A stochastic Galerkin lattice Boltzmann method for incompressible fluid flows with uncertainties - Mingliang Zhong; Tianbai Xiao; Mathias J. Krause; Martin Frank; Stephan Simonis (J. Comput. Phys., 2024)

Numerical simulation of endovascular treatment options for cerebral aneurysms - Martin Frank; Fabian Holzberger; Medeea Horvat; Jan Kirschke; Matthias Mayr; Markus Muhr; Natalia Nebulishvili; Alexander Popp; Julian Schwarting; Barbara I. Wohlmuth (CoRR, 2024)

Structure-Preserving Operator Learning: Modeling the Collision Operator of Kinetic Equations - Jae Yong Lee; Steffen Schotthöfer; Tianbai Xiao; Sebastian Krumscheid; Martin Frank (CoRR, 2024)

Asymptotic-preserving and energy stable dynamical low-rank approximation for thermal radiative transfer equations - Chinmay Patwardhan; Martin Frank; Jonas Kusch (CoRR, 2024)

Structure-preserving neural networks for the regularized entropy-based closure of the Boltzmann moment system - Steffen Schotthöfer; M. Paul Laiu; Martin Frank; Cory D. Hauck (CoRR, 2024)

Energy-aware operation of HPC systems in Germany - Estela Suarez; Hendryk Bockelmann; Norbert Eicker; Jan Eitzinger; Salem El Sayed; Thomas Fieseler; Martin Frank; Peter Frech; Pay Giesselmann; Daniel Hackenberg; Georg Hager; Andreas Herten; et al. (CoRR, 2024)

Numerical Robustness of PINNs for Multiscale Transport Equations - Alexander Jesser; Kai Krycki; Ryan G. McClarren; Martin Frank (CoRR, 2024)

Constructing relaxation systems for lattice Boltzmann methods - Stephan Simonis; Martin Frank; Mathias J. Krause (Appl. Math. Lett., 2023)

Implicit propagation of directly addressed grids in lattice Boltzmann methods - Adrian Kummerländer; Márcio Dorn; Martin Frank; Mathias J. Krause (Concurr. Comput. Pract. Exp., 2023)

Multivariate error modeling and uncertainty quantification using importance (re-)weighting for Monte Carlo simulations in particle transport - Pia Stammer; Lucas Burigo; Oliver Jäkel; Martin Frank; Niklas Wahl (J. Comput. Phys., 2023)

Predicting continuum breakdown with deep neural networks - Tianbai Xiao; Steffen Schotthöfer; Martin Frank (J. Comput. Phys., 2023)

RelaxNet: A structure-preserving neural network to approximate the Boltzmann collision operator - Tianbai Xiao; Martin Frank (J. Comput. Phys., 2023)

A Flux Reconstruction Stochastic Galerkin Scheme for Hyperbolic Conservation Laws - Tianbai Xiao; Jonas Kusch; Julian Koellermeier; Martin Frank (J. Sci. Comput., 2023)

A realizable filtered intrusive polynomial moment method - Graham W. Alldredge; Martin Frank; Jonas Kusch; Ryan G. McClarren (J. Comput. Appl. Math., 2022)

A low-rank power iteration scheme for neutron transport criticality problems - Jonas Kusch; Benjamin Whewell; Ryan G. McClarren; Martin Frank (J. Comput. Phys., 2022)

Structure Preserving Neural Networks: A Case Study in the Entropy Closure of the Boltzmann Equation - Steffen Schotthöfer; Tianbai Xiao; Martin Frank; Cory D. Hauck (International Conference on Machine Learning, ICML 2022, 17-23 July 2022, Baltimore, Maryland, USA, 2022)

Neural network-based, structure-preserving entropy closures for the Boltzmann moment system - Steffen Schotthöfer; Tianbai Xiao; Martin Frank; Cory D. Hauck (CoRR, 2022)

A low-rank power iteration scheme for neutron transport criticality problems - Jonas Kusch; Benjamin Whewell; Ryan G. McClarren; Martin Frank (CoRR, 2022)

Constructing relaxation systems for lattice Boltzmann methods - Stephan Simonis; Martin Frank; Mathias J. Krause (CoRR, 2022)

A stochastic kinetic scheme for multi-scale plasma transport with uncertainty quantification - Tianbai Xiao; Martin Frank (J. Comput. Phys., 2021)

A stochastic kinetic scheme for multi-scale flow transport with uncertainty quantification - Tianbai Xiao; Martin Frank (J. Comput. Phys., 2021)

Using neural networks to accelerate the solution of the Boltzmann equation - Tianbai Xiao; Martin Frank (J. Comput. Phys., 2021)

