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

## Research Output 1985 2019

## 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

## Complete flux scheme for parabolic singularly perturbed differential-difference equations

Kumar, S., Rathish Kumar, B. V. & ten Thije Boonkkamp, J. H. M., 1 Mar 2019, In : Numerical Methods for Partial Differential Equations. 35, 2, p. 790-804 15 p.Research output: Contribution to journal › Article › Academic › peer-review

## Computation of double freeform optical surfaces using a Monge–Ampère solver: Application to beam shaping

Yadav, N. K., ten Thije Boonkkamp, J. H. M. & IJzerman, W. L., 15 May 2019, In : Optics Communications. 439, p. 251-259 9 p.Research output: Contribution to journal › Article › Academic › peer-review

## Nonlinear flux approximation scheme for Burgers equation derived from a local BVP

ten Thije Boonkkamp, J. H. M., Kumar, N., Koren, B., van der Woude, D. A. M. & Linke, A., 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. 1015-1023 9 p. (Lecture Notes in Computational Science and Engineering; vol. 126)

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

## Solving inverse illumination problems with Liouville's equation

van Lith, B. S., ten Thije Boonkkamp, J. H. M. & IJzerman, W. L., 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. 311-319 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

## 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

## Comparing two methods for Monte Carlo ray tracing

Author: van de Leur, L., 2013Supervisor: ten Thije Boonkkamp, J. (Supervisor 1)

Student thesis: Bachelor

## Complete flux scheme for compressible flow computation

Author: Marnah, N., 17 Dec 2010Supervisor: ten Thije Boonkkamp, J. (Supervisor 1)

Student thesis: Master