Martin Frank

Orcid: 0000-0001-8562-6982

According to our database1, Martin Frank authored at least 73 papers between 1984 and 2024.

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Bibliography

2024
Asymptotic-preserving and energy stable dynamical low-rank approximation for thermal radiative transfer equations.
CoRR, 2024

Structure-Preserving Operator Learning: Modeling the Collision Operator of Kinetic Equations.
CoRR, 2024

Numerical simulation of endovascular treatment options for cerebral aneurysms.
CoRR, 2024

2023
A Flux Reconstruction Stochastic Galerkin Scheme for Hyperbolic Conservation Laws.
J. Sci. Comput., April, 2023

Predicting continuum breakdown with deep neural networks.
J. Comput. Phys., 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

Implicit propagation of directly addressed grids in lattice Boltzmann methods.
Concurr. Comput. Pract. Exp., 2023

Constructing relaxation systems for lattice Boltzmann methods.
Appl. Math. Lett., 2023

2022
A low-rank power iteration scheme for neutron transport criticality problems.
J. Comput. Phys., 2022

A realizable filtered intrusive polynomial moment method.
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
Using neural networks to accelerate the solution of the Boltzmann equation.
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

Dynamical low-rank approximation for Burgers' equation with uncertainty.
CoRR, 2021

A parallel implementation of a diagonalization-based parallel-in-time integrator.
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

Filtered stochastic Galerkin methods for hyperbolic equations.
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

Universal low-cost Transmitarray Antenna Design at 61 GHz for Beam Steering with different Feed Antennas.
Proceedings of the 24th International ITG Workshop on Smart Antennas, 2020

Miniaturized Ultra-Wideband Antenna Design for Human Implants.
Proceedings of the 2020 IEEE Radio and Wireless Symposium, 2020

Massively Parallel Stencil Strategies for Radiation Transport Moment Model Simulations.
Proceedings of the Computational Science - ICCS 2020, 2020

2019
A Positive Asymptotic-Preserving Scheme for Linear Kinetic Transport Equations.
SIAM J. Sci. Comput., 2019

A Regularized Entropy-Based Moment Method for Kinetic Equations.
SIAM J. Appl. Math., 2019

Glycosciences.DB: an annotated data collection linking glycomics and proteomics data (2018 update).
Nucleic Acids Res., 2019

Ray effect mitigation for the discrete ordinates method through quadrature rotation.
J. Comput. Phys., 2019

Ray Effect Mitigation for the Discrete Ordinates Method Using Artificial Scattering.
CoRR, 2019

122 GHz Low-cost Substrate Integrated Waveguide based Leaky-Wave Antenna Design.
Proceedings of the IEEE Radio and Wireless Symposium, 2019

2018
A comparative study of limiting strategies in discontinuous Galerkin schemes for the M1 model of radiation transport.
J. Comput. Appl. Math., 2018

Design and characterization of antenna arrays in eWLB package for 61 GHz radar applications.
Proceedings of the 2018 IEEE Radio and Wireless Symposium, 2018

2017
An Approximation of the M<sub>2</sub> Closure: Application to Radiotherapy Dose Simulation.
J. Sci. Comput., 2017

2016
An Asymptotic Preserving Two-dimensional Staggered Grid Method for Multiscale Transport Equations.
SIAM J. Numer. Anal., 2016

Comparison of different approaches applied in Analytic Hierarchy Process - an example of information needs of patients with rare diseases.
BMC Medical Informatics Decis. Mak., 2016

Augmenting Mathematics Courses by Problem-Based Learning.
Int. J. Eng. Pedagog., 2016

Derivation and analysis of Lattice Boltzmann schemes for the linearized Euler equations.
Comput. Math. Appl., 2016

Heliostat Field Layout Optimization with Evolutionary Algorithms.
Proceedings of the GCAI 2016. 2nd Global Conference on Artificial Intelligence, September 19, 2016

2015
The Nonclassical Boltzmann Equation and DIffusion-Based Approximations to the Boltzmann Equation.
SIAM J. Appl. Math., 2015

