Research Output per year
Personal profile
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.
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Research Output
A Generalised Complete Flux scheme for anisotropic advection-diffusion equations
Cheng, H. M. & Boonkkamp, J. T. T., 23 Mar 2020, (Submitted) In : Journal of Scientific Computing.Research output: Contribution to journal › Article › Academic › peer-review
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Inverse reflector design for a point source and far-field target
Romijn, L. B., ten Thije Boonkkamp, J. H. M. & IJzerman, W. L., 1 May 2020, In : Journal of Computational Physics. 408, 23 p., 109283.Research output: Contribution to journal › Article › Academic › peer-review
Similarities and differences of two exponential schemes for convection-diffusion problems: the FV-CF and ENATE schemes
Llorente, V. J., ten Thije Boonkkamp, J. H. M., Pascau, A. & Anthonissen, M. J. H., 15 Jan 2020, In : Applied Mathematics and Computation. 365, 21 p., 124700.Research output: Contribution to journal › Article › Academic › peer-review
Active flux schemes on moving meshes with applications to geometric optics
van Lith, B. S., ten Thije Boonkkamp, J. & IJzerman, W., Jun 2019, In : Journal of Computational Physics: X. 3, 19 p., 100030.Research output: Contribution to journal › Article › Academic › peer-review
Open Access
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A least-squares method for a Monge-Ampère equation with non-quadratic cost function applied to optical design
Yadav, N. K., ten Thije Boonkkamp, J. H. M. & IJzerman, W. L., 1 Jan 2019, Numerical Mathematics and Advanced Applications ENUMATH 2017. Radu, F. A., Kumar, K., Berre, I., Nordbotten, J. M. & Pop, I. S. (eds.). Cham: Springer, p. 301-309 9 p. (Lecture Notes in Computational Science and Engineering; vol. 126).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review
Courses
Student theses
Adaptive non-oscillatory complete flux schemes
Author: Wessels, F., 31 Aug 2015Supervisor: ten Thije Boonkkamp, J. (Supervisor 1)
Student thesis: Master
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A least-squares algorithm for the Monge-Ampère Equation: analysis and application to freeform optics
Author: Wessels, R., 30 Aug 2019Supervisor: ten Thije Boonkkamp, J. H. (Supervisor 1)
Student thesis: Master
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Analysis of a one-dimensional laminar flame
Author: Standaert, F., 30 Apr 1994Supervisor: Mattheij, R. (Supervisor 1), Rienstra, S. (Supervisor 2) & ten Thije Boonkkamp, J. (Supervisor 2)
Student thesis: Master
Analysis of light mixing tubes using chaotic billiards theory
Author: Goorden, S., 31 Mar 2011Supervisor: ten Thije Boonkkamp, J. (Supervisor 1) & Tukker, T. (Supervisor 2)
Student thesis: Master
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Analytical and numerical solution methods for two-point boundary value problems: with an application of the spreading of measles
Author: van Susteren, H., 11 Jul 2019Supervisor: ten Thije Boonkkamp, J. (Supervisor 1)
Student thesis: Bachelor
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