# Wil Schilders

**Fellowship**

Hans Fischer Senior Fellowship

**Appointment**

2021

**Institution**

Eindhoven University of Technology

**Department**

Mathematics and Computer Science

**Host**

Prof. Hans-Joachim Bungartz

**Focus Group**

Scientific Machine Learning

## Short CV

Wil Schilders obtained his MSc in mathematics, physics and astronomy from the Radboud University in Nijmegen (NL) in 1978, and his PhD in numerical mathematics from Trinity College Dublin, Ireland, in 1980. From 1980-2006 he worked in the Mathematical Software Group and the Applied Mathematics Group at the Philips Research Laboratories in Eindhoven (NL), and from 2006-2010 was the head of the Mathematics Group at NXP Semiconductors. His work at Philips and NXP Semiconductors was mainly concerned with the development of robust and efficient numerical methods for the simulation of semiconductor devices, electronic circuits and electromagnetics problems. In 1999, he became a full professor (part-time) of scientific computing for industry at Eindhoven University of Technology. Since 2010, he is both a professor at TU Eindhoven and the executive director of the Dutch Platform for Mathematics. He is active in organising workshops and international conferences (e.g. SCEE 2002, Preconditioning 2015, SCEE 2020, SCEE 2022, SIAM CSE 2023), also initiated and chaired the European network on Model Order Reduction (EU-MORNET, 2014-2018) with over 300 researchers. He has been president of the European Consortium of Mathematics for Industry (ECMI, 2010-2011) and the European Service Organisation of Mathematics for Industry and Innovation (EU-MATHS-IN, 2016-2020). In 2019, he was elected officer-at-large in the board of the International Council for Industrial and Applied Mathematics (ICIAM), and will be its next president from 2023-2027.

## Selected Awards

- 2022-2024, Hans Fischer Senior Fellowship TU Munich
- 2021, ECMI Honorary Member
- 2020/2021, 4th Mittelsten-Scheid guest professor University of Wuppertal
- 1978, Radboud University Nijmegen mathematics prize

## Research Interests

- Scientific computing methods for modelling and simulation, including mimetic methods for discretisation and the solution of linear and nonlinear problems.
- Solution of indefinite linear systems
- Model order reduction for linear and nonlinear differential equations, including differential algebraic equations and coupled systems
- Scientific machine learning, combining methods from scientific computing with machine learning techniques
- Industrial challenges from a variety of industries

## Selected Publications

**Books:**

- W.H.A. Schilders and E.J.W. ter Maten (eds.), Numerical methods in electromagnetics, Handbook of Numerical Analysis (2005)
- Peter Benner, Stefano Grivet-Talocia, Alfio Quarteroni, Gianluigi Rozza, Wilhelmus H. A. Schilders and Luis Miguel Silveira (eds), Handbook of Model Order Reduction”, Volume 1,2,3, Walter De Gruyter GmbH, Berlin (2020-2021) (Open Access)
- W.H.A. Schilders and M. Guenther (eds), “Novel mathematics inspired by industrial challenges”, Springer Verlag, Heidelberg (2021)

**Journal papers:**

- S.J. Polak, C. den Heijer, W.H.A. Schilders, and P.A. Markowich, “
*Semiconductor device modelling from the numerical point of view*” (**review paper**, International Journal for Numerical Methods in Engineering, vol. 24, pp. 763-838 (1987) - W.H.A. Schilders, J.J.H. Miller and S. Wang, “
*Application of finite element methods to the simulation of semiconductor devices”*(**review paper**), Reports on Progress in Physics, vol. 62, pp. 277-353 (1999) - H.S. Dollar, N.I.M. Gould, W.H.A. Schilders, A.J. Wathen, “
*On iterative methods and implicit-factorization preconditioners for regularized saddle-point systems*”, SIAM J. Matr. Anal. Appl., vol. 27, pp. 170-189 (2006) - W.H.A. Schilders,
*“Solution of indefinite linear systems using an LQ decomposition for the linear constraints”,*Linear Algebra and its Applications, vol.431 (30-4), pp. 381-395 (2009) - J. Rommes and W.H.A. Schilders, “
*Efficient methods for large resistor networks*”, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, vol. 29, pp. 28-39 (2010) - S. Lungten, W.H.A. Schilders and J.A. Scott, “
*Preordering saddle-point systems for sparse LDLT factorization without pivoting*”, Numerical Linear Algebra with Applications, 25(5), [e2173]. DOI: 10.1002/nla.2173 (2018) - P. Benner, X. Cao and W.H.A. Schilders, “
*A bilinear H2 model order reduction approach to linear parameter-varying systems*”, Advances in Computational Mathematics. DOI: 10.1007/s10444-019-09695-9 (2019)