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ORCIDMartin Frank 0004
Person information
- affiliation: Karlsruhe Institute of Technology, Eggenstein-Leopoldshafen, Germany
Other persons with the same name
- Martin Frank — disambiguation page
- Martin Frank 0001
![[0000-0001-9640-4277]](https://devdomain4test.ir/img/orcid-mark.12x12.png "0000-0001-9640-4277")
— Friedrich-Alexander-Universität Erlangen-Nürnberg, Erlangen, Germany - Martin Frank 0002 — Biognos AB, Goteborg, Sweden
- Martin Frank 0003 — Klinik Donaustadt, Vienna, Austria
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2020 – today
- 2025
[j26]Steffen Schotthöfer, M. Paul Laiu, Martin Frank, Cory D. Hauck:
Structure-preserving neural networks for the regularized entropy-based closure of a linear, kinetic, radiative transport equation. J. Comput. Phys. 533: 113967 (2025)- [i11]Mingliang Zhong, Adrian Kummerländer, Shota Ito, Mathias J. Krause, Martin Frank, Stephan Simonis:
OpenLB-UQ: An Uncertainty Quantification Framework for Incompressible Fluid Flow Simulations. CoRR abs/2508.13867 (2025) - [i10]Mingliang Zhong, Dennis Teutscher, Adrian Kummerländer, Mathias J. Krause, Martin Frank, Stephan Simonis:
Uncertain data assimilation for urban wind flow simulations with OpenLB-UQ. CoRR abs/2508.18202 (2025) - 2024
- [j25]Mingliang Zhong, Tianbai Xiao, Mathias J. Krause, Martin Frank, Stephan Simonis:
A stochastic Galerkin lattice Boltzmann method for incompressible fluid flows with uncertainties. J. Comput. Phys. 517: 113344 (2024) - [i9]Jae Yong Lee, Steffen Schotthöfer, Tianbai Xiao, Sebastian Krumscheid, Martin Frank:
Structure-Preserving Operator Learning: Modeling the Collision Operator of Kinetic Equations. CoRR abs/2402.16613 (2024) - [i8]Steffen Schotthöfer, M. Paul Laiu, Martin Frank, Cory D. Hauck:
Structure-preserving neural networks for the regularized entropy-based closure of the Boltzmann moment system. CoRR abs/2404.14312 (2024) - 2023
- [j24]Stephan Simonis, Martin Frank, Mathias J. Krause:
Constructing relaxation systems for lattice Boltzmann methods. Appl. Math. Lett. 137: 108484 (2023) - [j23]Adrian Kummerländer, Márcio Dorn, Martin Frank, Mathias J. Krause:
Implicit propagation of directly addressed grids in lattice Boltzmann methods. Concurr. Comput. Pract. Exp. 35(8) (2023) - [j22]Pia Stammer, Lucas Burigo, Oliver Jäkel, Martin Frank, Niklas Wahl:
Multivariate error modeling and uncertainty quantification using importance (re-)weighting for Monte Carlo simulations in particle transport. J. Comput. Phys. 473: 111725 (2023) - [j21]Tianbai Xiao, Steffen Schotthöfer, Martin Frank:
Predicting continuum breakdown with deep neural networks. J. Comput. Phys. 489: 112278 (2023) - [j20]Tianbai Xiao, Martin Frank:
RelaxNet: A structure-preserving neural network to approximate the Boltzmann collision operator. J. Comput. Phys. 490: 112317 (2023) - [j19]Tianbai Xiao, Jonas Kusch, Julian Koellermeier, Martin Frank:
A Flux Reconstruction Stochastic Galerkin Scheme for Hyperbolic Conservation Laws. J. Sci. Comput. 95(1): 18 (2023) - 2022
- [j18]Graham W. Alldredge, Martin Frank, Jonas Kusch, Ryan G. McClarren:
A realizable filtered intrusive polynomial moment method. J. Comput. Appl. Math. 407: 114055 (2022) - [c3]Steffen Schotthöfer, Tianbai Xiao, Martin Frank, Cory D. Hauck:
Structure Preserving Neural Networks: A Case Study in the Entropy Closure of the Boltzmann Equation. ICML 2022: 19406-19433 - [i7]Steffen Schotthöfer, Tianbai Xiao, Martin Frank, Cory D. Hauck:
Neural network-based, structure-preserving entropy closures for the Boltzmann moment system. CoRR abs/2201.10364 (2022) - [i6]Stephan Simonis, Martin Frank, Mathias J. Krause:
Constructing relaxation systems for lattice Boltzmann methods. CoRR abs/2208.14976 (2022) - 2021
- [j17]Tianbai Xiao, Martin Frank:
A stochastic kinetic scheme for multi-scale plasma transport with uncertainty quantification. J. Comput. Phys. 432: 110139 (2021) - [j16]Tianbai Xiao, Martin Frank:
A stochastic kinetic scheme for multi-scale flow transport with uncertainty quantification. J. Comput. Phys. 437: 110337 (2021) - [j15]Tianbai Xiao, Martin Frank:
