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Personal profile


“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.

Fingerprint Dive into the research topics where Jan H.M. ten Thije Boonkkamp is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

  • 3 Similar Profiles
Fluxes Engineering & Materials Science
Incompressible Navier-Stokes Equations Mathematics
Laminar flow Engineering & Materials Science
Pipe Engineering & Materials Science
Advection-diffusion-reaction Equation Mathematics
conservation laws Physics & Astronomy
Monge-Ampere equation Physics & Astronomy
advection Physics & Astronomy

Network Recent external collaboration on country level. Dive into details by clicking on the dots.

Research Output 1985 2020

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

Convection-diffusion Problems
Numerical Approximation
Transport Equation
Finite Volume
21 Downloads (Pure)

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
ray tracing
Liouville equations
2 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

Optical design
Optical Design
Least Square Method
Cost functions
Cost Function
12 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
Optical systems
Boundary value problems
Boundary conditions
Monte Carlo simulation
1 Citation (Scopus)
34 Downloads (Pure)

A Monge–Ampère problem with non-quadratic cost function to compute freeform lens surfaces

Yadav, N. K., ten Thije Boonkkamp, J. H. M. & IJzerman, W. L., 15 Jul 2019, In : Journal of Scientific Computing. 80, 1, p. 475-499 25 p.

Research output: Contribution to journalArticleAcademicpeer-review

Open Access
Cost functions
Cost Function
Lens Design


Analysis 1

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Linear algebra 2

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Professional portfolio

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Student theses

Adaptive non-oscillatory complete flux schemes

Author: Wessels, F., 31 Aug 2015

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

Student thesis: Master


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