Preprints

Journal Publications

1. Markus Bachmayr, Riccardo Bardin, Matthias Schlottbom
   Low-rank tensor product Richardson iteration for radiative transfer in plane-parallel geometry.
   SIAM Journal on Numerical Analysis, accepted, 2025.
   arxiv zenodo

2. Vincent Bosboom, Herbert Egger, Matthias Schlottbom
   Analysis and systematic discretization of a Fokker-Planck equation with Lorentz force.
   Computational Methods in Applied Mathematics. 2025
   doi: 10.1515/cmam-2025-0061 arxiv zenodo

3. Elena Giammatteo, Alexander Heinlein, Philip Lederer, Matthias Schlottbom
   High-order discretized ACMS method for the simulation of finite-size two-dimensional photonic crystals.
   Computers and Mathematics with Applications, Vol. 196, pp. 376--394, 2025.
   doi: 10.1016/j.camwa.2025.08.013 arxiv zenodo

4. Rhys Hawkins, Muhammad Hamza Khalid, Matthias Schlottbom, Kathrin Smetana
   Model order reduction for seismic applications.
   SIAM Journal on Scientific Computing, Vol. 47, Issue 5, pp. B1054--B1076. 2025
   doi: 10.1137/24M1667737 arxiv

5. Riccardo Bardin, Matthias Schlottbom
   On accelerated iterative schemes for anisotropic radiative transfer using residual minimization.
   SIAM Journal on Scientific Computing, Vol. 47, Issue 4, pp. B801--B821, 2025.
   doi: 10.1137/24M1678398 arxiv WavesNL talk zenodo

6. Herbert Egger, Kathrin Hellmuth, Nora Philippi, Matthias Schlottbom
   A kinetic chemotaxis model and its diffusion limit in slab geometry.
   Asymptotic Analysis. Online First, 1-15. 2025
   doi: 10.1177/09217134251328514 arxiv

7. Elena Giammatteo, Alexander Heinlein, Matthias Schlottbom
   An extension of the approximate component mode synthesis method to the heterogeneous Helmholtz equation.
   IMA Journal of Numerical Analysis, Vol. 00, pp.1--36, 2024.
   doi: 10.1093/imanum/drae076 arxiv gitHub

8. Marek Kozon, Ad Lagendijk, Matthias Schlottbom, Jaap J. W. van der Vegt, Willem L. Vos
   Symmetries and Wavefunctions of Photons Confined in 3D Photonic Band Gap Superlattices.
   Physical Review B, Vol. 109, No. 23, 2024.
   doi: 10.1103/PhysRevB.109.235141 arxiv

9. Lars J. Corbijn van Willenswaard, Stef Smeets, Nicolas Renaud, Matthias Schlottbom, Jaap J.W. van der Vegt, Willem L. Vos
   Non-utopian optical properties computed of a tomographically reconstructed real photonic band gap crystal.
   Optics Express 32, 32028-32047, 2024.
   doi: 10.1364/OE.519464 arxiv

10. Vincent Bosboom, Matthias Schlottbom, Felix Schwenninger
    On the unique solvability of radiative transfer equations with polarization.
    Journal of Differential Equations, Vol. 393, Issue 5, pp. 174--203, 2024.
    doi: 10.1016/j.jde.2024.02.022 arxiv

11. Riccardo Bardin, Fleurianne Bertrand, Olena Palii, Matthias Schlottbom
    On a phase-space discontinuous Galerkin approximation for the radiative transfer equation in slab geometry.
    Computational Methods in Applied Mathematics, Vol. 24, Issue 3, pp. 557-576, 2024
    doi: 10.1515/cmam-2023-0090 arxiv scripts for the paper

12. Vincent Bosboom, Michael Kraus, Matthias Schlottbom
    A metriplectic formulation of polarized radiative transfer.
    Journal of Physics A: Mathematical and Theoretical. Vol. 56, No. 34, 345206, 2023.
    doi: 10.1088/1751-8121/aceae2 arxiv

13. Marek Kozon, Rutgers Schrijver, Matthias Schlottbom, Jaap J. W. van der Vegt, Willem L. Vos
    Unsupervised Machine Learning to Classify the Confinement of Waves in Periodic Superstructures.
    Optics Express. Vol. 31, Issue 19, pp. 31177-31199, 2023.
    doi: 10.1364/OE.492014 arxiv

