## Frank, Martin

Compute Distance To:
 Author ID: frank.martin Published as: Frank, Martin; Frank, M.
 Documents Indexed: 80 Publications since 1979, including 2 Books 1 Contribution as Editor Co-Authors: 61 Co-Authors with 69 Joint Publications 1,536 Co-Co-Authors
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### Co-Authors

 9 single-authored 10 Klar, Axel 9 Herty, Michael Matthias 8 Dubroca, Bruno 7 Kusch, Jonas 6 Alldredge, Graham W. 5 Hauck, Cory D. 5 Seibold, Benjamin 4 Brull, Stephane 4 Krycki, Kai 4 Olbrant, Edgar 4 Pichard, Teddy 4 Pinnau, René 4 Schäfer, Matthias 3 Barnard, Richard C. 3 Küpper, Kerstin 3 Larsen, Edward W. 3 McClarren, Ryan G. 3 Turpault, Rodolphe 3 Xiao, Tianbai 2 Berthon, Christophe 2 Camminady, Thomas 2 Kokkonen, Petri 2 Otte, Philipp 2 Pareschi, Lorenzo 2 Schneider, Florian H. 2 Tervo, Jouko 2 Thömmes, Guido 2 Wolters, Jannick 1 Anderson, Douglas R. 1 Aregba-Driollet, Denise 1 Barleon, Leopold 1 Barrand, G. 1 Binko, P. 1 Blank, H.-R. 1 Carrillo de la Plata, José Antonio 1 Chen, Jinbo 1 Chidyagwai, Prince 1 Chytracek, R. 1 Corti, G. 1 Fügenschuh, Armin R. 1 Goudon, Thierry 1 Gracia, G. 1 Heindl, J. 1 Hensel, Hartmut 1 Hinze, Michael 1 Hu, Jingwei 1 Jin, Shi 1 Kaltenhäuser, M. 1 Köchner, H. 1 Krause, Mathias J. 1 Kreische, W. 1 Laiu, M. Paul 1 Lang, Jens 1 Lax, Christian 1 Levermore, C. David 1 Lorenz, Peter 1 Maley, P. 1 Mato, P. 1 Morris, Jeffrey F. 1 Peng, Zhuogang 1 Poscher, S. 1 Ranjard, F. 1 Roero, Clara Silvia 1 Sandjo, Albert N. 1 Sarazin, Céline 1 Schewe, Lars 1 Seaïd, Mohammed 1 Simonis, Stephan 1 Sporer, Ralph 1 Sun, Weiran 1 Szekely, Pedro 1 Trimborn, Torsten 1 van Herwijnen, Eric 1 Vasques, Richard 1 Walcher, Sebastian 1 Weeks, Eric R. 1 Wittich, Olaf 1 Yasuda, Shugo
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### Serials

 12 Journal of Computational Physics 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 SIAM Journal on Applied Mathematics 4 Kinetic and Related Models 3 Journal of Computational and Applied Mathematics 3 Bollettino di Storia delle Scienze Matematiche 2 Computers & Mathematics with Applications 2 Journal of Scientific Computing 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Communications in Computational Physics 2 International Journal of Advances in Engineering Sciences and Applied Mathematics 1 Modern Physics Letters A 1 International Journal of Modern Physics A 1 Archive for History of Exact Sciences 1 Computer Physics Communications 1 Journal of Fluid Mechanics 1 Journal of Mathematical Analysis and Applications 1 Mathematical Methods in the Applied Sciences 1 Revue d’Histoire des Sciences 1 Transport Theory and Statistical Physics 1 ACM Transactions on Mathematical Software 1 Applied Mathematics and Computation 1 SIAM Journal on Numerical Analysis 1 Physica D 1 Applied Mathematics Letters 1 Continuum Mechanics and Thermodynamics 1 SIAM Journal on Scientific Computing 1 Physics of Fluids 1 Journal of Mathematical Chemistry 1 Discrete and Continuous Dynamical Systems. Series B 1 Multiscale Modeling & Simulation 1 Communications in Mathematical Sciences 1 Mathematical Medicine and Biology 1 Oberwolfach Reports 1 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Computational & Mathematical Methods in Medicine 1 Networks and Heterogeneous Media 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Berichte aus der Mathematik 1 SMAI Journal of Computational Mathematics 1 Journal of Computational and Theoretical Transport
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### Fields

 32 Numerical analysis (65-XX) 30 Partial differential equations (35-XX) 22 Statistical mechanics, structure of matter (82-XX) 15 Biology and other natural sciences (92-XX) 13 Optics, electromagnetic theory (78-XX) 10 Astronomy and astrophysics (85-XX) 9 Fluid mechanics (76-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Integral equations (45-XX) 5 History and biography (01-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Computer science (68-XX) 3 Probability theory and stochastic processes (60-XX) 3 Operations research, mathematical programming (90-XX) 3 Systems theory; control (93-XX) 3 Information and communication theory, circuits (94-XX) 2 Special functions (33-XX) 2 Ordinary differential equations (34-XX) 2 Approximations and expansions (41-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

### Citations contained in zbMATH Open

61 Publications have been cited 431 times in 244 Documents Cited by Year
Efficient numerical methods for radiation in gas turbines. Zbl 1221.80023
Seaïd, M.; Frank, M.; Klar, A.; Pinnau, R.; Thömmes, G.
