Low-Rank Tensor Product Richardson Iteration for Radiative Transfer in Plane-Parallel Geometry.

Matthias Schlottbom https://zbmath.org/authors/?q=ai:schlottbom.matthias https://mathgenealogy.org/id.php?id=170633 https://orcid.org/0000-0002-2527-6498 https://www.wikidata.org/entity/Q61066382

Markus Bachmayr Riccardo Bardin Matthias Schlottbom Low-Rank Tensor Product Richardson Iteration for Radiative Transfer in Plane-Parallel Geometry. 2026 277-302 64 SIAM J. Numer. Anal. 1 https://doi.org/10.1137/24m1648065 db/journals/siamnum/siamnum64.html#BachmayrBS26 streams/journals/siamnum

Fernando Henriquez Matthias Schlottbom A Model Order Reduction Method for Seismic Applications Using the Laplace Transform. 2026 February abs/2602.15517 CoRR https://doi.org/10.48550/arXiv.2602.15517 db/journals/corr/corr2602.html#abs-2602-15517 streams/journals/corr

Kaifang Liu Matthias Schlottbom Jaap J. W. van der Vegt Yan Xu Kreiss stability analysis of Hagstrom-Warburton nonreflecting boundary conditions for the first-order time-dependent Maxwell equations. 2026 June abs/2606.22754 CoRR https://doi.org/10.48550/arXiv.2606.22754 db/journals/corr/corr2606.html#abs-2606-22754 streams/journals/corr

Vincent Bosboom Herbert Egger Matthias Schlottbom Analysis and Systematic Discretization of a Fokker-Planck Equation with Lorentz Force. 807-822 2025 25 Comput. Methods Appl. Math. 4 https://doi.org/10.1515/cmam-2025-0061 db/journals/cmam/cmam25.html#BosboomES25 streams/journals/cmam

Riccardo Bardin Matthias Schlottbom On Accelerated Iterative Schemes for Anisotropic Radiative Transfer Using Residual Minimization. 801- 2025 47 SIAM J. Sci. Comput. 4 https://doi.org/10.1137/24m1678398 db/journals/siamsc/siamsc47.html#BardinS25 streams/journals/siamsc

Rhys Hawkins Muhammad Hamza Khalid Matthias Schlottbom Kathrin Smetana Model Order Reduction for Seismic Applications. 1045- 2025 47 SIAM J. Sci. Comput. 5 https://doi.org/10.1137/24m1667737 db/journals/siamsc/siamsc47.html#HawkinsKSS25 streams/journals/siamsc

Riccardo Bardin Fleurianne Bertrand Olena Palii Matthias Schlottbom A Phase-Space Discontinuous Galerkin Scheme for the Radiative Transfer Equation in Slab Geometry. 557-576 2024 July 24 Comput. Methods Appl. Math. 3 https://doi.org/10.1515/cmam-2023-0090 db/journals/cmam/cmam24.html#BardinBPS24 streams/journals/cmam

Markus Bachmayr Riccardo Bardin Matthias Schlottbom Low-rank tensor product Richardson iteration for radiative transfer in plane-parallel geometry. 2024 abs/2403.14229 CoRR https://doi.org/10.48550/arXiv.2403.14229 db/journals/corr/corr2403.html#abs-2403-14229

Rhys Hawkins Muhammad Hamza Khalid Matthias Schlottbom Kathrin Smetana Model order reduction for seismic applications. 2024 abs/2406.07207 CoRR https://doi.org/10.48550/arXiv.2406.07207 db/journals/corr/corr2406.html#abs-2406-07207

Riccardo Bardin Matthias Schlottbom On accelerated iterative schemes for anisotropic radiative transfer using residual minimization. 2024 abs/2407.13356 CoRR https://doi.org/10.48550/arXiv.2407.13356 db/journals/corr/corr2407.html#abs-2407-13356 streams/journals/corr

Elena Giammatteo Alexander Heinlein Philip Lukas Lederer Matthias Schlottbom High-order discretized ACMS method for the simulation of finite-size two-dimensional photonic crystals. 2024 abs/2410.07723 CoRR https://doi.org/10.48550/arXiv.2410.07723 db/journals/corr/corr2410.html#abs-2410-07723 streams/journals/corr

Elena Giammatteo Alexander Heinlein Matthias Schlottbom An extension of the approximate component mode synthesis method to the heterogeneous Helmholtz equation. 2023 abs/2303.06671 CoRR https://doi.org/10.48550/arXiv.2303.06671 db/journals/corr/corr2303.html#abs-2303-06671

Vincent Bosboom Herbert Egger Matthias Schlottbom Analysis and systematic discretization of a Fokker-Planck equation with Lorentz force. 2023 abs/2304.01937 CoRR https://doi.org/10.48550/arXiv.2304.01937 db/journals/corr/corr2304.html#abs-2304-01937

Marek Kozon Rutger Schrijver Matthias Schlottbom Jaap J. W. van der Vegt Willem L. Vos Unsupervised Machine Learning to Classify the Confinement of Waves in Periodic Superstructures. 2023 abs/2304.11901 CoRR https://doi.org/10.48550/arXiv.2304.11901 db/journals/corr/corr2304.html#abs-2304-11901

Jürgen Dölz Olena Palii Matthias Schlottbom On Robustly Convergent and Efficient Iterative Methods for Anisotropic Radiative Transfer. 94 2022 90 J. Sci. Comput. 3 https://doi.org/10.1007/s10915-021-01757-9 db/journals/jscic/jscic90.html#DolzPS22

