Martin Frank

Publication Activity (10 Years)

Years Active: 1984-2024
Publications (10 Years): 48

Top Topics

Lattice Boltzmann

Structure Preserving

Top Venues

J. Comput. Phys.

SIAM J. Appl. Math.

Publications

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 (2024)
Chinmay Patwardhan, Martin Frank, Jonas Kusch
Asymptotic-preserving and energy stable dynamical low-rank approximation for thermal radiative transfer equations. CoRR (2024)
Martin Frank, Fabian Holzberger, Medeea Horvat, Jan Kirschke, Matthias Mayr, Markus Muhr, Natalia Nebulishvili, Alexander Popp, Julian Schwarting, Barbara I. Wohlmuth
Numerical simulation of endovascular treatment options for cerebral aneurysms. CoRR (2024)
Jae Yong Lee, Steffen Schotthöfer, Tianbai Xiao, Sebastian Krumscheid, Martin Frank
Structure-Preserving Operator Learning: Modeling the Collision Operator of Kinetic Equations. CoRR (2024)
Stephan Simonis, Martin Frank, Mathias J. Krause
Constructing relaxation systems for lattice Boltzmann methods. Appl. Math. Lett. 137 (2023)
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)
Tianbai Xiao, Martin Frank
RelaxNet: A structure-preserving neural network to approximate the Boltzmann collision operator. J. Comput. Phys. 490 (2023)
Tianbai Xiao, Jonas Kusch, Julian Koellermeier, Martin Frank
A Flux Reconstruction Stochastic Galerkin Scheme for Hyperbolic Conservation Laws. J. Sci. Comput. 95 (1) (2023)
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 (2023)
Tianbai Xiao, Steffen Schotthöfer, Martin Frank
Predicting continuum breakdown with deep neural networks. J. Comput. Phys. 489 (2023)
Stephan Simonis, Martin Frank, Mathias J. Krause
Constructing relaxation systems for lattice Boltzmann methods. CoRR (2022)
Jonas Kusch, Benjamin Whewell, Ryan G. McClarren, Martin Frank
A low-rank power iteration scheme for neutron transport criticality problems. CoRR (2022)
Jonas Kusch, Benjamin Whewell, Ryan G. McClarren, Martin Frank
A low-rank power iteration scheme for neutron transport criticality problems. J. Comput. Phys. 470 (2022)
Graham W. Alldredge, Martin Frank, Jonas Kusch, Ryan G. McClarren
A realizable filtered intrusive polynomial moment method. J. Comput. Appl. Math. 407 (2022)
Steffen Schotthöfer, Tianbai Xiao, Martin Frank, Cory D. Hauck
Neural network-based, structure-preserving entropy closures for the Boltzmann moment system. CoRR (2022)
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)
Tianbai Xiao, Martin Frank
Using neural networks to accelerate the solution of the Boltzmann equation. J. Comput. Phys. 443 (2021)
Tianbai Xiao, Martin Frank
A stochastic kinetic scheme for multi-scale flow transport with uncertainty quantification. J. Comput. Phys. 437 (2021)
Jonas Kusch, Gianluca Ceruti, Lukas Einkemmer, Martin Frank
Dynamical low-rank approximation for Burgers' equation with uncertainty. CoRR (2021)
Graham W. Alldredge, Martin Frank, Jonas Kusch, Ryan G. McClarren
A Realizable Filtered Intrusive Polynomial Moment Method. CoRR (2021)
Tianbai Xiao, Martin Frank
A stochastic kinetic scheme for multi-scale plasma transport with uncertainty quantification. J. Comput. Phys. 432 (2021)
Graham W. Alldredge, Martin Frank, Jan Giesselmann
On the convergence of the regularized entropy-based moment method for kinetic equations. CoRR (2021)
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 (2021)
Gayatri Caklovic, Robert Speck, Martin Frank
A parallel implementation of a diagonalization-based parallel-in-time integrator. CoRR (2021)
Zhuogang Peng, Ryan G. McClarren, Martin Frank
A low-rank method for two-dimensional time-dependent radiation transport calculations. J. Comput. Phys. 421 (2020)
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) (2020)
Jonas Kusch, Jannick Wolters, Martin Frank
Intrusive acceleration strategies for uncertainty quantification for hyperbolic systems of conservation laws. J. Comput. Phys. 419 (2020)
Martin Frank, Fabian Lurz, Robert Weigel, Alexander Koelpin
Universal low-cost Transmitarray Antenna Design at 61 GHz for Beam Steering with different Feed Antennas. WSA (2020)
Marco Berghoff, Martin Frank, Benjamin Seibold
