Matthias Schlottbom is an associate professor (UHD) in the group Mathematics of Computational Science (MACS) in the Department of Applied Mathematics at the University of Twente.
His research interests are in Numerical Analysis and Scientific Computing. The main focus is the development of numerical methods for partial differential equations and inverse problems. Main areas of applications are photonics and medical imaging.
See also https://sites.google.com/view/website-m-schlottbom/startseite
Expertise
Mathematics
- Discretization
- Approximation
- Parameters
- Error Analysis
- Finite Element Methods
- Terms
- Operators
- Regularization
Organisations
Publications
2024
A Phase-Space Discontinuous Galerkin Scheme for the Radiative Transfer Equation in Slab Geometry (2024)Computational Methods in Applied Mathematics, 24(3), 557-576. Schlottbom, M., Palii, O., Bertrand, F. & Bardin, R.https://doi.org/10.1515/cmam-2023-0090On the unique solvability of radiative transfer equations with polarization (2024)Journal of differential equations, 393, 174-203. Bosboom, V., Schlottbom, M. & Schwenninger, F. L.https://doi.org/10.1016/j.jde.2024.02.022Script underlying the paper "Phase-Space Discontinuous Galerkin Scheme for the Radiative Transfer Equation in Slab Geometry" (2024)[Dataset Types › Dataset]. 4TU.Centre for Research Data. Schlottbom, M., Bardin, R., Palii, O. & Bertrand, F.https://doi.org/10.4121/b9896e32-e99b-41b9-ae24-1700b9e4cbffNon-utopian optical properties computed of a tomographically reconstructed real photonic band gap crystal (2024)[Working paper › Preprint]. ArXiv.org. Willenswaard, L. J. C. v., Smeets, S., Renaud, N., Schlottbom, M., Vegt, J. J. W. v. d. & Vos, W. L.https://doi.org/10.48550/arXiv.2402.09395
2023
Data: Non-utopian optical properties computed of a tomographically reconstructed real photonic band gap crystal (2023)[Dataset Types › Dataset]. Zenodo. Corbijn van Willenswaard, L. J., Smeets, S., Renaud, N., Schlottbom, M., van der Vegt, J. J. W. & Vos, W. L.https://doi.org/10.5281/zenodo.10419090Symmetries and Wavefunctions of Photons Confined in 3D Photonic Band Gap Superlattices (2023)[Working paper › Preprint]. ArXiv.org. Kozon, M., Lagendijk, A., Schlottbom, M., van der Vegt, J. J. W. & Vos, W. L.https://doi.org/10.48550/arXiv.2311.18123Unsupervised machine learning to classify the confinement of waves in periodic superstructures (2023)Optics express, 31(19), 31177-31199. Kozon, M., Lagendijk, A., Schlottbom, M., van der Vegt, J. J. W. & Vos, W. L.https://doi.org/10.1364/OE.492014Computation of Optical Properties of Real Photonic Band Gap Crystals as Opposed to Utopian Ones (2023)[Contribution to conference › Poster] CLEO/Europe-EQEC 2023. Corbijn van Willenswaard, L. J., Smeets, S., Renaud, N., Schlottbom, M., Vos, W. L. & van der Vegt, J. J. W.Computation of Optical Properties of Real Photonic Band Gap Crystals as Opposed to Utopian Ones (2023)In 2023 Conference on Lasers and Electro-Optics Europe & European Quantum Electronics Conference (CLEO/Europe-EQEC). Article 10232742 (Proceedings Conference on Lasers and Electro-Optics Europe & European Quantum Electronics Conference (CLEO/Europe-EQEC); Vol. 2023). IEEE. Willenswaard, L. J. C. v., Smeets, S., Renaud, N., Schlottbom, M., Vos, W. L. & van der Vegt, J. J. W.https://doi.org/10.1109/CLEO/Europe-EQEC57999.2023.10232742A metriplectic formulation of polarized radiative transfer (2023)Journal of physics A: mathematical and theoretical, 56(34). Article 345206. Bosboom, V., Kraus, M. & Schlottbom, M.https://doi.org/10.1088/1751-8121/aceae2
Research profiles
Affiliated study programs
Courses academic year 2024/2025
Courses in the current academic year are added at the moment they are finalised in the Osiris system. Therefore it is possible that the list is not yet complete for the whole academic year.
Courses academic year 2023/2024
Current projects
Low-rank tensor product methods for radiative transfer
Structure preserving discretizations for radiative transfer
Computation of optical properties of nanostructures
Error analysis for DG approximations of non-smooth problems
Simulation of EM waves in photonic quasicrystals
Model reduction for the seismic wave equation
Finished projects
Theoretical and Computational Analysis of Wave Confinement in Periodic Media
On approximation methods and efficient iterative solvers for the radiative transfer equation
Address
University of Twente
Zilverling (building no. 11), room 3034
Hallenweg 19
7522 NH Enschede
Netherlands
University of Twente
Zilverling 3034
P.O. Box 217
7500 AE Enschede
Netherlands
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