Matthias Schlottbom Jürgen Dölz Olena Palii Script underlying the paper "On Robustly Convergent and Efficient Iterative Methods for Anisotropic Radiative Transfer". 4TU.Federation 2022 August https://doi.org/10.4121/20651739.V1 streams/repo/4tu

Olena Palii Matthias Schlottbom A phase-space discontinuous Galerkin approximation for the radiative transfer equation in slab geometry. 2022 abs/2201.06104 CoRR https://arxiv.org/abs/2201.06104 db/journals/corr/corr2201.html#abs-2201-06104

Jan-Frederik Pietschmann Matthias Schlottbom Data driven gradient flows. 2022 abs/2205.12172 CoRR https://doi.org/10.48550/arXiv.2205.12172 db/journals/corr/corr2205.html#abs-2205-12172

Jürgen Dölz Herbert Egger Matthias Schlottbom A model reduction approach for inverse problems with operator valued data. 889-917 2021 148 Numerische Mathematik 4 https://doi.org/10.1007/s00211-021-01224-5 db/journals/nm/nm148.html#DolzES21

Jürgen Dölz Olena Palii Matthias Schlottbom On robustly convergent and efficient iterative methods for anisotropic radiative transfer. 2021 abs/2102.09038 CoRR https://arxiv.org/abs/2102.09038 db/journals/corr/corr2102.html#abs-2102-09038

Olena Palii Matthias Schlottbom On a convergent DSA preconditioned source iteration for a DGFEM method for radiative transfer. 3366-3377 2020 79 Comput. Math. Appl. 12 https://doi.org/10.1016/j.camwa.2020.02.002 db/journals/cma/cma79.html#PaliiS20

Jürgen Dölz Herbert Egger Matthias Schlottbom A model reduction approach for inverse problems with operator valued data. 2020 abs/2004.11827 CoRR https://arxiv.org/abs/2004.11827 db/journals/corr/corr2004.html#abs-2004-11827

Kaifang Liu Dietmar Gallistl Matthias Schlottbom Jaap J. W. van der Vegt Analysis of a mixed discontinuous Galerkin method for the time-harmonic Maxwell equations with minimal smoothness requirements. 2020 abs/2009.06519 CoRR https://arxiv.org/abs/2009.06519 db/journals/corr/corr2009.html#abs-2009-06519

Herbert Egger Matthias Schlottbom A Perfectly Matched Layer Approach for P<sub>N</sub>-Approximations in Radiative Transfer. 2166-2188 2019 57 SIAM J. Numer. Anal. 5 https://doi.org/10.1137/18M1172521 db/journals/siamnum/siamnum57.html#EggerS19

Olena Palii Matthias Schlottbom On a convergent DSA preconditioned source iteration for a DGFEM method for radiative transfer. 2019 abs/1907.07399 CoRR http://arxiv.org/abs/1907.07399 db/journals/corr/corr1907.html#abs-1907-07399

Martin Burger 0001 Ole Løseth Elvetun Matthias Schlottbom Analysis of the Diffuse Domain Method for Second Order Elliptic Boundary Value Problems. 627-674 2017 17 Found. Comput. Math. 3 https://doi.org/10.1007/s10208-015-9292-6 db/journals/focm/focm17.html#BurgerES17

Herbert Egger Matthias Schlottbom A class of Galerkin Schemes for Time-Dependent Radiative Transfer. 3577-3599 2016 54 SIAM J. Numer. Anal. 6 https://doi.org/10.1137/15M1051336 db/journals/siamnum/siamnum54.html#EggerS16

Herbert Egger Matthias Schlottbom Numerical methods for parameter identification in stationary radiative transfer. 67-83 2015 62 Comput. Optim. Appl. 1 https://doi.org/10.1007/s10589-014-9657-9 db/journals/coap/coap62.html#EggerS15

Herbert Egger Jan-Frederik Pietschmann Matthias Schlottbom Identification of Chemotaxis Models with Volume-Filling. 275-288 2015 75 SIAM J. Appl. Math. 2 https://doi.org/10.1137/140967222 db/journals/siamam/siamam75.html#EggerPS15

Herbert Egger Matthias Schlottbom Diffusion asymptotics for linear transport with low regularity. 365-377 2014 89 Asymptot. Anal. 3-4 https://doi.org/10.3233/ASY-141235 db/journals/asy/asy89.html#EggerS14

Herbert Egger Matthias Schlottbom Analysis and Regularization of Problems in Diffuse Optical Tomography. 1934-1948 2010 42 SIAM J. Math. Anal. 5 https://doi.org/10.1137/090781590 db/journals/siamma/siamma42.html#EggerS10

Markus Bachmayr Riccardo Bardin Fleurianne Bertrand Vincent Bosboom Martin Burger 0001 Jürgen Dölz Herbert Egger Ole Løseth Elvetun Dietmar Gallistl Elena Giammatteo Rhys Hawkins Alexander Heinlein Fernando Henriquez Muhammad Hamza Khalid Marek Kozon Philip L. LedererPhilip Lukas Lederer Kaifang Liu Olena Palii Jan-Frederik Pietschmann Rutger Schrijver Kathrin Smetana Jaap J. W. van der Vegt Willem L. Vos Yan Xu