A parallel implementation of a diagonalization-based parallel-in-time integrator - Gayatri Caklovic; Robert Speck; Martin Frank (CoRR, 2021)

Dynamical low-rank approximation for Burgers' equation with uncertainty - Jonas Kusch; Gianluca Ceruti; Lukas Einkemmer; Martin Frank (CoRR, 2021)

A Realizable Filtered Intrusive Polynomial Moment Method - Graham W. Alldredge; Martin Frank; Jonas Kusch; Ryan G. McClarren (CoRR, 2021)

On the convergence of the regularized entropy-based moment method for kinetic equations - Graham W. Alldredge; Martin Frank; Jan Giesselmann (CoRR, 2021)

A structure-preserving surrogate model for the closure of the moment system of the Boltzmann equation using convex deep neural networks - Steffen Schotthöfer; Tianbai Xiao; Martin Frank; Cory D. Hauck (CoRR, 2021)

Robust Mathematical formulation and Probabilistic Description of Agent-based Computational Economic Market Models - Maximilian Beikirch; Simon Cramer; Martin Frank; Philipp Otte; Emma Pabich; Torsten Trimborn (Adv. Complex Syst., 2020)

A structured approach to the construction of stable linear Lattice Boltzmann collision operator - Philipp Otte; Martin Frank (Comput. Math. Appl., 2020)

Filtered stochastic Galerkin methods for hyperbolic equations - Jonas Kusch; Ryan G. McClarren; Martin Frank (J. Comput. Phys., 2020)

Intrusive acceleration strategies for uncertainty quantification for hyperbolic systems of conservation laws - Jonas Kusch; Jannick Wolters; Martin Frank (J. Comput. Phys., 2020)

A low-rank method for two-dimensional time-dependent radiation transport calculations - Zhuogang Peng; Ryan G. McClarren; Martin Frank (J. Comput. Phys., 2020)

Massively Parallel Stencil Strategies for Radiation Transport Moment Model Simulations - Marco Berghoff; Martin Frank; Benjamin Seibold (Computational Science - ICCS 2020 - 20th International Conference, Amsterdam, The Netherlands, June 3-5, 2020, Proceedings, Part VII, 2020)

Miniaturized Ultra-Wideband Antenna Design for Human Implants - Martin Frank; Fabian Lurz; Markus Kempf; Jürgen Röber; Robert Weigel; Alexander Koelpin (2020 IEEE Radio and Wireless Symposium, RWS 2020, San Antonio, TX, USA, January 26-29, 2020, 2020)

Universal low-cost Transmitarray Antenna Design at 61 GHz for Beam Steering with different Feed Antennas - Martin Frank; Fabian Lurz; Robert Weigel; Alexander Koelpin (24th International ITG Workshop on Smart Antennas, WSA 2020, Hamburg, Germany, February 18-20, 2020, 2020)

Massively Parallel Stencil Strategies for Radiation Transport Moment Model Simulations - Marco Berghoff; Martin Frank; Benjamin Seibold (CoRR, 2020)

Ray effect mitigation for the discrete ordinates method through quadrature rotation - Thomas Camminady; Martin Frank; Kerstin Küpper; Jonas Kusch (J. Comput. Phys., 2019)

Glycosciences.DB: an annotated data collection linking glycomics and proteomics data (2018 update) - Michael Böhm; Andreas Bohne-Lang; Martin Frank; Alexander Loß; Miguel A. Rojas-Macias; Thomas Lütteke (Nucleic Acids Res., 2019)

A Regularized Entropy-Based Moment Method for Kinetic Equations - Graham W. Alldredge; Martin Frank; Cory D. Hauck (SIAM J. Appl. Math., 2019)

A Positive Asymptotic-Preserving Scheme for Linear Kinetic Transport Equations - M. Paul Laiu; Martin Frank; Cory D. Hauck (SIAM J. Sci. Comput., 2019)

122 GHz Low-cost Substrate Integrated Waveguide based Leaky-Wave Antenna Design - Martin Frank; Fabian Lurz; Robert Weigel; Alexander Koelpin (IEEE Radio and Wireless Symposium, RWS 2019, Orlando, FL, USA, January 20-23, 2019, 2019)

Ray Effect Mitigation for the Discrete Ordinates Method Using Artificial Scattering - Martin Frank; Jonas Kusch; Thomas Camminady; Cory D. Hauck (CoRR, 2019)

Intrusive acceleration strategies for Uncertainty Quantification for hyperbolic systems of conservation laws - Jonas Kusch; Jannick Wolters; Martin Frank (CoRR, 2019)

A comparative study of limiting strategies in discontinuous Galerkin schemes for the M1 model of radiation transport - Prince Chidyagwai; Martin Frank; Florian Schneider; Benjamin Seibold (J. Comput. Appl. Math., 2018)

