Projects
Numerical Linear Algebra and Polynomial Computations KU Leuven
Scalable and error resilient iterative solvers for large scale linear algebra problems. University of Antwerp
Improving performance and scalability of sparse linear algebra codes on multi-core and distributed memory architectures University of Antwerp
Spectroscopic and Geometric Algebra Methods for Lattice Gauge Theory KU Leuven
The best theory currently available to describe the formation of hadronic particles like protons and neutrons is Quantum Chromodynamics (QCD). It predicts the existence of quarks and gluons, although neither of these particles have been observed directly. The theory predicts this is due to a phenomenon called confinement, which forbids quarks and gluons to travel unaccompanied. However, they are believed to be real physical entities, as the ...
Control oriented analysis of linear periodic delay-differential algebraic equations KU Leuven
Delay-differential algebraic equations (DDAEs) naturally appear in mathematical models for dynamical systems. A systematic description of the components of the system and their interconnections leads to a combination of differential equations and algebraic constraints, while the delays model the inherent time-lags in the interconnections. The analysis of systems described by DDAEs is challenging due to the interplay between the implicit ...
Between linear and nonlinear: new tensor perspectives KU Leuven
Fixed-order controller design for linear infinite-dimensional and parameter-varying systems, optimizing stability and H2-Hoo criteria. KU Leuven
nD: Multi-dimensional dynamical models, (multi-)linear numerical algorithms and tensor data. KU Leuven
Numerical methods and software for periodic infinite-dimensional systems KU Leuven
Many dynamical systems in science and engineering are inherently infinite-dimensional, due to distributed parameters and after effects. An elegant way to handle these after effects, that stem from the fact that transfer of material, energy, or information between subsystems is mostly not instantaneous or from modelling heredity, consists of including time-delays in the mathematical models. This PhD project specifically focuses on ...