Preprints

• Markus Bachmayr, Riccardo Bardin, Matthias Schlottbom
  Low-rank tensor product Richardson iteration for radiative transfer in plane-parallel geometry.
  arxiv
• Vincent Bosboom, Herbert Egger, Matthias Schlottbom
  Analysis and systematic discretization of a Fokker-Planck equation with Lorentz force.
  arxiv
• Elena Giammatteo, Alexander Heinlein, Matthias Schlottbom
  An extension of the approximate component mode synthesis method to the heterogeneous Helmholtz equation.
  arxiv gitHub

Journal Publications

1. 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. 2024
   arxiv
2. 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. accepted doi: 10.1364/OE.519464 arxiv
   
3. 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
4. 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, accepted, 2024
   doi: 10.1515/cmam-2023-0090 arxiv scripts for the paper
5. 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
6. 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
7. 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
8. 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
9. 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
10. 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
11. 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
12. 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
13. 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
14. 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
15. 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
16. 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
17. 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
18. 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
19. 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
20. 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
21. 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
22. 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
23. 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
24. 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
25. 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
26. 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
27. Herbert Egger, Matthias Schlottbom
    An L^p theory for stationary radiative transfer.
    Applicable Analysis, Vol. 93, Issue 6, pp. 1283-1296, 2014.
    doi:10.1080/00036811.2013.826798 pdf arxiv
28. 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
29. 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
30. 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
31. 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
32. 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
33. 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

• 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
  C^2,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