Design and characterization of antenna arrays in eWLB package for 61 GHz radar applications - Martin Frank; Pol Ghesquière; Stefan Kiefl; Robert Weigel; Alexander Koelpin (2018 IEEE Radio and Wireless Symposium, RWS 2018, Anaheim, CA, USA, January 15-18, 2018, 2018)

An Approximation of the M\(_2\) Closure: Application to Radiotherapy Dose Simulation - Teddy Pichard; Graham W. Alldredge; Stéphane Brull; Bruno Dubroca; Martin Frank (J. Sci. Comput., 2017)

Derivation and analysis of Lattice Boltzmann schemes for the linearized Euler equations - Philipp Otte; Martin Frank (Comput. Math. Appl., 2016)

Augmenting Mathematics Courses by Problem-Based Learning - Martin Frank; C. Roeckerrath (Int. J. Eng. Pedagog., 2016)

Comparison of different approaches applied in Analytic Hierarchy Process - an example of information needs of patients with rare diseases - Frédéric Pauer; Katharina Schmidt; Ana Babac; Kathrin Damm; Martin Frank; Johann-Matthias Graf von der Schulenburg (BMC Medical Informatics Decis. Mak., 2016)

An Asymptotic Preserving Two-dimensional Staggered Grid Method for Multiscale Transport Equations - Kerstin Küpper; Martin Frank; Shi Jin (SIAM J. Numer. Anal., 2016)

Heliostat Field Layout Optimization with Evolutionary Algorithms - Pascal Richter; David Laukamp; Levin Gerdes; Martin Frank; Erika Ábrahám (GCAI 2016. 2nd Global Conference on Artificial Intelligence, September 19 - October 2, 2016, Berlin, Germany, 2016)

Binding energy calculations for hevein-carbohydrate interactions using expanded ensemble molecular dynamics simulations - Chaitanya A. K. Koppisetty; Martin Frank; Alexander Lyubartsev; Per-Georg Nyholm (J. Comput. Aided Mol. Des., 2015)

The Nonclassical Boltzmann Equation and DIffusion-Based Approximations to the Boltzmann Equation - Martin Frank; Kai Krycki; Edward W. Larsen; Richard Vasques (SIAM J. Appl. Math., 2015)

Higher Order Mixed-Moment Approximations for the Fokker-Planck Equation in One Space Dimension - Florian Schneider; Graham W. Alldredge; Martin Frank; Axel Klar (SIAM J. Appl. Math., 2014)

Computational Aspects of Models for Minimizing the Effects of Ectopic Beats on Heart Rate Variability - Martin Frank; Martin Bachler; Siegfried Wassertheurer; Christopher C. Mayer (Simul. Notes Eur., 2014)

StaRMAP - A Second Order Staggered Grid Method for Spherical Harmonics Moment Equations of Radiative Transfer - Benjamin Seibold; Martin Frank (ACM Trans. Math. Softw., 2014)

Computation of Binding Energies Including Their Enthalpy and Entropy Components for Protein-Ligand Complexes Using Support Vector Machines - Chaitanya A. K. Koppisetty; Martin Frank; Graham J. L. Kemp; Per-Georg Nyholm (J. Chem. Inf. Model., 2013)

Asymptotic derivation and numerical investigation of time-dependent simplified PN equations - Edgar Olbrant; Edward W. Larsen; Martin Frank; Benjamin Seibold (J. Comput. Phys., 2013)

Spiral search based fast rotation estimation for efficient HEVC compression of navigation video sequences - Dominic Springer; Martin Frank; Franz Simmet; Dieter Niederkorn; André Kaup (30th Picture Coding Symposium, PCS 2013, San Jose, CA, USA, December 8-11, 2013, 2013)

Optimal radiotherapy treatment planning using minimum entropy models - Richard C. Barnard; Martin Frank; Michael Herty (Appl. Math. Comput., 2012)

A realizability-preserving discontinuous Galerkin method for the M1 model of radiative transfer - Edgar Olbrant; Cory D. Hauck; Martin Frank (J. Comput. Phys., 2012)

Adaptive Finite Element Simulation of the Time-dependent Simplified P N Equations - Martin Frank; Jens Lang; Matthias Schäfer (J. Sci. Comput., 2011)

Diffusive Corrections to P\(_N\) Approximations - Matthias Schäfer; Martin Frank; C. David Levermore (Multiscale Model. Simul., 2011)

GlycomeDB - a unified database for carbohydrate structures - René Ranzinger; Stephan Herget; Claus-Wilhelm von der Lieth; Martin Frank (Nucleic Acids Res., 2011)

