Engelska Studiehandboken kurser
Dept of Mathematics
MAM089 Scientific Computations 6.0 ECTS credits
DENNA SIDA FINNS OCKSÅ PÅ SVENSKA
General information about studying at Luleå university
TIMEPERIOD:
LANGUAGE:
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/CREDITS
Computer Laborations 3.0ECTS
Written exam 3.0ECTS
COURSE LITTERATURE
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 : 97-09-25
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