2004
Time-dependent simplified $$P_{N}$$ approximation to the equations of radiative transfer. Zbl 1128.65107
Frank, Martin; Klar, Axel; Larsen, Edward W.; Yasuda, Shugo
2007
Partial moment entropy approximation to radiative heat transfer. Zbl 1104.65124
Frank, Martin; Dubroca, Bruno; Klar, Axel
2006
Higher order mixed-moment approximations for the Fokker-Planck equation in one space dimension. Zbl 1307.35301
Schneider, Florian; Alldredge, Graham; Frank, Martin; Klar, Axel
2014
A realizability-preserving discontinuous Galerkin method for the $$M_1$$ model of radiative transfer. Zbl 1277.65083
Olbrant, Edgar; Hauck, Cory D.; Frank, Martin
2012
A fast and accurate moment method for the Fokker–Planck equation and applications to electron radiotherapy. Zbl 1123.78011
Frank, Martin; Hensel, Hartmut; Klar, Axel
2007
Particle migration in pressure-driven flow of a Brownian suspensions. Zbl 1049.76507
Frank, Martin; Anderson, Douglas; Weeks, Eric R.; Morris, Jeffrey F.
2003
Multigroup half space moment approximations to the radiative heat transfer equations. Zbl 1053.65101
Turpault, R.; Frank, M.; Dubroca, B.; Klar, A.
2004
Convergence of filtered spherical harmonic equations for radiation transport. Zbl 1355.33015
Frank, Martin; Hauck, Cory; Küpper, Kerstin
2016
StaRMAP – a second order staggered grid method for spherical harmonics moment equations of radiative transfer. Zbl 1369.65103
Seibold, Benjamin; Frank, Martin
2014
Perturbed, entropy-based closure for radiative transfer. Zbl 1264.85006
Frank, Martin; Hauck, Cory D.; Olbrant, Edgar
2013
A half space moment approximation to the radiative heat transfer equations. Zbl 1103.80300
Dubroca, B.; Frank, M.; Klar, A.; Thömmes, G.
2003
Visual analysis of two-dimensional magnetohydrodynamics. Zbl 1184.76168
Frank, M.; Barleon, L.; Müller, U.
2001
Optimal radiotherapy treatment planning governed by kinetic equations. Zbl 1255.49007
Frank, Martin; Herty, Michael; Sandjo, Albert N.
2010
On a generalized Boltzmann equation for non-classical particle transport. Zbl 1219.35166
Frank, Martin; Goudon, Thierry
2010
Optimal treatment planning in radiotherapy based on Boltzmann transport calculations. Zbl 1143.76058
Frank, Martin; Herty, Michael; Schäfer, Matthias
2008
Optimal control of glass cooling using simplified $$P_N$$ theory. Zbl 1213.82074
Frank, Martin; Klar, Axel; Pinnau, René
2010
Approximate models for radiative transfer. Zbl 1130.85006
Frank, Martin
2007
Maximum-principle-satisfying second-order intrusive polynomial moment scheme. Zbl 1447.35082
Kusch, Jonas; Alldredge, Graham W.; Frank, Martin
2019
Filtered stochastic Galerkin methods for hyperbolic equations. Zbl 1453.62579
Kusch, Jonas; McClarren, Ryan G.; Frank, Martin
2020
Diffusive corrections to $$P_N$$ approximations. Zbl 1238.82033
Schäfer, Matthias; Frank, Martin; Levermore, C. David
2011
Improvement of $$K_ 2$$-entropy calculations by means of dimension scaled distances. Zbl 0772.60105
Frank, M.; Blank, H.-R.; Heindl, J.; Kaltenhäuser, M.; Köchner, H.; Kreische, W.; Müller, N.; Poscher, S.; Sporer, R.; Wagner, T.