Generalized Fokker-Planck Theory for Electron and Photon Transport in Biological Tissues: Application to Radiotherapy - Edgar Olbrant; Martin Frank (Comput. Math. Methods Medicine, 2010)

The coolest path problem - Martin Frank; Armin Fügenschuh; Michael Herty; Lars Schewe (Networks Heterog. Media, 2010)

Forschungsarbeiten zur Simulation Diskreter Prozesse und zu objektorientierter Simulationssoftware an der IHD - Martin Frank (Informatik in der DDR - Grundlagen und Anwendungen, Symposium am 15. und 16. Mai 2008 in Dresden, 2008)

Existence and bounds for the half-moment entropy approximation to radiative transfer - Martin Frank; René Pinnau (Appl. Math. Lett., 2007)

Time-dependent simplified P\(_N\) approximation to the equations of radiative transfer - Martin Frank; Axel Klar; Edward W. Larsen; Shugo Yasuda (J. Comput. Phys., 2007)

GlycoMapsDB: a database of the accessible conformational space of glycosidic linkages - Martin Frank; Thomas Lütteke; Claus-Wilhelm von der Lieth (Nucleic Acids Res., 2007)

A Fast and Accurate Moment Method for the Fokker-Planck Equation and Applications to Electron Radiotherapy - Martin Frank; Hartmut Hensel; Axel Klar (SIAM J. Appl. Math., 2007)

Toward Fast and Accurate Deterministic Methods for Dose Calculation in Electron Radiotherapy - Martin Frank; Hartmut Hensel; Axel Klar (Proceedings of the International MultiConference of Engineers and Computer Scientists 2007, IMECS 2007, March 21-23, 2007, Hong Kong, China, 2007)

Partial moment entropy approximation to radiative heat transfer - Martin Frank; Bruno Dubroca; Axel Klar (J. Comput. Phys., 2006)

Carbohydrate Structure Suite (CSS): analysis of carbohydrate 3D structures derived from the PDB - Thomas Lütteke; Martin Frank; Claus-Wilhelm von der Lieth (Nucleic Acids Res., 2005)

Bioinformatics for glycomics: Status, methods, requirements and perspectives - Claus-Wilhelm von der Lieth; Andreas Bohne-Lang; Klaus Karl Lohmann; Martin Frank (Briefings Bioinform., 2004)

glycosciences.de: An Internet Portal for Glyco-related Data from Open Access Resources - Thomas Götz; Andreas Bohne-Lang; Martin Frank; Klaus Karl Lohmann; Alexander Loß; Thomas Lütteke; Claus-Wilhelm von der Lieth (Proceedings of the German Conference on Bioinformatics (GCB 2004), Bielefeld, Germany, October 4-6, 2004, 2004)

Knowledge-based approach for the rapid generation of a representative ensemble of N-glycan conformations - Martin Frank; Andreas Bohne; Thomas Wetter; Claus-Wilhelm von der Lieth (Silico Biol., 2002)

Proceedings of the WWW2002 International Workshop on the Semantic Web, Hawaii, May 7, 2002 - Martin Frank; Natasha F. Noy; Steffen Staab (CEUR-WS.org, 2002)

Glycosylation of Proteins: A Computer-Based Method for Rapid Exploration of Conformational Space of N-Glycans - Andreas Bohne; Martin Frank; Thomas Wetter; Claus-Wilhelm von der Lieth (Computer science and biology: Proceedings of the German Conference on Bioinformatics, GCB 2001, October 7-10, 2001, Braunschweig, Germany, 2001)

AN intelligent user interface for mixed-initiative multi-source travel planning - Martin Frank; Maria Muslea; Jean Oh; Steven Minton; Craig A. Knoblock (Proceedings of the 6th International Conference on Intelligent User Interfaces, IUI 2001, Santa Fe, NM, USA, January 14-17, 2001, 2001)

Mixed-initiative, multi-source information assistants - Craig A. Knoblock; Steven Minton; José Luis Ambite; Maria Muslea; Jean Oh; Martin Frank (Proceedings of the Tenth International World Wide Web Conference, WWW 10, Hong Kong, China, May 1-5, 2001, 2001)

Das objektorientierte Modellierungskonzept des Simulationssystems TOMAS - Martin Frank (6. Symposium Simulationstechnik: Fortschritte in der Simulationstechnik, ASIM 1990, Vienna, Austria, September, 1990, 1990)

Tools for Computer Aided Design of Production Processes - Martin Frank (Simulation in Research and Development, Proceedings of the IMACS European Simulation Meeting on Simulation in Research and Development, Eger, Hungary, 27-30 August, 1984, 1984)