14. Kaifang Liu, Dietmar Gallistl, Matthias Schlottbom, Jaap van der Vegt
    Analysis of a mixed discontinuous Galerkin method for the time-harmonic Maxwell equations with minimal smoothness requirements.
    IMA Journal of Numerical Analysis, Vol. 43, Issue 4, pp. 2320-2351, 2023
    doi/10.1093/imanum/drac044/6668830 arxiv

15. Jan-Frederik Pietschmann, Matthias Schlottbom
    Data driven gradient flows.
    Electronic Transactions on Numerical Analysis. Vol. 57, pp. 193-215, 2022.
    doi: 10.1553/etna_vol57s193 arxiv

16. Marek Kozon, Ad Lagendijk, Matthias Schlottbom, Jaap J. W. van der Vegt, Willem L. Vos
    Scaling theory of wave confinement in classical and quantum periodic systems.
    Physical Review Letters 129, 176401, 2022.
    doi: 10.1103/PhysRevLett.129.176401 arxiv

17. Jürgen Dölz, Olena Palii, Matthias Schlottbom
    On robustly convergent and efficient iterative methods for anisotropic radiative transfer.
    Journal of Scientific Computing 90 (94), 2022.
    doi: 10.1007/s10915-021-01757-9 arxiv GAMM talk scripts for the paper

18. Jürgen Dölz, Herbert Egger, Matthias Schlottbom
    A model reduction approach for inverse problems with operator valued data.
    Numerische Mathematik 148, 889--917, 2021.
    doi: 10.1007/s00211-021-01224-5 arxiv CASA talk

19. Olena Palii, Matthias Schlottbom
    On a convergent DSA preconditioned source iteration for a DGFEM method for radiative transfer.
    Computers and Mathematics with Applications, Vol. 79, Issue 12, pp. 3366 - 3377, 2020.
    doi: 10.1016/j.camwa.2020.02.002 arxiv

20. Herbert Egger, Matthias Schlottbom
    A Perfectly Matched Layer Approach for $P_N$-approximations in Radiative Transfer.
    SIAM J. Numer. Anal., 57(5), 2166-2188, 2019.
    doi: 10.1137/18M1172521 arxiv

21. Alexander Lorz, Jan-Frederik Pietschmann, Matthias Schlottbom
    Parameter identification in a structured population model.
    Inverse Problems, Vol. 35, No. 9, 095008, 2019.
    doi: 10.1088/1361-6420/ab1af4 arxiv

22. Herbert Egger, Jan-Frederik Pietschmann, Matthias Schlottbom
    On the uniqueness of nonlinear diffusion coefficients in the presence of lower order terms.
    Inverse Problems, Vol. 33, No. 11, 115005, 2017.
    doi: 10.1088/1361-6420/aa8cae arxiv

23. Martin Burger, Ole L. Elvetun, Matthias Schlottbom
    Analysis of the diffuse domain method for second order elliptic boundary value problems.
    Foundations of Computational Mathematics, Vol. 17, Issue 3, pp. 627 - 674, 2017.
    doi: 10.1007/s10208-015-9292-6 arxiv

24. Herbert Egger, Matthias Schlottbom
    A class of Galerkin schemes for time-dependent radiative transfer.
    SIAM J. Numer. Anal., Vol. 54, No. 6, pp. 3577-3599, 2016.
    doi: 10.1137/15M1051336 arxiv

25. Matthias Schlottbom
    Error analysis of a diffuse interface method for elliptic problems with Dirichlet boundary conditions.
    Applied Numerical Mathematics, Vol. 109, pp. 109 - 122, 2016.
    doi: 10.1016/j.apnum.2016.06.005 arxiv

26. Jan Haskovec, Peter Markowich, Benoît Perthame, Matthias Schlottbom
    Notes on a PDE System for Biological Network Formation.
    Nonlinear Analysis, Vol. 138, pp. 127 - 155, 2016.
    doi: 10.1016/j.na.2015.12.018 arxiv