1993
The nonclassical Boltzmann equation and diffusion-based approximations to the Boltzmann equation. Zbl 1319.35154
Frank, Martin; Krycki, Kai; Larsen, Edward W.; Vasques, Richard
2015
Asymptotic derivation and numerical investigation of time-dependent simplified image equations. Zbl 1286.35188
Olbrant, E.; Larsen, E. W.; Frank, M.; Seibold, B.
2013
Generalized Fokker-Planck theory for electron and photon transport in biological tissues: application to radiotherapy. Zbl 1202.92045
Olbrant, Edgar; Frank, Martin
2010
A regularized entropy-based moment method for kinetic equations. Zbl 1431.65167
Alldredge, Graham W.; Frank, Martin; Hauck, Cory D.
2019
A comparative study of limiting strategies in discontinuous Galerkin schemes for the $$M_1$$ model of radiation transport. Zbl 1448.65153
Chidyagwai, Prince; Frank, Martin; Schneider, Florian; Seibold, Benjamin
2018
The minimum entropy approximation to the radiative transfer equation. Zbl 1186.85023
Wright, Daniel; Frank, Martin; Klar, Axel
2009
MAAN: A multi-attribute addressable network for grid information services. Zbl 1075.68528
Cai, Min; Frank, Martin; Chen, Jinbo; Szekely, Pedro
2004
A hierarchy of approximations to the radiative heat transfer equations: modelling, analysis and simulation. Zbl 1085.85002
Schäfer, Matthias; Frank, Martin; Pinnau, René
2005
Fractional diffusion limits of non-classical transport equations. Zbl 1405.82013
Frank, Martin; Sun, Weiran
2018
An asymptotic preserving two-dimensional staggered grid method for multiscale transport equations. Zbl 1339.82008
Küpper, Kerstin; Frank, Martin; Jin, Shi
2016
Optimal prediction for radiative transfer: a new perspective on moment closure. Zbl 1231.85003
Frank, Martin; Seibold, Benjamin
2011
A positive asymptotic-preserving scheme for linear kinetic transport equations. Zbl 1447.65025
Laiu, M. Paul; Frank, Martin; Hauck, Cory D.
2019
Intrusive methods in uncertainty quantification and their connection to kinetic theory. Zbl 1397.65020
Kusch, Jonas; Frank, Martin
2018
On existence of solutions for Boltzmann continuous slowing down transport equation. Zbl 1382.35183
Tervo, J.; Kokkonen, P.; Frank, M.; Herty, M.
2018
An approximation of the $$M_2$$ closure: application to radiotherapy dose simulation. Zbl 1386.82064
Pichard, T.; Alldredge, G. W.; Brull, S.; Dubroca, B.; Frank, M.
2017
Asymptotic preserving numerical schemes for a non-classical radiation transport model for atmospheric clouds. Zbl 1276.65053
Krycki, Kai; Berthon, Christophe; Frank, Martin; Turpault, Rodolphe
2013
Derivation and analysis of lattice Boltzmann schemes for the linearized Euler equations. Zbl 1357.76070
Otte, Philipp; Frank, Martin
2016
Relaxation schemes for the $$M_1$$ model with space-dependent flux: application to radiotherapy dose calculation. Zbl 1388.65089
Pichard, Teddy; Aregba-Driollet, Denise; Brull, Stéphane; Dubroca, Bruno; Frank, Martin
2016
Partial moment entropy approximation to radiative heat transfer. Zbl 1391.80004
Frank, Martin
2005
Numerical methods for balance laws with space dependent flux: application to radiotherapy dose calculation. Zbl 1373.76116
Berthon, Christophe; Frank, Martin; Sarazin, Céline; Turpault, Rodolphe
2011
Portfolio optimization and model predictive control: A kinetic approach. Zbl 1426.91257
Trimborn, Torsten; Pareschi, Lorenzo; Frank, Martin
2019
The coolest path problem. Zbl 1262.35205
Frank, Martin; Fügenschuh, Armin; Herty, Michael; Schewe, Lars
2010
An iterative method for transport equations in radiotherapy. Zbl 1308.92048
Dubroca, Bruno; Frank, Martin
2010
On relaxation systems and their relation to discrete velocity Boltzmann models for scalar advection-diffusion equations. Zbl 1470.76080
Simonis, Stephan; Frank, Martin; Krause, Mathias J.
