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Introduction to Numerical Methods for Partial Differential Equations

Course Coordinator
Dr. Jan Giesselmann
Time and place
Monday 11:30 - 13:00 and Wednesday 11:30 - 13:00 7.122
Practice sessions
Friday 14:00 - 15:30 7.122
Course link (Ilias)

Partial differential equations and their numerical approximation: Types of partial differential equations. Finite differences and finite elements in 2 and 3 dimensions. Discretisations of parabolic differential equations. Schemes for hyperbolic conservation laws in one spatial dimension.

Literature D. Braess: Finite Elemente.
S. Brenner, R.L. Scott: Mathematical theory of the finite element method.
C. Großmann, H.-G. Roos: Numerische Behandlung Partieller Differentialgleichungen.
C. Johnson: Numerical Solution of Partial Differential Equations by the Finite Element Method.
R. LeVeque: Numerical methods for conservation laws.
P. Knabner, L. Angermann: Numerical methods for Elliptic and Parabolic PDEs.
D. Kröner: Numerical Schemes for Conservation Laws.
H.R. Schwarz: Methode der Finiten Elemente.
V. Thomee: Galerkin Finite Element methods for parabolic problems.
Learning goals

The students understand fundamental concepts, algorithms and methods for solving partial differential equations.

They develop their abilities to construct, analyse and implement numerical methods for the efficient and precise solution of problems which are relevant for applications.

Curricula Mathematics B.Sc., Mathematicsk M.Sc., SimTech M.Sc.

Oral exam. Date: tba

Module assignment
34910 Einführung in die Numerik Partieller Differentialgleichungen