Research interests

Numerical solution of instationary differential equations (Grimm, Hochbruck, Wortmann)

• exponential integrators for stiff and oscillatory problems
• computational fluid dynamics
• simulations of classical and quantum mechanical molecular dynamics
• laser plasma physics

Numerical linear algebra (Hochbruck, Lenhardt)

• iterative methods for large systems of linear equations
• numerical solution of eigenvalue problems
• approximation of matrix operators

Numerical analysis (Grimm)

• numerical solution of partial differential equations, multigrid methods
• direct variational methods and multiscale methods for image processing
• regularization of ill posed (inverse) problems
• nonlinear large-scale optimization

Additional research interests

Interval computations (Neher)

• verification methods, in particular for ODEs
• software for verification methods

Other

• ordinary differential equations
• direct solvers for sparse matrices
• iterative solvers for sparce matrices
• scientific computing and parallel algorithms
• mathlab for high school students