2020
Optimal radiotherapy treatment planning using minimum entropy models. Zbl 1308.92046
Barnard, Richard; Frank, Martin; Herty, Michael
2012
A structured approach to the construction of stable linear lattice Boltzmann collision operator. Zbl 1443.76182
Otte, Philipp; Frank, Martin
2020
Ray effect mitigation for the discrete ordinates method through quadrature rotation. Zbl 1451.65116
Camminady, Thomas; Frank, Martin; Küpper, Kerstin; Kusch, Jonas
2019
Attore Ausonio, predecessor of Giovanni Battista Benedetti as mathematician in service of the Duke of Savoy. (Ettore Ausonio, predecessore di Giovanni Battista Benedetti come matematico al servizio del Duca di Savoia.) Zbl 1332.01011
Frank, Martin
2014
Quasi-steady state reduction for the Michaelis-Menten reaction-diffusion system. Zbl 1394.92052
Frank, Martin; Lax, Christian; Walcher, Sebastian; Wittich, Olaf
2018
Existence and bounds for the half-moment entropy approximation to radiative transfer. Zbl 1107.85302
Frank, Martin; Pinnau, René
2007
Adaptive finite element simulation of the time-dependent simplified $$P_N$$ equations. Zbl 1368.65191
Frank, Martin; Lang, Jens; Schäfer, Matthias
2011
Partial moment models for radiative transfer. Zbl 1100.80001
Frank, Martin
2005
A proposal for a new dating of Guidobaldo dal Monte’s Meditatiunculae. Zbl 1294.01009
Frank, Martin
2013
CP phases in the leptonic sector of LRSUSY and leptogenesis. Zbl 1068.81604
Frank, M.
2004
Instantaneous closed loop control of the radiative transfer equations with applications in radiotherapy. Zbl 1236.92030
Frank, Martin; Herty, Michael; Hinze, Michael
2012
Radiative heat transfer and applications for glass production processes. Zbl 1223.80006
Frank, Martin; Klar, Axel
2011
On the transverse diffusion of beams of photons in radiation therapy. Zbl 1410.78011
Brull, S.; Dubroca, B.; Frank, M.; Pichard, T.
2018
On approximative linear Boltzmann transport equation for charged particles. Zbl 1470.35300
Tervo, J.; Kokkonen, P.; Frank, M.; Herty, M.
2018
Optimal prediction for moment models: crescendo diffusion and reordered equations. Zbl 1184.78076
Seibold, Benjamin; Frank, Martin
2009
Filtered stochastic Galerkin methods for hyperbolic equations. Zbl 1453.62579
Kusch, Jonas; McClarren, Ryan G.; Frank, Martin
2020
On relaxation systems and their relation to discrete velocity Boltzmann models for scalar advection-diffusion equations. Zbl 1470.76080
Simonis, Stephan; Frank, Martin; Krause, Mathias J.
2020
A structured approach to the construction of stable linear lattice Boltzmann collision operator. Zbl 1443.76182
Otte, Philipp; Frank, Martin
2020
Maximum-principle-satisfying second-order intrusive polynomial moment scheme. Zbl 1447.35082
Kusch, Jonas; Alldredge, Graham W.; Frank, Martin
2019
A regularized entropy-based moment method for kinetic equations. Zbl 1431.65167
Alldredge, Graham W.; Frank, Martin; Hauck, Cory D.
