- Iterative methods for linear systems (publications)
- Preconditioning for iterative methods (publications)
- Deflation combined with iterative methods (publications, Fracking)
- Iterative methods for the Helmholtz equation (Krylov methods,
preconditioning, multigrid) (publications).
Many applications of Helmholtz problems are in seismic applications. Two
visualization made by Hans Knibbe can be found here:
video 1 and
video 2.

One of the first reports on multigrid is:

Fast approximate inversion of large sparse linear systems

Paul O. Fredrickson

Lakehead University, Mathematics Report #7-75, 1975

- Iterative methods for Least Squares problems (publications)
- Iterative methods to calculate eigenvalues (publications)

- Iterative solution of the power grid equations ( Load Flow simulation software )
- Contingency analysis
- Transient simulations Solution of the Navier Stokes equations by the pressure correction method

- MOTOR Multi-ObjecTive design Optimization of fluid eneRgy machines.
- Solution of the Navier Stokes equations by the pressure correction method
- Coupled approach, where the momentum and pressure equations are solved simultaneously.
- Convection diffusion equation
- Poisson equation

- Interested in developments of MPI and OpenMP
- Scientific Computing on GPU's
- Domain decomposition methods
- Parallel methods for a cluster of workstations

- Conservative discretization of the Stefan condition at the free boundary
- Historical background of the Stefan problem
- Modelling and applications: etching problems, homogenization of alloys etc.
- Numerical methods for multiphase flow, bubbles etc. (publications)

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