Numerical approximation of PDEs by finite differences and finite volumes

Additional Info

  • ECTS credits: 6
  • Semester: 1
  • University: University of Hamburg
  • 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.

  • 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.

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