2019
A positive asymptotic-preserving scheme for linear kinetic transport equations. Zbl 1447.65025
Laiu, M. Paul; Frank, Martin; Hauck, Cory D.
2019
Portfolio optimization and model predictive control: A kinetic approach. Zbl 1426.91257
Trimborn, Torsten; Pareschi, Lorenzo; Frank, Martin
2019
Ray effect mitigation for the discrete ordinates method through quadrature rotation. Zbl 1451.65116
Camminady, Thomas; Frank, Martin; Küpper, Kerstin; Kusch, Jonas
2019
A comparative study of limiting strategies in discontinuous Galerkin schemes for the $$M_1$$ model of radiation transport. Zbl 1448.65153
Chidyagwai, Prince; Frank, Martin; Schneider, Florian; Seibold, Benjamin
2018
Fractional diffusion limits of non-classical transport equations. Zbl 1405.82013
Frank, Martin; Sun, Weiran
2018
Intrusive methods in uncertainty quantification and their connection to kinetic theory. Zbl 1397.65020
Kusch, Jonas; Frank, Martin
2018
On existence of solutions for Boltzmann continuous slowing down transport equation. Zbl 1382.35183
Tervo, J.; Kokkonen, P.; Frank, M.; Herty, M.
2018
Quasi-steady state reduction for the Michaelis-Menten reaction-diffusion system. Zbl 1394.92052
Frank, Martin; Lax, Christian; Walcher, Sebastian; Wittich, Olaf
2018
On the transverse diffusion of beams of photons in radiation therapy. Zbl 1410.78011
Brull, S.; Dubroca, B.; Frank, M.; Pichard, T.
2018
On approximative linear Boltzmann transport equation for charged particles. Zbl 1470.35300
Tervo, J.; Kokkonen, P.; Frank, M.; Herty, M.
2018
An approximation of the $$M_2$$ closure: application to radiotherapy dose simulation. Zbl 1386.82064
Pichard, T.; Alldredge, G. W.; Brull, S.; Dubroca, B.; Frank, M.
2017
Convergence of filtered spherical harmonic equations for radiation transport. Zbl 1355.33015
Frank, Martin; Hauck, Cory; Küpper, Kerstin
2016
An asymptotic preserving two-dimensional staggered grid method for multiscale transport equations. Zbl 1339.82008
Küpper, Kerstin; Frank, Martin; Jin, Shi
2016
Derivation and analysis of lattice Boltzmann schemes for the linearized Euler equations. Zbl 1357.76070
Otte, Philipp; Frank, Martin
2016
Relaxation schemes for the $$M_1$$ model with space-dependent flux: application to radiotherapy dose calculation. Zbl 1388.65089
Pichard, Teddy; Aregba-Driollet, Denise; Brull, Stéphane; Dubroca, Bruno; Frank, Martin
2016
The nonclassical Boltzmann equation and diffusion-based approximations to the Boltzmann equation. Zbl 1319.35154
Frank, Martin; Krycki, Kai; Larsen, Edward W.; Vasques, Richard
2015
Higher order mixed-moment approximations for the Fokker-Planck equation in one space dimension. Zbl 1307.35301
Schneider, Florian; Alldredge, Graham; Frank, Martin; Klar, Axel
2014
StaRMAP – a second order staggered grid method for spherical harmonics moment equations of radiative transfer. Zbl 1369.65103
Seibold, Benjamin; Frank, Martin
2014
Attore Ausonio, predecessor of Giovanni Battista Benedetti as mathematician in service of the Duke of Savoy. (Ettore Ausonio, predecessore di Giovanni Battista Benedetti come matematico al servizio del Duca di Savoia.) Zbl 1332.01011
Frank, Martin
2014
Perturbed, entropy-based closure for radiative transfer. Zbl 1264.85006
Frank, Martin; Hauck, Cory D.; Olbrant, Edgar
2013
Asymptotic derivation and numerical investigation of time-dependent simplified image equations. Zbl 1286.35188
Olbrant, E.; Larsen, E. W.; Frank, M.; Seibold, B.
