Martin Frank - RankMe

40 papers A* 1Journal 37Unranked 2

Year	Rank	Type	Title / Venue / Authors
2025	J	`jnl`	OpenLB-UQ: An Uncertainty Quantification Framework for Incompressible Fluid Flow Simulations. CoRR Mingliang Zhong, Adrian Kummerländer, Shota Ito, Mathias J. Krause, Martin Frank, Stephan Simonis
2025	J	`jnl`	Structure-preserving neural networks for the regularized entropy-based closure of a linear, kinetic, radiative transport equation. J. Comput. Phys. Steffen Schotthöfer, M. Paul Laiu, Martin Frank, Cory D. Hauck
2025	J	`jnl`	Uncertain data assimilation for urban wind flow simulations with OpenLB-UQ. CoRR Mingliang Zhong, Dennis Teutscher, Adrian Kummerländer, Mathias J. Krause, Martin Frank, Stephan Simonis
2024	J	`jnl`	A stochastic Galerkin lattice Boltzmann method for incompressible fluid flows with uncertainties. J. Comput. Phys. Mingliang Zhong, Tianbai Xiao, Mathias J. Krause, Martin Frank, Stephan Simonis
2024	J	`jnl`	Structure-Preserving Operator Learning: Modeling the Collision Operator of Kinetic Equations. CoRR Jae Yong Lee, Steffen Schotthöfer, Tianbai Xiao, Sebastian Krumscheid, Martin Frank
2024	J	`jnl`	Structure-preserving neural networks for the regularized entropy-based closure of the Boltzmann moment system. CoRR Steffen Schotthöfer, M. Paul Laiu, Martin Frank, Cory D. Hauck
2023	J	`jnl`	A Flux Reconstruction Stochastic Galerkin Scheme for Hyperbolic Conservation Laws. J. Sci. Comput. Tianbai Xiao, Jonas Kusch, Julian Koellermeier, Martin Frank
2023	J	`jnl`	Constructing relaxation systems for lattice Boltzmann methods. Appl. Math. Lett. Stephan Simonis, Martin Frank, Mathias J. Krause
2023	J	`jnl`	Implicit propagation of directly addressed grids in lattice Boltzmann methods. Concurr. Comput. Pract. Exp. Adrian Kummerländer, Márcio Dorn, Martin Frank, Mathias J. Krause
2023	J	`jnl`	Multivariate error modeling and uncertainty quantification using importance (re-)weighting for Monte Carlo simulations in particle transport. J. Comput. Phys. Pia Stammer, Lucas Burigo, Oliver Jäkel, Martin Frank, Niklas Wahl
2023	J	`jnl`	Predicting continuum breakdown with deep neural networks. J. Comput. Phys. Tianbai Xiao, Steffen Schotthöfer, Martin Frank
2023	J	`jnl`	RelaxNet: A structure-preserving neural network to approximate the Boltzmann collision operator. J. Comput. Phys. Tianbai Xiao, Martin Frank
2022	J	`jnl`	A realizable filtered intrusive polynomial moment method. J. Comput. Appl. Math. Graham W. Alldredge, Martin Frank, Jonas Kusch, Ryan G. McClarren
2022	J	`jnl`	Constructing relaxation systems for lattice Boltzmann methods. CoRR Stephan Simonis, Martin Frank, Mathias J. Krause
2022	J	`jnl`	Neural network-based, structure-preserving entropy closures for the Boltzmann moment system. CoRR Steffen Schotthöfer, Tianbai Xiao, Martin Frank, Cory D. Hauck
2022	A*	`conf`	Structure Preserving Neural Networks: A Case Study in the Entropy Closure of the Boltzmann Equation. ICML Steffen Schotthöfer, Tianbai Xiao, Martin Frank, Cory D. Hauck
2021	J	`jnl`	A Realizable Filtered Intrusive Polynomial Moment Method. CoRR Graham W. Alldredge, Martin Frank, Jonas Kusch, Ryan G. McClarren
2021	J	`jnl`	A stochastic kinetic scheme for multi-scale flow transport with uncertainty quantification. J. Comput. Phys. Tianbai Xiao, Martin Frank
2021	J	`jnl`	A stochastic kinetic scheme for multi-scale plasma transport with uncertainty quantification. J. Comput. Phys. Tianbai Xiao, Martin Frank
