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Quote
“If you look carefully, you can see PDEs everywhere.”
Research profile
Jan ten Thije Boonkkamp is an Associate Professor in the Department of Mathematics and Computer Science at Eindhoven University of Technology (TU/e). His research interests include:
* Numerical analysis - numerical methods for partial differential equations, finite volume methods for conservation laws, complete flux schemes, hyperbolic systems, time integration methods, Monge-Ampère equation, ray tracing
* Applied sciences: computational fluid dynamics, combustion theory, plasma physics, semiconductor simulation, computational illumination optics
Jan operates two main research lines
* Develop mathematical models for illumination optics, both analytical and numerical. An optical system is formulated as an optimal transport problem, subject to energy conservation. This approach allows us to derive a nonlinear PDE defining one of the optical surfaces. Efficient numerical solution methods for this equation are developed.
* Develop novel flux approximation schemes for conservation laws.
Basic idea is to compute the numerical flux from a local boundary value problem. The resulting numerical solution features properties of the exact solution
Academic background
Jan ten Thije Boonkkamp received his MSc from the Department of Applied Mathematics at the University of Twente in 1984. He then started working at the Centrum Wiskunde & Informatica, Amsterdam where he remained until 1988, when he joined Philips Research Laboratories in Eindhoven. In 1991, he joined TU/e. In January 2015, Jan was a Visiting Professor in the Department of Mathematics & Statistics, IIT Kanpur, India. Jan publishes regularly in leading journals, such as the Journal of Computational and Applied Mathematics, Journal of Computational Physics and Journal of Scientific Computing.
Expertise related to UN Sustainable Development Goals
In 2015, UN member states agreed to 17 global Sustainable Development Goals (SDGs) to end poverty, protect the planet and ensure prosperity for all. This person’s work contributes towards the following SDG(s):
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Projects
- 2 Active
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PhotoLitho, Aberration compensation and surface chargin M&CS
ten Thije Boonkkamp, J. H. M., Barion, A. & Verma, S.
1/04/20 → 31/12/25
Project: Research direct
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lntelligent Lighting
ten Thije Boonkkamp, J. H. M. & van Roosmalen, A. H. (.
1/03/20 → 31/12/25
Project: Research direct
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Correction to: An Energy Conservative hp-method for Liouville’s Equation of Geometrical Optics (Journal of Scientific Computing, (2021), 89, 1, (27), 10.1007/s10915-021-01612-x)
van Gestel, R. A. M., Anthonissen, M. J. H., Boonkkamp, J. H. M. T. T. & IJzerman, W. L., 24 Jan 2022, In: Journal of Scientific Computing. 90, 3, 2 p., 80.Research output: Contribution to journal › Comment/Letter to the editor › Academic › peer-review
Open AccessFile7 Downloads (Pure) -
Fresnel reflections in inverse freeform lens design
Van Roosmalen, A. H., Anthonissen, M. J. H., Ijzerman, W. L. & Ten Thije Boonkkamp, J. H. M., 1 Jun 2022, In: Journal of the Optical Society of America A, Optics, Image Science and Vision. 39, 6, p. 1045-1052Research output: Contribution to journal › Article › Academic › peer-review
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A generalised complete flux scheme for anisotropic advection-diffusion equations
Cheng, H. M. & ten Thije Boonkkamp, J., 16 Feb 2021, In: Advances in Computational Mathematics. 47, 26 p., 19.Research output: Contribution to journal › Article › Academic › peer-review
Open Access -
A Monge-Ampère Least-Squares Solver for the Design of a Freeform Lens
Romijn, L. B., .ten Thije Boonkkamp, J. H. M. & IJzerman, W. L., 3 May 2021, Numerical Mathematics and Advanced Applications, ENUMATH 2019 - European Conference. Vermolen, F. J. & Vuik, C. (eds.). Cham: Springer, p. 833-840 8 p. (Lecture Notes in Computational Science and Engineering; vol. 139).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review
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An Energy Conservative hp-method for Liouville’s Equation of Geometrical Optics
van Gestel, R. A. M., Anthonissen, M. J. H., ten Thije Boonkkamp, J. H. M. & IJzerman, W. L., Oct 2021, In: Journal of Scientific Computing. 89, 27.Research output: Contribution to journal › Article › Academic › peer-review
Open AccessFile11 Downloads (Pure)