2013
Asymptotic preserving numerical schemes for a non-classical radiation transport model for atmospheric clouds. Zbl 1276.65053
Krycki, Kai; Berthon, Christophe; Frank, Martin; Turpault, Rodolphe
2013
A proposal for a new dating of Guidobaldo dal Monte’s Meditatiunculae. Zbl 1294.01009
Frank, Martin
2013
A realizability-preserving discontinuous Galerkin method for the $$M_1$$ model of radiative transfer. Zbl 1277.65083
Olbrant, Edgar; Hauck, Cory D.; Frank, Martin
2012
Optimal radiotherapy treatment planning using minimum entropy models. Zbl 1308.92046
Barnard, Richard; Frank, Martin; Herty, Michael
2012
Instantaneous closed loop control of the radiative transfer equations with applications in radiotherapy. Zbl 1236.92030
Frank, Martin; Herty, Michael; Hinze, Michael
2012
Diffusive corrections to $$P_N$$ approximations. Zbl 1238.82033
Schäfer, Matthias; Frank, Martin; Levermore, C. David
2011
Optimal prediction for radiative transfer: a new perspective on moment closure. Zbl 1231.85003
Frank, Martin; Seibold, Benjamin
2011
Numerical methods for balance laws with space dependent flux: application to radiotherapy dose calculation. Zbl 1373.76116
Berthon, Christophe; Frank, Martin; Sarazin, Céline; Turpault, Rodolphe
2011
Adaptive finite element simulation of the time-dependent simplified $$P_N$$ equations. Zbl 1368.65191
Frank, Martin; Lang, Jens; Schäfer, Matthias
2011
Radiative heat transfer and applications for glass production processes. Zbl 1223.80006
Frank, Martin; Klar, Axel
2011
Optimal radiotherapy treatment planning governed by kinetic equations. Zbl 1255.49007
Frank, Martin; Herty, Michael; Sandjo, Albert N.
2010
On a generalized Boltzmann equation for non-classical particle transport. Zbl 1219.35166
Frank, Martin; Goudon, Thierry
2010
Optimal control of glass cooling using simplified $$P_N$$ theory. Zbl 1213.82074
Frank, Martin; Klar, Axel; Pinnau, René
2010
Generalized Fokker-Planck theory for electron and photon transport in biological tissues: application to radiotherapy. Zbl 1202.92045
Olbrant, Edgar; Frank, Martin
2010
The coolest path problem. Zbl 1262.35205
Frank, Martin; Fügenschuh, Armin; Herty, Michael; Schewe, Lars
2010
An iterative method for transport equations in radiotherapy. Zbl 1308.92048
Dubroca, Bruno; Frank, Martin
2010
The minimum entropy approximation to the radiative transfer equation. Zbl 1186.85023
Wright, Daniel; Frank, Martin; Klar, Axel
2009
Optimal prediction for moment models: crescendo diffusion and reordered equations. Zbl 1184.78076
Seibold, Benjamin; Frank, Martin
2009
Optimal treatment planning in radiotherapy based on Boltzmann transport calculations. Zbl 1143.76058
Frank, Martin; Herty, Michael; Schäfer, Matthias
2008
Time-dependent simplified $$P_{N}$$ approximation to the equations of radiative transfer. Zbl 1128.65107
Frank, Martin; Klar, Axel; Larsen, Edward W.; Yasuda, Shugo
2007
A fast and accurate moment method for the Fokker–Planck equation and applications to electron radiotherapy. Zbl 1123.78011
Frank, Martin; Hensel, Hartmut; Klar, Axel
2007
Approximate models for radiative transfer. Zbl 1130.85006
Frank, Martin
2007
Existence and bounds for the half-moment entropy approximation to radiative transfer. Zbl 1107.85302
Frank, Martin; Pinnau, René
2007
Partial moment entropy approximation to radiative heat transfer. Zbl 1104.65124
Frank, Martin; Dubroca, Bruno; Klar, Axel
2006
A hierarchy of approximations to the radiative heat transfer equations: modelling, analysis and simulation. Zbl 1085.85002
Schäfer, Matthias; Frank, Martin; Pinnau, René
2005
Partial moment entropy approximation to radiative heat transfer. Zbl 1391.80004
Frank, Martin
2005
Partial moment models for radiative transfer. Zbl 1100.80001
Frank, Martin
2005
Efficient numerical methods for radiation in gas turbines. Zbl 1221.80023
Seaïd, M.; Frank, M.; Klar, A.; Pinnau, R.; Thömmes, G.
