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Persoonlijk profiel

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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Onderzoeksoutput 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 blz., 124700

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

Convection-diffusion Problems
Numerical Approximation
Transport Equation
Finite Volume
Fluxes

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 blz., 100030

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

Open Access
Bestand
mesh
optics
ray tracing
scaling
Liouville equations

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. (redactie). Cham: Springer, blz. 301-309 9 blz. (Lecture Notes in Computational Science and Engineering; vol. 126)

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademicpeer review

Monge-Ampère Equation
Optical design
Optical Design
Least Square Method
Cost functions

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 blz., 034001

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

Open Access
Bestand
Optical systems
Boundary value problems
Boundary conditions
Monte Carlo simulation

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., jul 2019, In : Journal of Scientific Computing. 80, 1, blz. 475-499 25 blz.

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

Open Access
Bestand
Cost functions
Lens
Cost Function
Lenses
Lens Design

Cursussen

Analysis 1

1/09/12 → …

Cursus

Linear algebra 2

1/09/12 → …

Cursus

Professional portfolio

1/09/15 → …

Cursus

Scriptie

Adaptive non-oscillatory complete flux schemes

Auteur: Wessels, F., 31 aug 2015

Begeleider: ten Thije Boonkkamp, J. (Afstudeerdocent 1)

Scriptie/masterproef: Master

Bestand

Analysis of a one-dimensional laminar flame

Auteur: Standaert, F., 30 apr 1994

Begeleider: Mattheij, R. (Afstudeerdocent 1), Rienstra, S. (Afstudeerdocent 2) & ten Thije Boonkkamp, J. (Afstudeerdocent 2)

Scriptie/masterproef: Master

Analysis of light mixing tubes using chaotic billiards theory

Auteur: Goorden, S., 31 mrt 2011

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

Scriptie/masterproef: Master

Bestand

Analytical and numerical solution methods for two-point boundary value problems: with an application of the spreading of measles

Auteur: van Susteren, H., 11 jul 2019

Begeleider: ten Thije Boonkkamp, J. (Afstudeerdocent 1)

Scriptie/masterproef: Bachelor

Bestand

An introduction to phase space ray tracing: and everything that came before

Auteur: van Barlingen, R., 11 jul 2019

Begeleider: ten Thije Boonkkamp, J. (Afstudeerdocent 1)

Scriptie/masterproef: Bachelor

Bestand