Edit Profile (opens in new tab) Frank, Martin Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 1221.80023Seaïd, M.; Frank, M.; Klar, A.; Pinnau, R.; Thömmes, G. 29 2004 Time-dependent simplified \(P_{N}\) approximation to the equations of radiative transfer. Zbl 1128.65107Frank, Martin; Klar, Axel; Larsen, Edward W.; Yasuda, Shugo 27 2007 Partial moment entropy approximation to radiative heat transfer. Zbl 1104.65124Frank, Martin; Dubroca, Bruno; Klar, Axel 24 2006 Higher order mixed-moment approximations for the Fokker-Planck equation in one space dimension. Zbl 1307.35301Schneider, Florian; Alldredge, Graham; Frank, Martin; Klar, Axel 20 2014 A realizability-preserving discontinuous Galerkin method for the \(M_1\) model of radiative transfer. Zbl 1277.65083Olbrant, Edgar; Hauck, Cory D.; Frank, Martin 20 2012 A fast and accurate moment method for the Fokker–Planck equation and applications to electron radiotherapy. Zbl 1123.78011Frank, Martin; Hensel, Hartmut; Klar, Axel 18 2007 Particle migration in pressure-driven flow of a Brownian suspensions. Zbl 1049.76507Frank, Martin; Anderson, Douglas; Weeks, Eric R.; Morris, Jeffrey F. 14 2003 Multigroup half space moment approximations to the radiative heat transfer equations. Zbl 1053.65101Turpault, R.; Frank, M.; Dubroca, B.; Klar, A. 14 2004 Convergence of filtered spherical harmonic equations for radiation transport. Zbl 1355.33015Frank, Martin; Hauck, Cory; Küpper, Kerstin 14 2016 StaRMAP – a second order staggered grid method for spherical harmonics moment equations of radiative transfer. Zbl 1369.65103Seibold, Benjamin; Frank, Martin 14 2014 Perturbed, entropy-based closure for radiative transfer. Zbl 1264.85006Frank, Martin; Hauck, Cory D.; Olbrant, Edgar 13 2013 A half space moment approximation to the radiative heat transfer equations. Zbl 1103.80300Dubroca, B.; Frank, M.; Klar, A.; Thömmes, G. 12 2003 Visual analysis of two-dimensional magnetohydrodynamics. Zbl 1184.76168Frank, M.; Barleon, L.; Müller, U. 11 2001 Optimal radiotherapy treatment planning governed by kinetic equations. Zbl 1255.49007Frank, Martin; Herty, Michael; Sandjo, Albert N. 10 2010 On a generalized Boltzmann equation for non-classical particle transport. Zbl 1219.35166Frank, Martin; Goudon, Thierry 10 2010 Optimal treatment planning in radiotherapy based on Boltzmann transport calculations. Zbl 1143.76058Frank, Martin; Herty, Michael; Schäfer, Matthias 10 2008 Optimal control of glass cooling using simplified \(P_N\) theory. Zbl 1213.82074Frank, Martin; Klar, Axel; Pinnau, René 10 2010 Approximate models for radiative transfer. Zbl 1130.85006Frank, Martin 10 2007 Maximum-principle-satisfying second-order intrusive polynomial moment scheme. Zbl 1447.35082Kusch, Jonas; Alldredge, Graham W.; Frank, Martin 9 2019 Filtered stochastic Galerkin methods for hyperbolic equations. Zbl 1453.62579Kusch, Jonas; McClarren, Ryan G.; Frank, Martin 9 2020 Diffusive corrections to \(P_N\) approximations. Zbl 1238.82033Schäfer, Matthias; Frank, Martin; Levermore, C. David 9 2011 Improvement of \(K_ 2\)-entropy calculations by means of dimension scaled distances. Zbl 0772.60105Frank, M.; Blank, H.-R.; Heindl, J.; Kaltenhäuser, M.; Köchner, H.; Kreische, W.; Müller, N.; Poscher, S.; Sporer, R.; Wagner, T. 7 1993 The nonclassical Boltzmann equation and diffusion-based approximations to the Boltzmann equation. Zbl 1319.35154Frank, Martin; Krycki, Kai; Larsen, Edward W.; Vasques, Richard 7 2015 Asymptotic derivation and numerical investigation of time-dependent simplified image equations. Zbl 1286.35188Olbrant, E.; Larsen, E. W.; Frank, M.; Seibold, B. 7 2013 Generalized Fokker-Planck theory for electron and photon transport in biological tissues: application to radiotherapy. Zbl 1202.92045Olbrant, Edgar; Frank, Martin 6 2010 A regularized entropy-based moment method for kinetic equations. Zbl 1431.65167Alldredge, Graham W.; Frank, Martin; Hauck, Cory D. 6 2019 A comparative study of limiting strategies in discontinuous Galerkin schemes for the \(M_1\) model of radiation transport. Zbl 1448.65153Chidyagwai, Prince; Frank, Martin; Schneider, Florian; Seibold, Benjamin 5 2018 The minimum entropy approximation to the radiative transfer equation. Zbl 1186.85023Wright, Daniel; Frank, Martin; Klar, Axel 5 2009 MAAN: A multi-attribute addressable network for grid information services. Zbl 1075.68528Cai, Min; Frank, Martin; Chen, Jinbo; Szekely, Pedro 5 2004 A hierarchy of approximations to the radiative heat transfer equations: modelling, analysis and simulation. Zbl 1085.85002Schäfer, Matthias; Frank, Martin; Pinnau, René 5 2005 Fractional diffusion limits of non-classical transport equations. Zbl 1405.82013Frank, Martin; Sun, Weiran 5 2018 An asymptotic preserving two-dimensional staggered grid method