Numerical approximation of PDEs by finite differences and finite volumes
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Additional Info
- ECTS credits: 6
- University: University of Hamburg
- Semester: 2
- Lecturer 1: Jens Struckmeier
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Objectives:
The overall emphasis is on studying the mathematical tools that are essential in developing, analyzing, and successfully using numerical methods for non-linear systems of conservation laws, particularly for problems involving shock waves.
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Topics:
Numerical methods for linear equations. Computing discontinuous solutions. Conservative methods for non-linear problems. Godunov's methods.
Approximate Riemann solvers. Nonlinear stability. High resolution methods.
Semi-discrete methods.