27. Martin Burger, Ole L. Elvetun, Matthias Schlottbom
    Diffuse Interface Methods for Inverse Problems: Case Study for an Elliptic Cauchy Problem.
    Inverse Problems, Vol. 31, No. 12, 125002, 2015.
    doi: 10.1088/0266-5611/31/12/125002 arxiv

28. Herbert Egger, Jan-Frederik Pietschmann, Matthias Schlottbom
    Identification of chemotaxis models with volume-filling.
    SIAM J. Appl. Math., Vol. 75, Issue 2, pp. 275 - 288, 2015.
    doi: 10.1137/140967222 pdf arxiv

29. Herbert Egger, Jan-Frederik Pietschmann, Matthias Schlottbom
    Identification of nonlinear heat conduction laws.
    Journal of Inverse and Ill-Posed Problems, Vol. 23, Issue 5, pp. 429 - 437, 2015.
    doi: 10.1515/jiip-2014-0030 arxiv

30. Herbert Egger, Matthias Schlottbom
    Numerical methods for parameter identification in stationary radiative transfer.
    Comput. Optim. Appl., Vol. 62, Issue 1, pp. 67 - 83, 2015.
    doi:10.1007/s10589-014-9657-9 arxiv

31. Herbert Egger, Matthias Schlottbom
    Diffusion asymptotics for linear transport with low regularity.
    Asymptotic Analysis, Vol. 89, No. 3 - 4, pp. 365 - 377, 2014.
    doi: 10.3233/ASY-141235 arxiv

32. Herbert Egger, Jan-Frederik Pietschmann, Matthias Schlottbom
    Simultaneous identification of diffusion and absorption coefficients in a quasilinear elliptic problem.
    Inverse Problems, Vol. 30, No. 3, 035009, 2014.
    doi:10.1088/0266-5611/30/3/035009 arxiv

33. Herbert Egger, Jan-Frederik Pietschmann, Matthias Schlottbom
    Numerical identification of a nonlinear diffusion law via regularization in Hilbert scales.
    Inverse Problems, Vol. 30, No. 2, 025004, 2014.
    doi:10.1088/0266-5611/30/2/025004 arxiv

34. Herbert Egger, Matthias Schlottbom
    An Lp theory for stationary radiative transfer.
    Applicable Analysis, Vol. 93, Issue 6, pp. 1283-1296, 2014.
    doi:10.1080/00036811.2013.826798 pdf arxiv

35. Herbert Egger, Matthias Schlottbom
    Stationary radiative transfer with vanishing absorption.
    Math. Models Methods Appl. Sci., Vol. 4, No. 5, pp. 973-990, 2014.
    doi:10.1142/S0218202513500735 preprint

36. Simon Arridge, Herbert Egger, Matthias Schlottbom
    Preconditioning of complex symmetric linear systems with applications in optical tomography.
    Applied Numerical Mathematics, Vol. 74, pp. 35-48, 2013.
    doi:10.1016/j.apnum.2013.06.008 preprint

37. Herbert Egger, Matthias Schlottbom
    A Mixed Variational Framework for the Radiative Transfer Equation.
    Math. Models Methods Appl. Sci., Vol. 22, Issue 3, 1150014, 2012.
    doi:10.1142/S021820251150014X preprint

38. Herbert Egger, Matthias Schlottbom
    Efficient Reliable Image Reconstruction Schemes for Diffuse Optical Tomography.
    Inv. Probl. Sci. Engrg., Vol. 19, Issue 2, pp. 155 - 180, 2011.
    doi:10.1080/17415977.2010.531469 preprint

39. Herbert Egger, Matthias Schlottbom
    Analysis and Regularization of Problems in Diffuse Optical Tomography.
    SIAM J. Math. Anal., Vol. 42, Issue 5, pp. 1934-1948, 2010.
    doi:10.1137/090781590 pdf

40. Herbert Egger, Manuel Freiberger, Matthias Schlottbom
    On Forward and Inverse Models in Fluorescence Diffuse Optical Tomography.
    Inverse Problems and Imaging, Vol. 4, No. 3, pp. 411-427, 2010.
    doi:10.3934/ipi.2010.4.411 preprint

