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Persoonlijk profiel


“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.

Vingerafdruk Duik in de onderzoeksthema's waar Wil H.A. Schilders actief is. Deze onderwerplabels komen voort uit het werk van deze persoon. Samen vormen ze een unieke vingerafdruk.

  • 1 Vergelijkbare profielen
Model Order Reduction Rekenkunde
Resistors Engineering en materiaalwetenschappen
Networks (circuits) Engineering en materiaalwetenschappen
Algebraic Differential Equations Rekenkunde
Factorization Rekenkunde
Differential equations Engineering en materiaalwetenschappen
Saddlepoint Rekenkunde
Drilling Engineering en materiaalwetenschappen

Netwerk Recente externe samenwerking op landenniveau. Duik in de details door op de stippen te klikken.

Onderzoeksoutput 1980 2020

Error estimation in reduced basis method for systems with time-varying and nonlinear boundary conditions

Abbasi, M., Iapichino, L., Besselink, B., Schilders, W. & van de Wouw, N., 1 mrt 2020, In : Computer Methods in Applied Mechanics and Engineering. 360, 27 blz., 112688.

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

Error analysis
Boundary conditions
boundary conditions
partial differential equations

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

Benner, P., Cao, X. & Schilders, W. H. A., 1 dec 2019, In : Advances in Computational Mathematics. 45, blz. 2241–2271

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

Open Access
Linear Parameter-varying Systems
Bilinear Model
Model Order Reduction
Model Reduction
Grassmann Manifold
1 Citaat (Scopus)
1 Downloads (Pure)

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, blz. 796-813 18 blz.

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

two phase flow
Two phase flow
cross section
1 Downloads (Pure)

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

De Luca, G., Bolcato, P. & Schilders, W. H. A., 1 mrt 2019, In : IEEE Transactions on Circuits and Systems I: Regular Papers. 66, 3, blz. 1104-1115 12 blz., 8515269.

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

Networks (circuits)
1 Downloads (Pure)

A novel Krylov method for model order reduction of quadratic bilinear systems

Cao, X., Maubach, J. M. L., Weiland, S. & Schilders, W. H. A., dec 2018, 2018 57th IEEE Conference on Decision and Control. Institute of Electrical and Electronics Engineers, blz. 3217-3222 6 blz.

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademicpeer review

transfer functions
SISO (control systems)
dynamical systems


Acceleration techniques for extraction within semi-automatic design optimization

Auteur: Egwu, N., 31 aug 2010

Begeleider: Schilders, W. (Afstudeerdocent 1) & Rommes, J. (Externe persoon) (Afstudeerdocent 2)

Scriptie/masterproef: Master


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

Auteur: Shchetnikava, V., 31 aug 2009

Begeleider: Schilders, W. (Afstudeerdocent 1) & Schoenmaker, W. (Externe persoon) (Afstudeerdocent 2)

Scriptie/masterproef: Master


Algorithms for periodic steady state analysis on electric circuits

Auteur: Houben, S., 28 feb 1999

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

Scriptie/masterproef: Master

Analytical study of the drift-diffusion problem in organic layers

Auteur: Yitembe, B., 31 aug 2007

Begeleider: Schilders, W. (Afstudeerdocent 1), Coehoorn, R. (Afstudeerdocent 2) & Huizing, B. (Externe persoon) (Afstudeerdocent 2)

Scriptie/masterproef: Master


Cell spreading for detailed placement

Auteur: Gu, B., 14 dec 2007

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

Scriptie/masterproef: Master