04-10-0391-vu Numerical Methods for Partial Differential Equations

Instructors: Prof. Dr. rer. nat. Jan Giesselmann; Ph.D. Neelabja Chatterjee

Event type: Lecture & Exercise

Org-unit: Dept. 04 - Mathematics

Displayed in timetable as: Num Meth. PDE

Subject:

Crediting for:

Hours per week: 6

Language of instruction: Englisch

Min. | Max. participants: - | -

Course Contents:
Examples for partial differential equations in applications; Elliptic problems: weak formulation; analysis of elliptic variational problems; Galerkin approximation, finite element methods, error analysis; Parabolic problems: weak formulation, energy estimates, analysis; semi discretization via the Rothe's method and the method of lines;

Literature:
Braess: Finite Elemente: Theorie, schnelle Löser und Anwendungen in der Elastizitätstheorie, Springer, 2013.
Larsson, Thomee: Partial Differential Equations with Numerical Methods, Springer, 2003.
Großmann, Roos: Numerische Behandlung Partieller Differentialgleichungen, Teubner, 2005.

Preconditions:
recommended: Introduction to Numerical Analysis, Numerical Analysis of Ordinary Differential Equations or similar knowledge as taught in an engineering programme

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