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Martin Frank
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2020 – today
- 2024
- [i15]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 abs/2402.00550 (2024) - [i14]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) - [i13]Chinmay Patwardhan, Martin Frank, Jonas Kusch:
Asymptotic-preserving and energy stable dynamical low-rank approximation for thermal radiative transfer equations. CoRR abs/2402.16746 (2024) - [i12]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
- [j48]Stephan Simonis, Martin Frank, Mathias J. Krause:
Constructing relaxation systems for lattice Boltzmann methods. Appl. Math. Lett. 137: 108484 (2023) - [j47]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) - [j46]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) - [j45]Tianbai Xiao, Steffen Schotthöfer, Martin Frank:
Predicting continuum breakdown with deep neural networks. J. Comput. Phys. 489: 112278 (2023) - [j44]Tianbai Xiao, Martin Frank:
RelaxNet: A structure-preserving neural network to approximate the Boltzmann collision operator. J. Comput. Phys. 490: 112317 (2023) - [j43]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
- [j42]Graham W. Alldredge, Martin Frank, Jonas Kusch, Ryan G. McClarren:
A realizable filtered intrusive polynomial moment method. J. Comput. Appl. Math. 407: 114055 (2022) - [j41]Jonas Kusch, Benjamin Whewell, Ryan G. McClarren, Martin Frank:
A low-rank power iteration scheme for neutron transport criticality problems. J. Comput. Phys. 470: 111587 (2022) - [c16]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 - [i11]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) - [i10]Jonas Kusch, Benjamin Whewell, Ryan G. McClarren, Martin Frank:
A low-rank power iteration scheme for neutron transport criticality problems. CoRR abs/2201.12340 (2022) - [i9]Stephan Simonis, Martin Frank, Mathias J. Krause:
Constructing relaxation systems for lattice Boltzmann methods. CoRR abs/2208.14976 (2022) - 2021
- [j40]Tianbai Xiao, Martin Frank:
A stochastic kinetic scheme for multi-scale plasma transport with uncertainty quantification. J. Comput. Phys. 432: 110139 (2021) - [j39]Tianbai Xiao, Martin Frank:
A stochastic kinetic scheme for multi-scale flow transport with uncertainty quantification. J. Comput. Phys. 437: 110337 (2021) - [j38]Tianbai Xiao, Martin Frank:
Using neural networks to accelerate the solution of the Boltzmann equation. J. Comput. Phys. 443: 110521 (2021) - [i8]Gayatri Caklovic, Robert Speck, Martin Frank:
A parallel implementation of a diagonalization-based parallel-in-time integrator. CoRR abs/2103.12571 (2021) - [i7]Jonas Kusch, Gianluca Ceruti, Lukas Einkemmer, Martin Frank:
Dynamical low-rank approximation for Burgers' equation with uncertainty. CoRR abs/2105.04358 (2021) - [i6]Graham W. Alldredge, Martin Frank, Jonas Kusch, Ryan G. McClarren:
A Realizable Filtered Intrusive Polynomial Moment Method. CoRR abs/2105.07473 (2021) - [i5]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) - [i4]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
- [j37]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) - [j36]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) - [j35]Jonas Kusch, Ryan G. McClarren, Martin Frank:
Filtered stochastic Galerkin methods for hyperbolic equations. J. Comput. Phys. 403 (2020) - [j34]Jonas Kusch, Jannick Wolters, Martin Frank:
Intrusive acceleration strategies for uncertainty quantification for hyperbolic systems of conservation laws. J. Comput. Phys. 419: 109698 (2020) - [j33]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) - [c15]Marco Berghoff, Martin Frank, Benjamin Seibold:
Massively Parallel Stencil Strategies for Radiation Transport Moment Model Simulations. ICCS (7) 2020: 242-256 - [c14]Martin Frank, Fabian Lurz, Markus Kempf, Jürgen Röber, Robert Weigel, Alexander Koelpin:
Miniaturized Ultra-Wideband Antenna Design for Human Implants. RWS 2020: 48-51 - [c13]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: 1-6 - [i3]Marco Berghoff, Martin Frank, Benjamin Seibold:
Massively Parallel Stencil Strategies for Radiation Transport Moment Model Simulations. CoRR abs/2004.02833 (2020)
2010 – 2019
- 2019
- [j32]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) - [j31]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): D1195-D1201 (2019) - [j30]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) - [j29]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) - [c12]Martin Frank, Fabian Lurz, Robert Weigel, Alexander Koelpin:
122 GHz Low-cost Substrate Integrated Waveguide based Leaky-Wave Antenna Design. RWS 2019: 1-4 - [i2]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) - [i1]Jonas Kusch, Jannick Wolters, Martin Frank:
Intrusive acceleration strategies for Uncertainty Quantification for hyperbolic systems of conservation laws. CoRR abs/1912.09238 (2019) - 2018
- [j28]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) - [c11]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: 14-17 - 2017
- [j27]Teddy Pichard, Graham W. Alldredge, Stéphane Brull, Bruno Dubroca, Martin Frank:
