Projects
Multivariate Decomposition Finite Element Method for Elliptic PDEs with Random Diffusion Coefficients KU Leuven
We develop a multivariate decomposition finite element method (MDFEM) for solving elliptic PDEs with random diffusion coefficients where the diffusion coefficient is parameterized by a countably infinite number of random variables and an appropriate system of functions. We consider two models of parametric diffusion coefficients: uniform and lognormal.
We show that the MDFEM reduces the computational complexity of estimating the expected ...
Orthogonal Polynomials and Matrix Computations. Applications of Recurrence Relations. KU Leuven
Univariate and multivariate polynomials play a fundamental role in pure and applied mathematics.
In this text orthogonal polynomials and their corresponding recurrence relations are studied
and connected to matrix computations
and applied in polynomial interpolation and approximation and in polynomial system solving.
For univariate orthogonal polynomials on the complex unit circle, efficient algorithms for ...
Spatio-temporal modelling of the epidemiology of nephropathia epidemica and Lyme borrelosis KU Leuven
Local and systemic immune interactions in malignant gliomas KU Leuven
Glioblastoma (GBM), the most frequent primary intrinsic brain tumor, is without any doubt one of the most devastating diseases known to mankind. GBM are currently being treated with neurosurgical resection followed by radio- and chemotherapy. However, despite this treatment, prognosis for these patients is grim with a median survival of only 15 months and less than 20% 3-year survival rates. Already at diagnosis, GBM cells are infiltrating ...