This is an overview on topics I have worked on or where I am interested in

• Numerics

  • ODEs, DAEs
    • Runge-Kutta and Rosenbrock methods
    • Order and Stability
    • multirate techniques
    • optimal control
    • Geometric integration (Lie group methods)
  • PDEs
  • Simulation of atmospheric dynamics
  • Euler equations, shallow water equations
  • grids on the sphere
  • anelastic materials
  • granular materials

• Application fields

  • Numerical weather prediction
  • materials (elastic/anelastic/plastic)
  • Bioinformatics, 2D Gel-Electrophoresis, Imgae registration and segmentation
  • Simulation/Animation of robotic and human motion

• Validated Benchmark Data Sets for Variance Component estimation

• Images, Movies, etc.