Binding energy calculations for hevein-carbohydrate interactions using expanded ensemble molecular dynamics simulations.
J. Comput. Aided Mol. Des., 2015

2014
StaRMAP - A Second Order Staggered Grid Method for Spherical Harmonics Moment Equations of Radiative Transfer.
ACM Trans. Math. Softw., 2014

Computational Aspects of Models for Minimizing the Effects of Ectopic Beats on Heart Rate Variability.
Simul. Notes Eur., 2014

Higher Order Mixed-Moment Approximations for the Fokker-Planck Equation in One Space Dimension.
SIAM J. Appl. Math., 2014

2013
Asymptotic derivation and numerical investigation of time-dependent simplified PN equations.
J. Comput. Phys., 2013

Computation of Binding Energies Including Their Enthalpy and Entropy Components for Protein-Ligand Complexes Using Support Vector Machines.
J. Chem. Inf. Model., 2013

Spiral search based fast rotation estimation for efficient HEVC compression of navigation video sequences.
Proceedings of the 30th Picture Coding Symposium, 2013

2012
A realizability-preserving discontinuous Galerkin method for the M1 model of radiative transfer.
J. Comput. Phys., 2012

Optimal radiotherapy treatment planning using minimum entropy models.
Appl. Math. Comput., 2012

2011
GlycomeDB - a unified database for carbohydrate structures.
Nucleic Acids Res., 2011

Diffusive Corrections to P<sub>N</sub> Approximations.
Multiscale Model. Simul., 2011

Adaptive Finite Element Simulation of the Time-dependent Simplified P N Equations.
J. Sci. Comput., 2011

2010
The coolest path problem.
Networks Heterog. Media, 2010

Generalized Fokker-Planck Theory for Electron and Photon Transport in Biological Tissues: Application to Radiotherapy.
Comput. Math. Methods Medicine, 2010

2008
Forschungsarbeiten zur Simulation Diskreter Prozesse und zu objektorientierter Simulationssoftware an der IHD.
Proceedings of the Informatik in der DDR, 2008

2007
A Fast and Accurate Moment Method for the Fokker-Planck Equation and Applications to Electron Radiotherapy.
SIAM J. Appl. Math., 2007

GlycoMapsDB: a database of the accessible conformational space of glycosidic linkages.
Nucleic Acids Res., 2007

Time-dependent simplified P<sub>N</sub> approximation to the equations of radiative transfer.
J. Comput. Phys., 2007

Existence and bounds for the half-moment entropy approximation to radiative transfer.
Appl. Math. Lett., 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
Partial moment entropy approximation to radiative heat transfer.
J. Comput. Phys., 2006

2005
Carbohydrate Structure Suite (CSS): analysis of carbohydrate 3D structures derived from the PDB.
Nucleic Acids Res., 2005

2004
Bioinformatics for glycomics: Status, methods, requirements and perspectives.
Briefings Bioinform., 2004

<i>glycosciences.de: </i> An Internet Portal for Glyco-related Data from Open Access Resources.
Proceedings of the German Conference on Bioinformatics (GCB 2004), Bielefeld, 2004

2002
Knowledge-based approach for the rapid generation of a representative ensemble of N-glycan conformations.
Silico Biol., 2002

2001
Mixed-initiative, multi-source information assistants.
Proceedings of the Tenth International World Wide Web Conference, 2001

AN intelligent user interface for mixed-initiative multi-source travel planning.
Proceedings of the 6th International Conference on Intelligent User Interfaces, 2001

Glycosylation of Proteins: A Computer-Based Method for Rapid Exploration of Conformational Space of N-Glycans.
Proceedings of the Computer science and biology: Proceedings of the German Conference on Bioinformatics, 2001

1990
Das objektorientierte Modellierungskonzept des Simulationssystems TOMAS.
Proceedings of the 6. Symposium Simulationstechnik: Fortschritte in der Simulationstechnik, 1990

1984
Tools for Computer Aided Design of Production Processes.
Proceedings of the Simulation in Research and Development, 1984


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