Martin Frank
Orcid: 0000-0001-8562-6982Affiliations:
- Karlsruhe Institute of Technology, Eggenstein-Leopoldshafen, Germany
According to our database1,
Martin Frank
authored at least 38 papers
between 2006 and 2025.
Collaborative distances:
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Bibliography
2025
CoRR, August, 2025
OpenLB-UQ: An Uncertainty Quantification Framework for Incompressible Fluid Flow Simulations.
CoRR, August, 2025
Structure-preserving neural networks for the regularized entropy-based closure of a linear, kinetic, radiative transport equation.
J. Comput. Phys., 2025
2024
A stochastic Galerkin lattice Boltzmann method for incompressible fluid flows with uncertainties.
J. Comput. Phys., 2024
Structure-preserving neural networks for the regularized entropy-based closure of the Boltzmann moment system.
CoRR, 2024
Structure-Preserving Operator Learning: Modeling the Collision Operator of Kinetic Equations.
CoRR, 2024
2023
J. Sci. Comput., April, 2023
RelaxNet: A structure-preserving neural network to approximate the Boltzmann collision operator.
J. Comput. Phys., 2023
Multivariate error modeling and uncertainty quantification using importance (re-)weighting for Monte Carlo simulations in particle transport.
J. Comput. Phys., 2023
Concurr. Comput. Pract. Exp., 2023
Appl. Math. Lett., 2023
2022
J. Comput. Appl. Math., 2022
Neural network-based, structure-preserving entropy closures for the Boltzmann moment system.
CoRR, 2022
Structure Preserving Neural Networks: A Case Study in the Entropy Closure of the Boltzmann Equation.
Proceedings of the International Conference on Machine Learning, 2022
2021
J. Comput. Phys., 2021
A stochastic kinetic scheme for multi-scale flow transport with uncertainty quantification.
J. Comput. Phys., 2021
A stochastic kinetic scheme for multi-scale plasma transport with uncertainty quantification.
J. Comput. Phys., 2021
A structure-preserving surrogate model for the closure of the moment system of the Boltzmann equation using convex deep neural networks.
CoRR, 2021
On the convergence of the regularized entropy-based moment method for kinetic equations.
CoRR, 2021
2020
A low-rank method for two-dimensional time-dependent radiation transport calculations.
J. Comput. Phys., 2020
Intrusive acceleration strategies for uncertainty quantification for hyperbolic systems of conservation laws.
J. Comput. Phys., 2020
J. Comput. Phys., 2020
A structured approach to the construction of stable linear Lattice Boltzmann collision operator.
Comput. Math. Appl., 2020
Robust Mathematical formulation and Probabilistic Description of Agent-based Computational Economic Market Models.
Adv. Complex Syst., 2020
Massively Parallel Stencil Strategies for Radiation Transport Moment Model Simulations.
Proceedings of the Computational Science - ICCS 2020, 2020
2019
SIAM J. Sci. Comput., 2019
SIAM J. Appl. Math., 2019
J. Comput. Phys., 2019
CoRR, 2019
2018
A comparative study of limiting strategies in discontinuous Galerkin schemes for the M1 model of radiation transport.
J. Comput. Appl. Math., 2018
2014
Higher Order Mixed-Moment Approximations for the Fokker-Planck Equation in One Space Dimension.
SIAM J. Appl. Math., 2014
2012
A realizability-preserving discontinuous Galerkin method for the M1 model of radiative transfer.
J. Comput. Phys., 2012
2007
A Fast and Accurate Moment Method for the Fokker-Planck Equation and Applications to Electron Radiotherapy.
SIAM J. Appl. Math., 2007
Time-dependent simplified P<sub>N</sub> approximation to the equations of radiative transfer.
J. Comput. Phys., 2007
Toward Fast and Accurate Deterministic Methods for Dose Calculation in Electron Radiotherapy.
Proceedings of the International MultiConference of Engineers and Computer Scientists 2007, 2007
2006
J. Comput. Phys., 2006