Preprints

Journal Publications

  1. 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
  2. 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
  3. 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
  4. 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
  5. 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
  6. 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
  7. 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
  8. 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
  9. 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
  10. 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
  11. 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
  12. 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
  13. 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
  14. 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
  15. 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
  16. 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
  17. 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
  18. 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
  19. 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
  20. 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
  21. 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
  22. 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
  23. 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
  24. 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
  25. 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
  26. 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
  27. 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
  28. 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
  29. 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
  30. 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
  31. 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
  32. 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

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