Massively Parallel Stencil Strategies for Radiation Transport Moment Model Simulations. ICCS (7) (2020)
Philipp Otte, Martin Frank
A structured approach to the construction of stable linear Lattice Boltzmann collision operator. Comput. Math. Appl. 79 (5) (2020)
Marco Berghoff, Martin Frank, Benjamin Seibold
Massively Parallel Stencil Strategies for Radiation Transport Moment Model Simulations. CoRR (2020)
Martin Frank, Fabian Lurz, Markus Kempf, Jürgen Röber, Robert Weigel, Alexander Koelpin
Miniaturized Ultra-Wideband Antenna Design for Human Implants. RWS (2020)
Jonas Kusch, Ryan G. McClarren, Martin Frank
Filtered stochastic Galerkin methods for hyperbolic equations. J. Comput. Phys. 403 (2020)
Jonas Kusch, Jannick Wolters, Martin Frank
Intrusive acceleration strategies for Uncertainty Quantification for hyperbolic systems of conservation laws. CoRR (2019)
Michael Böhm, Andreas Bohne-Lang, Martin Frank, Alexander Loß, Miguel A. Rojas-Macias, Thomas Lütteke
Glycosciences.DB: an annotated data collection linking glycomics and proteomics data (2018 update). Nucleic Acids Res. 47 (Database-Issue) (2019)
Martin Frank, Jonas Kusch, Thomas Camminady, Cory D. Hauck
Ray Effect Mitigation for the Discrete Ordinates Method Using Artificial Scattering. CoRR (2019)
Martin Frank, Fabian Lurz, Robert Weigel, Alexander Koelpin
122 GHz Low-cost Substrate Integrated Waveguide based Leaky-Wave Antenna Design. RWS (2019)
Thomas Camminady, Martin Frank, Kerstin Küpper, Jonas Kusch
Ray effect mitigation for the discrete ordinates method through quadrature rotation. J. Comput. Phys. 382 (2019)
Graham W. Alldredge, Martin Frank, Cory D. Hauck
A Regularized Entropy-Based Moment Method for Kinetic Equations. SIAM J. Appl. Math. 79 (5) (2019)
M. Paul Laiu, Martin Frank, Cory D. Hauck
A Positive Asymptotic-Preserving Scheme for Linear Kinetic Transport Equations. SIAM J. Sci. Comput. 41 (3) (2019)
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 (2018)
Martin Frank, Pol Ghesquière, Stefan Kiefl, Robert Weigel, Alexander Koelpin
Design and characterization of antenna arrays in eWLB package for 61 GHz radar applications. RWS (2018)
Teddy Pichard, Graham W. Alldredge, Stéphane Brull, Bruno Dubroca, Martin Frank
Closure: Application to Radiotherapy Dose Simulation. J. Sci. Comput. 71 (1) (2017)
Martin Frank, C. Roeckerrath
Augmenting Mathematics Courses by Problem-Based Learning. Int. J. Eng. Pedagog. 6 (1) (2016)
Pascal Richter, David Laukamp, Levin Gerdes, Martin Frank, Erika Ábrahám
Heliostat Field Layout Optimization with Evolutionary Algorithms. GCAI (2016)
Kerstin Küpper, Martin Frank, Shi Jin
An Asymptotic Preserving Two-dimensional Staggered Grid Method for Multiscale Transport Equations. SIAM J. Numer. Anal. 54 (1) (2016)
Philipp Otte, Martin Frank
Derivation and analysis of Lattice Boltzmann schemes for the linearized Euler equations. Comput. Math. Appl. 72 (2) (2016)
Frédéric Pauer, Katharina Schmidt, Ana Babac, Kathrin Damm, Martin Frank, Johann-Matthias Graf von der Schulenburg
Comparison of different approaches applied in Analytic Hierarchy Process - an example of information needs of patients with rare diseases. BMC Medical Informatics Decis. Mak. 16 (2016)
Martin Frank, Kai Krycki, Edward W. Larsen, Richard Vasques
The Nonclassical Boltzmann Equation and DIffusion-Based Approximations to the Boltzmann Equation. SIAM J. Appl. Math. 75 (3) (2015)
Chaitanya A. K. Koppisetty, Martin Frank, Alexander Lyubartsev, Per-Georg Nyholm
Binding energy calculations for hevein-carbohydrate interactions using expanded ensemble molecular dynamics simulations. J. Comput. Aided Mol. Des. 29 (1) (2015)
Benjamin Seibold, Martin Frank
StaRMAP - A Second Order Staggered Grid Method for Spherical Harmonics Moment Equations of Radiative Transfer. ACM Trans. Math. Softw. 41 (1) (2014)
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) (2014)
Martin Frank, Martin Bachler, Siegfried Wassertheurer, Christopher C. Mayer
Computational Aspects of Models for Minimizing the Effects of Ectopic Beats on Heart Rate Variability. Simul. Notes Eur. 24 (3-4) (2014)
