Numerical Methods for Partial Differential Equations
Lecturer
Lecturer: Prof. M. Grote
Assistant: Y. Gleichmann
Contents
- Numerical methods for partial differential equations (PDE)
- Finite-Difference method (FD), Finite-Element method (FEM)
- Convergence theory
- Error estimates
- Practical implementation
Prerequisites
- Linear Algebra
- Calculus
- (real) Analysis
- Introduction to Numerical Analysis
- at least one Programming language (preferably MATLAB)
Dates
- Lecture:
- Monday, 14:15-16:00, Spiegelgasse 5, Seminarraum 05.001
- Wednesday, 14:15-16:00, Spiegelgasse 5, Seminarraum 05.001
- Exercise class:
- Thursday, 14:15-16:00, Spiegelgasse 5, Seminarraum 05.001
Course requirements
In order to obtain the 8 credit points for the lecture and the exercise class you have to fulfill the following criteria:
- Theoretical exercises:
- 2/3 of the total points obtained on the theoretical exercises. One point is given if the exercise is solved in a meaningful manner. On each exercise sheet there will be at most 3 points for theory.
- Presenting the solution of one theoretical exercise at the blackboard at least once during the exercise class.
- Programming excercises:
- 2/3 of the total points obtained on the programming exercises. One point is given if the exercise is solved in a meaningful manner. On each exercise sheet there will at most 1 point for programming.
- Presenting the solution of one programming exercise with the beamer at least once during the exercise class.
References
- L. C. Evans, Partial Differential Equations
- D. Braess, Finite Elemente
- S. C. Brenner, L. R. Scott, The Mathematical Theory of Finite Element Methods
- C. Johnson, Numerical Solution of Partial Differential Equations by the Finite Element Method
- P. G. Ciarlet, The Finite Element Method for Elliptic Problems
- Mats G. Larson, The Finite Element Method: Theory, Implementation, and Applications