATURE
Gerald, Wheatley : Applied Numerical Analysis, fifth edition, 1994, Addison-Wesley. Gustafsson: Tillämpad Optimeringslära, 1993, Inst. för inf. beh. Chalmers. Råde, Westergren: Beta, Mathematics Handbook. Studentlitteratur.

REMARKS
Last modified 97-03-05
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