Dominic Springer, Martin Frank, Franz Simmet, Dieter Niederkorn, André Kaup
Spiral search based fast rotation estimation for efficient HEVC compression of navigation video sequences. PCS (2013)
Edgar Olbrant, Edward W. Larsen, Martin Frank, Benjamin Seibold
Asymptotic derivation and numerical investigation of time-dependent simplified PN equations. J. Comput. Phys. 238 (2013)
Chaitanya A. K. Koppisetty, Martin Frank, Graham J. L. Kemp, Per-Georg Nyholm
Computation of Binding Energies Including Their Enthalpy and Entropy Components for Protein-Ligand Complexes Using Support Vector Machines. J. Chem. Inf. Model. 53 (10) (2013)
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) (2012)
Richard C. Barnard, Martin Frank, Michael Herty
Optimal radiotherapy treatment planning using minimum entropy models. Appl. Math. Comput. 219 (5) (2012)
René Ranzinger, Stephan Herget, Claus-Wilhelm von der Lieth, Martin Frank
GlycomeDB - a unified database for carbohydrate structures. Nucleic Acids Res. 39 (Database-Issue) (2011)
Martin Frank, Jens Lang, Matthias Schäfer
Adaptive Finite Element Simulation of the Time-dependent Simplified P N Equations. J. Sci. Comput. 49 (3) (2011)
Matthias Schäfer, Martin Frank, C. David Levermore
Approximations. Multiscale Model. Simul. 9 (1) (2011)
Edgar Olbrant, Martin Frank
Generalized Fokker-Planck Theory for Electron and Photon Transport in Biological Tissues: Application to Radiotherapy. Comput. Math. Methods Medicine 2010 (4) (2010)
Martin Frank, Armin Fügenschuh, Michael Herty, Lars Schewe
The coolest path problem. Networks Heterog. Media 5 (1) (2010)
Martin Frank
Forschungsarbeiten zur Simulation Diskreter Prozesse und zu objektorientierter Simulationssoftware an der IHD. Informatik in der DDR (2008)
Martin Frank, Axel Klar, Edward W. Larsen, Shugo Yasuda
approximation to the equations of radiative transfer. J. Comput. Phys. 226 (2) (2007)
Martin Frank, René Pinnau
Existence and bounds for the half-moment entropy approximation to radiative transfer. Appl. Math. Lett. 20 (2) (2007)
Martin Frank, Thomas Lütteke, Claus-Wilhelm von der Lieth
GlycoMapsDB: a database of the accessible conformational space of glycosidic linkages. Nucleic Acids Res. 35 (Database-Issue) (2007)
Martin Frank, Hartmut Hensel, Axel Klar
Toward Fast and Accurate Deterministic Methods for Dose Calculation in Electron Radiotherapy. IMECS (2007)
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) (2007)
Martin Frank, Bruno Dubroca, Axel Klar
Partial moment entropy approximation to radiative heat transfer. J. Comput. Phys. 218 (1) (2006)
Thomas Lütteke, Martin Frank, Claus-Wilhelm von der Lieth
Carbohydrate Structure Suite (CSS): analysis of carbohydrate 3D structures derived from the PDB. Nucleic Acids Res. 33 (Database-Issue) (2005)
Thomas Götz, Andreas Bohne-Lang, Martin Frank, Klaus Karl Lohmann, Alexander Loß, Thomas Lütteke, Claus-Wilhelm von der Lieth
An Internet Portal for Glyco-related Data from Open Access Resources. German Conference on Bioinformatics (2004)
Claus-Wilhelm von der Lieth, Andreas Bohne-Lang, Klaus Karl Lohmann, Martin Frank
Bioinformatics for glycomics: Status, methods, requirements and perspectives. Briefings Bioinform. 5 (2) (2004)
Martin Frank, Andreas Bohne, Thomas Wetter, Claus-Wilhelm von der Lieth
Knowledge-based approach for the rapid generation of a representative ensemble of N-glycan conformations. Silico Biol. 2 (3) (2002)
Andreas Bohne, Martin Frank, Thomas Wetter, Claus-Wilhelm von der Lieth
Glycosylation of Proteins: A Computer-Based Method for Rapid Exploration of Conformational Space of N-Glycans. German Conference on Bioinformatics (2001)
Martin Frank, Maria Muslea, Jean Oh, Steven Minton, Craig A. Knoblock
AN intelligent user interface for mixed-initiative multi-source travel planning. IUI (2001)
Craig A. Knoblock, Steven Minton, José Luis Ambite, Maria Muslea, Jean Oh, Martin Frank
Mixed-initiative, multi-source information assistants. WWW (2001)
Martin Frank
Das objektorientierte Modellierungskonzept des Simulationssystems TOMAS. ASIM (1990)
Martin Frank
Tools for Computer Aided Design of Production Processes. IMACS European Simulation Meeting (1984)