2004
Multigroup half space moment approximations to the radiative heat transfer equations. Zbl 1053.65101
Turpault, R.; Frank, M.; Dubroca, B.; Klar, A.
2004
MAAN: A multi-attribute addressable network for grid information services. Zbl 1075.68528
Cai, Min; Frank, Martin; Chen, Jinbo; Szekely, Pedro
2004
CP phases in the leptonic sector of LRSUSY and leptogenesis. Zbl 1068.81604
Frank, M.
2004
Particle migration in pressure-driven flow of a Brownian suspensions. Zbl 1049.76507
Frank, Martin; Anderson, Douglas; Weeks, Eric R.; Morris, Jeffrey F.
2003
A half space moment approximation to the radiative heat transfer equations. Zbl 1103.80300
Dubroca, B.; Frank, M.; Klar, A.; Thömmes, G.
2003
Visual analysis of two-dimensional magnetohydrodynamics. Zbl 1184.76168
Frank, M.; Barleon, L.; Müller, U.
2001
Improvement of $$K_ 2$$-entropy calculations by means of dimension scaled distances. Zbl 0772.60105
Frank, M.; Blank, H.-R.; Heindl, J.; Kaltenhäuser, M.; Köchner, H.; Kreische, W.; Müller, N.; Poscher, S.; Sporer, R.; Wagner, T.
1993
all top 5

### Cited by 346 Authors

 33 Frank, Martin 18 Seaïd, Mohammed 17 Hauck, Cory D. 14 Schneider, Florian H. 13 Klar, Axel 12 Herty, Michael Matthias 12 Pinnau, René 11 McClarren, Ryan G. 10 Dubroca, Bruno 8 Alldredge, Graham W. 8 Chebotarev, Alexander Yurievich 7 Brull, Stephane 6 Vasques, Richard 5 Botkin, Nikolai D. 5 Grenkin, Gleb Vladimirovich 5 Kovtanyuk, Andrey Egorovich 5 Kusch, Jonas 5 Li, Ruo 5 Turpault, Rodolphe 4 Guisset, Sebastien 4 Hoffmann, Karl-Heinz 4 Laghrouche, Omar 4 Leibner, Tobias 4 Mohamed, M. Shadi 4 Pichard, Teddy 3 Barnard, Richard C. 3 di Stefano, Vincenza 3 Fan, Yuwei 3 Favennec, Yann 3 Garrett, C. Kristopher 3 Jolivet, Pierre 3 Laiu, M. Paul 3 Moraes, L. R. C. 3 Olson, Gordon L. 3 Poëtte, Gaël 3 Ren, Kui 3 Sauter, Esequia 3 Schäfer, Matthias 3 Schlachter, Louisa 3 Seibold, Benjamin 3 Smith, Frank T. 3 Teleaga, Ioan 3 Tervo, Jouko 3 Trevelyan, Jon 3 Zheng, Lingchao 2 Azevedo, Fabio Souto 2 Banach, Zbigniew 2 Banda, Mapundi Kondwani 2 Bellomo, Nicola 2 Berthon, Christophe 2 Borsche, Raul 2 Cui, Xia 2 Dai, Dihan 2 Danchin, Raphaël 2 d’Eon, Eugene 2 Ducomet, Bernard 2 Endeve, Eirik 2 Epshteyn, Yekaterina 2 Fügenschuh, Armin R. 2 Gasser, Ingenuin 2 Ghattassi, Mohamed 2 Giani, Stefano 2 Gnegel, Fabian 2 Hermeline, François 2 Kall, Jochen 2 Kokkonen, Petri 2 Krause, Mathias J. 2 Krycki, Kai 2 Larecki, Wieslaw 2 Larsen, Edward W. 2 Li, Weiming 2 Mezzacappa, Anthony 2 Morris, Jeffrey F. 2 Muscato, Orazio 2 Narayan, Akil C. 2 Nazockdast, Ehssan N. 2 O’Leary, Dianne P. 2 Rousseau, Benoit 2 Sandjo, Albert N. 2 Sarna, Neeraj 2 Schlottbom, Matthias 2 Schulze, Alexander 2 Shen, Zhijun 2 Siedow, Norbert 2 Simonis, Stephan 2 Slaybaugh, R. N. 2 Tits, André Leon 2 Torrilhon, Manuel 2 Tse, Oliver 2 Wang, Wenjun 2 Xiao, Tianbai 2 Yuan, Guangwei 2 Zhang, Xiaojiang 2 Zhong, Yimin 1 Addam, Mohamed 1 Ahmedov, Bahodir B. 1 An, Jing 1 Andreopoulos, Yiannis 1 Anguill, Pierre 1 Aregba-Driollet, Denise ...and 246 more Authors
all top 5

### Cited in 73 Serials

 57 Journal of Computational Physics 13 Kinetic and Related Models 10 Journal of Computational and Theoretical Transport 9 Computers & Mathematics with Applications 9 Journal of Fluid Mechanics 9 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 9 Communications in Computational Physics 8 Journal of Computational and Applied Mathematics 8 Journal of Scientific Computing 6 Journal of Mathematical Analysis and Applications 6 Transport Theory and Statistical Physics 5 SIAM Journal on Numerical Analysis 4 Applied Mathematics and Computation 