2021	J	`jnl`	A structure-preserving surrogate model for the closure of the moment system of the Boltzmann equation using convex deep neural networks. CoRR Steffen Schotthöfer, Tianbai Xiao, Martin Frank, Cory D. Hauck
2021	J	`jnl`	Dynamical low-rank approximation for Burgers' equation with uncertainty. CoRR Jonas Kusch, Gianluca Ceruti, Lukas Einkemmer, Martin Frank
2021	J	`jnl`	On the convergence of the regularized entropy-based moment method for kinetic equations. CoRR Graham W. Alldredge, Martin Frank, Jan Giesselmann
2021	J	`jnl`	Using neural networks to accelerate the solution of the Boltzmann equation. J. Comput. Phys. Tianbai Xiao, Martin Frank
2020	J	`jnl`	A low-rank method for two-dimensional time-dependent radiation transport calculations. J. Comput. Phys. Zhuogang Peng, Ryan G. McClarren, Martin Frank
2020	J	`jnl`	A structured approach to the construction of stable linear Lattice Boltzmann collision operator. Comput. Math. Appl. Philipp Otte, Martin Frank
2020	J	`jnl`	Filtered stochastic Galerkin methods for hyperbolic equations. J. Comput. Phys. Jonas Kusch, Ryan G. McClarren, Martin Frank
2020	J	`jnl`	Intrusive acceleration strategies for uncertainty quantification for hyperbolic systems of conservation laws. J. Comput. Phys. Jonas Kusch, Jannick Wolters, Martin Frank
2020	—	`conf`	Massively Parallel Stencil Strategies for Radiation Transport Moment Model Simulations. ICCS (7) Marco Berghoff, Martin Frank, Benjamin Seibold
2020	J	`jnl`	Robust Mathematical formulation and Probabilistic Description of Agent-based Computational Economic Market Models. Adv. Complex Syst. Maximilian Beikirch, Simon Cramer, Martin Frank, Philipp Otte, Emma Pabich, Torsten Trimborn
2019	J	`jnl`	A Positive Asymptotic-Preserving Scheme for Linear Kinetic Transport Equations. SIAM J. Sci. Comput. M. Paul Laiu, Martin Frank, Cory D. Hauck
2019	J	`jnl`	A Regularized Entropy-Based Moment Method for Kinetic Equations. SIAM J. Appl. Math. Graham W. Alldredge, Martin Frank, Cory D. Hauck
2019	J	`jnl`	Ray Effect Mitigation for the Discrete Ordinates Method Using Artificial Scattering. CoRR Martin Frank, Jonas Kusch, Thomas Camminady, Cory D. Hauck
2019	J	`jnl`	Ray effect mitigation for the discrete ordinates method through quadrature rotation. J. Comput. Phys. Thomas Camminady, Martin Frank, Kerstin Küpper, Jonas Kusch
2018	J	`jnl`	A comparative study of limiting strategies in discontinuous Galerkin schemes for the M1 model of radiation transport. J. Comput. Appl. Math. Prince Chidyagwai, Martin Frank, Florian Schneider, Benjamin Seibold
2014	J	`jnl`	Higher Order Mixed-Moment Approximations for the Fokker-Planck Equation in One Space Dimension. SIAM J. Appl. Math. Florian Schneider, Graham W. Alldredge, Martin Frank, Axel Klar
2012	J	`jnl`	A realizability-preserving discontinuous Galerkin method for the M1 model of radiative transfer. J. Comput. Phys. Edgar Olbrant, Cory D. Hauck, Martin Frank
2007	J	`jnl`	A Fast and Accurate Moment Method for the Fokker-Planck Equation and Applications to Electron Radiotherapy. SIAM J. Appl. Math. Martin Frank, Hartmut Hensel, Axel Klar
2007	J	`jnl`	Time-dependent simplified P J. Comput. Phys. Martin Frank, Axel Klar, Edward W. Larsen, Shugo Yasuda
2007	—	`conf`	Toward Fast and Accurate Deterministic Methods for Dose Calculation in Electron Radiotherapy. IMECS Martin Frank, Hartmut Hensel, Axel Klar
2006	J	`jnl`	Partial moment entropy approximation to radiative heat transfer. J. Comput. Phys. Martin Frank, Bruno Dubroca, Axel Klar