An Approximation of the M2 Closure: Application to Radiotherapy Dose Simulation. J. Sci. Comput. 71(1): 71-108 (2017) - 2016
- [j26]Philipp Otte, Martin Frank:
Derivation and analysis of Lattice Boltzmann schemes for the linearized Euler equations. Comput. Math. Appl. 72(2): 311-327 (2016) - [j25]Martin Frank, C. Roeckerrath:
Augmenting Mathematics Courses by Problem-Based Learning. Int. J. Eng. Pedagog. 6(1): 50-55 (2016) - [j24]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: 117 (2016) - [j23]Kerstin Küpper, Martin Frank, Shi Jin:
An Asymptotic Preserving Two-dimensional Staggered Grid Method for Multiscale Transport Equations. SIAM J. Numer. Anal. 54(1): 440-461 (2016) - [c10]Pascal Richter, David Laukamp, Levin Gerdes, Martin Frank, Erika Ábrahám:
Heliostat Field Layout Optimization with Evolutionary Algorithms. GCAI 2016: 240-252 - 2015
- [j22]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): 13-21 (2015) - [j21]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): 1329-1345 (2015) - 2014
- [j20]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) - [j19]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): 143-148 (2014) - [j18]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): 4:1-4:28 (2014) - 2013
- [j17]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): 2559-2570 (2013) - [j16]Edgar Olbrant, Edward W. Larsen, Martin Frank, Benjamin Seibold:
Asymptotic derivation and numerical investigation of time-dependent simplified PN equations. J. Comput. Phys. 238: 315-336 (2013) - [c9]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: 201-204 - 2012
- [j15]Richard C. Barnard, Martin Frank, Michael Herty:
Optimal radiotherapy treatment planning using minimum entropy models. Appl. Math. Comput. 219(5): 2668-2679 (2012) - [j14]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) - 2011
- [j13]Martin Frank, Jens Lang, Matthias Schäfer:
Adaptive Finite Element Simulation of the Time-dependent Simplified P N Equations. J. Sci. Comput. 49(3): 332-350 (2011) - [j12]Matthias Schäfer, Martin Frank, C. David Levermore:
Diffusive Corrections to PN Approximations. Multiscale Model. Simul. 9(1): 1-28 (2011) - [j11]René Ranzinger, Stephan Herget, Claus-Wilhelm von der Lieth, Martin Frank:
GlycomeDB - a unified database for carbohydrate structures. Nucleic Acids Res. 39(Database-Issue): 373-376 (2011) - 2010
- [j10]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): 313-339 (2010) - [j9]Martin Frank, Armin Fügenschuh, Michael Herty, Lars Schewe:
The coolest path problem. Networks Heterog. Media 5(1): 143-162 (2010)
2000 – 2009
- 2008
- [c8]Martin Frank:
Forschungsarbeiten zur Simulation Diskreter Prozesse und zu objektorientierter Simulationssoftware an der IHD. Informatik in der DDR 2008: 80-91 - 2007
- [j8]Martin Frank, René Pinnau:
Existence and bounds for the half-moment entropy approximation to radiative transfer. Appl. Math. Lett. 20(2): 189-193 (2007) - [j7]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) - [j6]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): 287-290 (2007) - [j5]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) - [c7]Martin Frank, Hartmut Hensel, Axel Klar:
Toward Fast and Accurate Deterministic Methods for Dose Calculation in Electron Radiotherapy. IMECS 2007: 2361-2365 - 2006
- [j4]Martin Frank, Bruno Dubroca, Axel Klar:
Partial moment entropy approximation to radiative heat transfer. J. Comput. Phys. 218(1): 1-18 (2006) - 2005
- [j3]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): 242-246 (2005) - 2004
- [j2]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): 164-178 (2004) - [c6]Thomas Götz, Andreas Bohne-Lang, Martin Frank, Klaus Karl Lohmann, Alexander Loß, Thomas Lütteke, Claus-Wilhelm von der Lieth:
glycosciences.de: An Internet Portal for Glyco-related Data from Open Access Resources. German Conference on Bioinformatics 2004: 115-119 - 2002
- [j1]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): 427-439 (2002) - [e1]Martin Frank, Natasha F. Noy, Steffen Staab:
Proceedings of the WWW2002 International Workshop on the Semantic Web, Hawaii, May 7, 2002. CEUR Workshop Proceedings 55, CEUR-WS.org 2002 [contents] - 2001
- [c5]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: 34-39 - [c4]Martin Frank, Maria Muslea, Jean Oh, Steven Minton, Craig A. Knoblock:
AN intelligent user interface for mixed-initiative multi-source travel planning. IUI 2001: 85-86 - [c3]Craig A. Knoblock, Steven Minton, José Luis Ambite, Maria Muslea, Jean Oh, Martin Frank:
Mixed-initiative, multi-source information assistants. WWW 2001: 697-707
1990 – 1999
- 1990
- [c2]Martin Frank:
Das objektorientierte Modellierungskonzept des Simulationssystems TOMAS. ASIM 1990: 269-273
1980 – 1989
- 1984
- [c1]Martin Frank:
Tools for Computer Aided Design of Production Processes. IMACS European Simulation Meeting 1984: 123-131
Coauthor Index
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last updated on 2024-10-15 21:37 CEST by the dblp team
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