Research team

Our team develops numerical methods and related theory for the solution of parameterized matrix problems. This includes eigenvalue problems and linear systems. Parameters could be the frequency of a vibration, temperature in a chemical reaction, the delay in a delay differential equation, or physical parameters such as thickness, etc.

The research group also intends to develop software for some of these methods.

Applications are:

• the stability analysis of (nonlinear) dynamical systems;
• fast frequency response computation (with and without parameters);
• PDE constrained optimization in acoustics and vibrations;
• sensitivity analysis of parameters in vibrating models, described by systems of ODE's;

Our research focuses on Krylov methods, or projection methods in general, eigenvalue problems, parallel computing, and computational acoustics.

People:

• Yao Yue: works on PDE constrained optimization;
• Maryam Saadvandi: works on parametric model order reduction for acoustics;
• Jeroen De Vlieger: works on parametric eigenvalue problems;
• Nick Vannieuwenhoven: currently works on tensor decompositions and preconditioning (with Raf Vandebril);
• Roel Van Beeumen: works on the solution of non-linear eigenvalue problems (with Wim Michiels);
• Karl Meerbergen: works on eigenvalue problems and model reduction.