Book Chapter

• Giacomo Albi, Martin Burger, Jan Haskovec, Peter Markowich and Matthias Schlottbom
  Discrete and Continuum Modeling of Biological Network Formation.
  In Active Particles, Volume 1, Advances in Theory, Models, and Applications.
  Editors: N. Bellomo, P. Degond, E. Tadmor, Birkhäuser, 2017.
  doi: 10.1007/978-3-319-49996-3

Conference papers and other

• Marek Kozon, Lars J. Corbijn van Willenswaard, Matthias Schlottbom, Jaap J.W. van der Vegt, Willem L. Vos
  Discontinuous Galerkin Method to Model Light Propagation in Photonic Crystals of Any Size
  Conference on Lasers and Electro-Optics Europe & European Quantum Electronics Conference (CLEO/Europe-EQEC), 2023
  doi.org/10.1109/CLEO/Europe-EQEC57999.2023.10232250

• Lars J. Corbijn van Willenswaard, Stef Smeets, Nicolas Renaud, Marek Kozon, Matthias Schlottbom, Jaap J.W. van der Vegt, Willem L. Vos
  Photon Confinement in 3D Photonic Band Gap Superlattices
  Conference on Lasers and Electro-Optics Europe & European Quantum Electronics Conference (CLEO/Europe-EQEC), 2023
  doi.org/10.1109/CLEO/Europe-EQEC57999.2023.10231579

• Marek Kozon, Matthias Schlottbom, Jaap J.W. van der Vegt, Willem L. Vos
  Computation of Optical Properties of Real Photonic Band Gap Crystals as Opposed to Utopian Ones
  Conference on Lasers and Electro-Optics Europe & European Quantum Electronics Conference (CLEO/Europe-EQEC), 2023
  doi.org/10.1109/CLEO/Europe-EQEC57999.2023.10232742

• G. Carere, B. J. Geurts, B. van 't Hof, F. Holtkamp, E. Luesink, M. Schlottbom, J. Suk, M. Sweering, J. M. Wolterink
  Digital Foot Models from Sensor Data for Improved Orthopedic Aid Fitting
  Study Group Mathematics with Industry SWI 2022
  10.33774/miir-2023-mk9wn

• Marek Kozon, Lars J. Corbijn van Willenswaard, Matthias Schlottbom, Willem L. Vos, and Jaap J. W. van der Vegt
  Size-Robust Multiscale FEM for Light Propagation Through Realistic Photonic Crystals
  Optica Advanced Photonics Congress, paper JTu2A.15, 2022
  doi.org/10.1364/BGPPM.2022.JTu2A.15

• Lars J. Corbijn van Willenswaard, Jens Wehner, Nicolas Renaud, Matthias Schlottbom, Peter Cloetens, Jaap J.W. van der Vegt, Willem L. Vos
  Simulating physics of tomographically reconstructed photonic crystals.
  Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, IEEE, 2021
  doi: 10.1109/CLEO/Europe-EQEC52157.2021.9541628

• Bertrand Fleurianne, Schlottbom Matthias, Starke Gerhard
  Numerical Analysis of Electromagnetic Problems
  Oberwolfach Rep. 16 (2021), pages 895-929
  doi: 10.14760/OWR-2021-16

• Matthias Schlottbom
  Towards a metriplectic structure for radiative transfer equations.
  Oberwolfach Rep. 16, p. 918-920 (2021).
  doi: 10.14760/OWR-2021-16

• Matthias Schlottbom, Advisor: Herbert Egger
  On Forward and Inverse Models in Optical Tomography.
  Doctoral Thesis, RWTH Aachen 2011. link

• Matthias Schlottbom, Advisor: Heiko von der Mosel
  C2,α-a-priori Abschätzungen und ein Existenzsatz für harmonische Abbildungen mit Finsler'schem Urbild.
  Diploma Thesis, RWTH Aachen, 2008. pdf

• Christian Bagh, Thomas Bedbur, Michael Dahmen, Jan Jongen, Tobias Hermes, Matthias Schlottbom, Advisor: Heiko von der Mosel
  Evolution von Kurven unter dem Curve Shortening Flow und dem Elastic Flow.
  Project Work, RWTH Aachen, 2006. pdf