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Personal profile


“My mission is to bring mathematics forward as a key enabling technology, stressing its importance for industry and society.” 

Research profile

Wil Schilders is a Full Professor and Chair of Scientific Computing in the Industry in the Department of Mathematics and Computer Science at Eindhoven University of Technology (TU/e). His research focuses on numerical linear algebra, indefinite systems, model order reduction, scientific computing, discretisation techniques, boundary element method, singularly perturbed problems, exponential fitting, uniform methods, solution of nonlinear systems, nonlinear variable transformations and numerical methods for the simulation of semiconductor devices and electronic circuits.

Wil’s key areas of expertise include computer systems, architectures, networks, numerical analysis, model order reduction, scientific computing and computational science. He has worked in industry for over 30 years and his emphasis has always been on the development of novel mathematical methods for a large variety of industrial challenges. This is also reflected in his current work, with many national and international industrial contacts, and his presidency of ECMI (2010-2011) and EU-MATHS-IN (from 2016). 

Academic background

Wil Schilders studied Mathematics, with Physics and Astronomy, at the Radboud University in Nijmegen where he obtained his MSc. He received his PhD from Trinity College Dublin, Ireland, with a thesis entitled “Uniform numerical methods for problems with initial and boundary layers” that was published as a book and translated in Russian and Chinese.

In 1980, he joined Philips in Eindhoven, where he worked in the Mathematical Software Group (MSW) on numerical methods for the simulation of semiconductor devices. In 1990, the group moved to the Philips Research Laboratories in Eindhoven (PRLE), and merged with the mathematics group of PRLE to form the Applied Mathematics Group (AMG). In 1996, Wil moved to the IC Design sector of Philips Research. During this period, contacts started with the Scientific Computing group at TU Eindhoven.  

In 2006, Wil moved to the newly formed company NXP Semiconductors where he led the Mathematics Group. In 2010, he moved permanently to TU Eindhoven and also became executive director of the Dutch Platform for Mathematics. In 2011-2012, he led the Scientific Computing Group at TU/e. Wil is also director of the Project Development Office at the Department of Mathematics and Computer Science, TU/e, Executive director Platform Wiskunde Nederland and Chair of European Network for Model Order Reduction.

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Research Output 1980 2019

A bilinear H2 model order reduction approach to linear parameter-varying systems

Benner, P., Cao, X. & Schilders, W. H. A., 18 Apr 2019, In : Advances in Computational Mathematics.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
Linear Parameter-varying Systems
Bilinear Model
Model Order Reduction
Model Reduction
Grassmann Manifold

A Godunov-type scheme for the drift flux model with variable cross section

Abbasi, M., Naderilordejani, S., Velmurugan, N., Berg, C., Iapichino, L., Schilders, W. & van de Wouw, N., 1 Aug 2019, In : Journal of Petroleum Science and Engineering. 179, p. 796-813 18 p.

Research output: Contribution to journalArticleAcademicpeer-review

two phase flow
Two phase flow
cross section

Numerical methods for accelerating transient simulation of dense parasitic RC networks

Dang, N., 1 Oct 2019, (Accepted/In press) Eindhoven: Technische Universiteit Eindhoven. 95 p.

Research output: ThesisPhd Thesis 1 (Research TU/e / Graduation TU/e)Academic

Optimal model order reduction for parametric nonlinear systems

Cao, X., 6 Jun 2019, Eindhoven: Technische Universiteit Eindhoven. 273 p.

Research output: ThesisPhd Thesis 1 (Research TU/e / Graduation TU/e)Academic

Open Access
Nonlinear systems
Electronic equipment

Proper initial solution to start periodic steady-state-based methods

De Luca, G., Bolcato, P. & Schilders, W. H. A., 1 Mar 2019, In : IEEE Transactions on Circuits and Systems I: Regular Papers. 66, 3, p. 1104-1115

Research output: Contribution to journalArticleAcademicpeer-review

Networks (circuits)

Student theses

Acceleration techniques for extraction within semi-automatic design optimization

Author: Egwu, N., 31 Aug 2010

Supervisor: Schilders, W. (Supervisor 1) & Rommes, J. (External person) (Supervisor 2)

Student thesis: Master


Advanced meshing and solution techniques for industrial 3-D electromagnetic simulations

Author: Shchetnikava, V., 31 Aug 2009

Supervisor: Schilders, W. (Supervisor 1) & Schoenmaker, W. (External person) (Supervisor 2)

Student thesis: Master


Algorithms for periodic steady state analysis on electric circuits

Author: Houben, S., 28 Feb 1999

Supervisor: Mattheij, R. (Supervisor 1), Hautus, M. (Supervisor 2), Maubach, J. (Supervisor 2), ter Maten, E. (Supervisor 2) & Schilders, W. (Supervisor 2)

Student thesis: Master

Analytical study of the drift-diffusion problem in organic layers

Author: Yitembe, B., 31 Aug 2007

Supervisor: Schilders, W. (Supervisor 1), Coehoorn, R. (Supervisor 2) & Huizing, B. (External person) (Supervisor 2)

Student thesis: Master


Cell spreading for detailed placement

Author: Gu, B., 14 Dec 2007

Supervisor: Schilders, W. (Supervisor 1), van Eijk, C. (Supervisor 2) & Verbeek, M. (Supervisor 2)

Student thesis: Master