4 SIAM Journal on Applied Mathematics 4 SIAM Journal on Scientific Computing 3 Computer Methods in Applied Mechanics and Engineering 3 Physics of Fluids 3 Multiscale Modeling & Simulation 2 Archive for History of Exact Sciences 2 International Journal of Heat and Mass Transfer 2 Physica A 2 Computing 2 Mathematics and Computers in Simulation 2 Applied Numerical Mathematics 2 Applied Mathematics Letters 2 Journal of Parallel and Distributed Computing 2 Computational Mathematics and Mathematical Physics 2 SIAM Journal on Mathematical Analysis 2 Continuum Mechanics and Thermodynamics 2 Nonlinear Analysis. Real World Applications 1 Computers and Fluids 1 Journal of Engineering Mathematics 1 Journal of Mathematical Biology 1 Journal of Statistical Physics 1 Mathematical Methods in the Applied Sciences 1 Physics Letters. A 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 ACM Transactions on Mathematical Software 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Probability 1 International Journal for Numerical Methods in Engineering 1 Journal of Approximation Theory 1 Journal of Differential Equations 1 Numerical Methods for Partial Differential Equations 1 International Journal of Foundations of Computer Science 1 Applied Mathematical Modelling 1 International Journal of Computer Mathematics 1 Mathematical Programming. Series A. Series B 1 Journal of Nonlinear Science 1 Computational Optimization and Applications 1 Communications in Numerical Methods in Engineering 1 Computational and Applied Mathematics 1 Mathematical Problems in Engineering 1 European Journal of Control 1 Optimization Methods & Software 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 European Journal of Mechanics. B. Fluids 1 Flow, Turbulence and Combustion 1 Acta Mathematica Sinica. English Series 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Evolution Equations 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Numerical Mathematics 1 International Journal of Numerical Analysis and Modeling 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Inverse Problems in Science and Engineering 1 Networks and Heterogeneous Media 1 SIAM Journal on Imaging Sciences 1 Science China. Information Sciences 1 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal 1 International Journal of Advances in Engineering Sciences and Applied Mathematics 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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### Cited in 34 Fields

 120 Numerical analysis (65-XX) 101 Partial differential equations (35-XX) 79 Statistical mechanics, structure of matter (82-XX) 56 Fluid mechanics (76-XX) 44 Classical thermodynamics, heat transfer (80-XX) 25 Integral equations (45-XX) 22 Optics, electromagnetic theory (78-XX) 19 Biology and other natural sciences (92-XX) 18 Astronomy and astrophysics (85-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 8 Computer science (68-XX) 7 Probability theory and stochastic processes (60-XX) 7 Operations research, mathematical programming (90-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Approximations and expansions (41-XX) 5 Special functions (33-XX) 5 Mechanics of deformable solids (74-XX) 5 Systems theory; control (93-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Mechanics of particles and systems (70-XX) 3 History and biography (01-XX) 3 Operator theory (47-XX) 3 Information and communication theory, circuits (94-XX) 2 Real functions (26-XX) 2 Ordinary differential equations (34-XX) 2 Functional analysis (46-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)