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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

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 journalArticleAcademicpeer-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 journalArticleAcademicpeer-review

  • Active flux schemes on moving meshes with applications to geometric optics

    van Lith, B. S., ten Thije Boonkkamp, J. & IJzerman, W., 4 Apr 2019, In : Journal of Computational Physics: X. 3, 19 p., 100030.

    Research output: Contribution to journalArticleAcademicpeer-review

    Open Access
    File
  • 24 Downloads (Pure)

    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 proceedingConference contributionAcademicpeer-review

  • 2 Downloads (Pure)

    A least-squares method for the design of two-reflector optical systems

    Yadav, N., Romijn, L., ten Thije Boonkkamp, J. & IJzerman, W., 2019, In : JPhys Photonics. 1, 16 p., 034001.

    Research output: Contribution to journalArticleAcademicpeer-review

    Open Access
    File
  • 18 Downloads (Pure)

    Courses

    Analysis 1

    1/09/12 → …

    Course

    Linear algebra 2

    1/09/12 → …

    Course

    Professional portfolio

    1/09/15 → …

    Course

    Student theses

    Adaptive non-oscillatory complete flux schemes

    Author: Wessels, F., 31 Aug 2015

    Supervisor: ten Thije Boonkkamp, J. (Supervisor 1)

    Student thesis: Master

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    Analysis of a one-dimensional laminar flame

    Author: Standaert, F., 30 Apr 1994

    Supervisor: 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 2011

    Supervisor: ten Thije Boonkkamp, J. (Supervisor 1) & Tukker, T. (Supervisor 2)

    Student thesis: Master

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