Using neural networks to accelerate the solution of the Boltzmann equation. J. Comput. Phys. 443: 110521 (2021) - [i5]Jonas Kusch, Gianluca Ceruti, Lukas Einkemmer, Martin Frank:
Dynamical low-rank approximation for Burgers' equation with uncertainty. CoRR abs/2105.04358 (2021) - [i4]Graham W. Alldredge, Martin Frank, Jonas Kusch, Ryan G. McClarren:
A Realizable Filtered Intrusive Polynomial Moment Method. CoRR abs/2105.07473 (2021) - [i3]Graham W. Alldredge, Martin Frank, Jan Giesselmann:
On the convergence of the regularized entropy-based moment method for kinetic equations. CoRR abs/2105.10274 (2021) - [i2]Steffen Schotthöfer, Tianbai Xiao, Martin Frank, Cory D. Hauck:
A structure-preserving surrogate model for the closure of the moment system of the Boltzmann equation using convex deep neural networks. CoRR abs/2106.09445 (2021) - 2020
- [j14]Maximilian Beikirch, Simon Cramer, Martin Frank, Philipp Otte, Emma Pabich, Torsten Trimborn:
Robust Mathematical formulation and Probabilistic Description of Agent-based Computational Economic Market Models. Adv. Complex Syst. 23(6): 2050017:1-2050017:41 (2020) - [j13]Philipp Otte, Martin Frank:
A structured approach to the construction of stable linear Lattice Boltzmann collision operator. Comput. Math. Appl. 79(5): 1447-1460 (2020) - [j12]Jonas Kusch, Ryan G. McClarren, Martin Frank:
Filtered stochastic Galerkin methods for hyperbolic equations. J. Comput. Phys. 403 (2020) - [j11]Jonas Kusch, Jannick Wolters, Martin Frank:
Intrusive acceleration strategies for uncertainty quantification for hyperbolic systems of conservation laws. J. Comput. Phys. 419: 109698 (2020) - [j10]Zhuogang Peng, Ryan G. McClarren, Martin Frank:
A low-rank method for two-dimensional time-dependent radiation transport calculations. J. Comput. Phys. 421: 109735 (2020) - [c2]Marco Berghoff, Martin Frank, Benjamin Seibold:
Massively Parallel Stencil Strategies for Radiation Transport Moment Model Simulations. ICCS (7) 2020: 242-256
2010 – 2019
- 2019
- [j9]Thomas Camminady, Martin Frank, Kerstin Küpper, Jonas Kusch:
Ray effect mitigation for the discrete ordinates method through quadrature rotation. J. Comput. Phys. 382: 105-123 (2019) - [j8]Graham W. Alldredge, Martin Frank, Cory D. Hauck:
A Regularized Entropy-Based Moment Method for Kinetic Equations. SIAM J. Appl. Math. 79(5): 1627-1653 (2019) - [j7]M. Paul Laiu, Martin Frank, Cory D. Hauck:
A Positive Asymptotic-Preserving Scheme for Linear Kinetic Transport Equations. SIAM J. Sci. Comput. 41(3): A1500-A1526 (2019) - [i1]Martin Frank, Jonas Kusch, Thomas Camminady, Cory D. Hauck:
Ray Effect Mitigation for the Discrete Ordinates Method Using Artificial Scattering. CoRR abs/1911.08801 (2019) - 2018
- [j6]Prince Chidyagwai, Martin Frank, Florian Schneider, Benjamin Seibold:
A comparative study of limiting strategies in discontinuous Galerkin schemes for the M1 model of radiation transport. J. Comput. Appl. Math. 342: 399-418 (2018) - 2014
- [j5]Florian Schneider, Graham W. Alldredge, Martin Frank, Axel Klar:
Higher Order Mixed-Moment Approximations for the Fokker-Planck Equation in One Space Dimension. SIAM J. Appl. Math. 74(4): 1087-1114 (2014) - 2012
- [j4]Edgar Olbrant, Cory D. Hauck, Martin Frank:
A realizability-preserving discontinuous Galerkin method for the M1 model of radiative transfer. J. Comput. Phys. 231(17): 5612-5639 (2012)
2000 – 2009
- 2007
- [j3]Martin Frank, Axel Klar, Edward W. Larsen, Shugo Yasuda:
Time-dependent simplified PN approximation to the equations of radiative transfer. J. Comput. Phys. 226(2): 2289-2305 (2007) - [j2]Martin Frank, Hartmut Hensel, Axel Klar:
A Fast and Accurate Moment Method for the Fokker-Planck Equation and Applications to Electron Radiotherapy. SIAM J. Appl. Math. 67(2): 582-603 (2007) - [c1]Martin Frank, Hartmut Hensel, Axel Klar:
Toward Fast and Accurate Deterministic Methods for Dose Calculation in Electron Radiotherapy. IMECS 2007: 2361-2365 - 2006
- [j1]Martin Frank, Bruno Dubroca, Axel Klar:
Partial moment entropy approximation to radiative heat transfer. J. Comput. Phys. 218(1): 1-18 (2006)
Coauthor Index
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