for multiscale transport equations. Zbl 1339.82008Küpper, Kerstin; Frank, Martin; Jin, Shi 5 2016 Optimal prediction for radiative transfer: a new perspective on moment closure. Zbl 1231.85003Frank, Martin; Seibold, Benjamin 5 2011 A positive asymptotic-preserving scheme for linear kinetic transport equations. Zbl 1447.65025Laiu, M. Paul; Frank, Martin; Hauck, Cory D. 4 2019 Intrusive methods in uncertainty quantification and their connection to kinetic theory. Zbl 1397.65020Kusch, Jonas; Frank, Martin 4 2018 On existence of solutions for Boltzmann continuous slowing down transport equation. Zbl 1382.35183Tervo, J.; Kokkonen, P.; Frank, M.; Herty, M. 4 2018 An approximation of the \(M_2\) closure: application to radiotherapy dose simulation. Zbl 1386.82064Pichard, T.; Alldredge, G. W.; Brull, S.; Dubroca, B.; Frank, M. 4 2017 Asymptotic preserving numerical schemes for a non-classical radiation transport model for atmospheric clouds. Zbl 1276.65053Krycki, Kai; Berthon, Christophe; Frank, Martin; Turpault, Rodolphe 4 2013 Derivation and analysis of lattice Boltzmann schemes for the linearized Euler equations. Zbl 1357.76070Otte, Philipp; Frank, Martin 4 2016 Relaxation schemes for the \(M_1\) model with space-dependent flux: application to radiotherapy dose calculation. Zbl 1388.65089Pichard, Teddy; Aregba-Driollet, Denise; Brull, Stéphane; Dubroca, Bruno; Frank, Martin 4 2016 Partial moment entropy approximation to radiative heat transfer. Zbl 1391.80004Frank, Martin 3 2005 Numerical methods for balance laws with space dependent flux: application to radiotherapy dose calculation. Zbl 1373.76116Berthon, Christophe; Frank, Martin; Sarazin, Céline; Turpault, Rodolphe 3 2011 Portfolio optimization and model predictive control: A kinetic approach. Zbl 1426.91257Trimborn, Torsten; Pareschi, Lorenzo; Frank, Martin 2 2019 The coolest path problem. Zbl 1262.35205Frank, Martin; Fügenschuh, Armin; Herty, Michael; Schewe, Lars 2 2010 An iterative method for transport equations in radiotherapy. Zbl 1308.92048Dubroca, Bruno; Frank, Martin 2 2010 On relaxation systems and their relation to discrete velocity Boltzmann models for scalar advection-diffusion equations. Zbl 1470.76080Simonis, Stephan; Frank, Martin; Krause, Mathias J. 1 2020 Optimal radiotherapy treatment planning using minimum entropy models. Zbl 1308.92046Barnard, Richard; Frank, Martin; Herty, Michael 1 2012 A structured approach to the construction of stable linear lattice Boltzmann collision operator. Zbl 1443.76182Otte, Philipp; Frank, Martin 1 2020 Ray effect mitigation for the discrete ordinates method through quadrature rotation. Zbl 1451.65116Camminady, Thomas; Frank, Martin; Küpper, Kerstin; Kusch, Jonas 1 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 1332.01011Frank, Martin 1 2014 Quasi-steady state reduction for the Michaelis-Menten reaction-diffusion system. Zbl 1394.92052Frank, Martin; Lax, Christian; Walcher, Sebastian; Wittich, Olaf 1 2018 Existence and bounds for the half-moment entropy approximation to radiative transfer. Zbl 1107.85302Frank, Martin; Pinnau, René 1 2007 Adaptive finite element simulation of the time-dependent simplified \(P_N\) equations. Zbl 1368.65191Frank, Martin; Lang, Jens; Schäfer, Matthias 1 2011 Partial moment models for radiative transfer. Zbl 1100.80001Frank, Martin 1 2005 A proposal for a new dating of Guidobaldo dal Monte’s Meditatiunculae. Zbl 1294.01009Frank, Martin 1 2013 CP phases in the leptonic sector of LRSUSY and leptogenesis. Zbl 1068.81604Frank, M. 1 2004 Instantaneous closed loop control of the radiative transfer equations with applications in radiotherapy. Zbl 1236.92030Frank, Martin; Herty, Michael; Hinze, Michael 1 2012 Radiative heat transfer and applications for glass production processes. Zbl 1223.80006Frank, Martin; Klar, Axel 1 2011 On the transverse diffusion of beams of photons in radiation therapy. Zbl 1410.78011Brull, S.; Dubroca, B.; Frank, M.; Pichard, T. 1 2018 On approximative linear Boltzmann transport equation for charged particles. Zbl 1470.35300Tervo, J.; Kokkonen, P.; Frank, M.; Herty, M. 1 2018 Optimal prediction for moment models: crescendo diffusion and reordered equations. Zbl 1184.78076Seibold, Benjamin; Frank, Martin 1 2009 Filtered stochastic Galerkin methods for hyperbolic equations. Zbl 1453.62579Kusch, Jonas; McClarren, Ryan G.; Frank, Martin 9 2020 On relaxation systems and their relation to discrete velocity Boltzmann models for scalar advection-diffusion equations. Zbl 1470.76080Simonis, Stephan; Frank, Martin; Krause, Mathias J. 1 2020 A structured approach to the construction of stable linear lattice Boltzmann collision operator. Zbl 1443.76182Otte, Philipp; Frank, Martin 1 2020 Maximum-principle-satisfying second-order intrusive polynomial moment scheme. Zbl 1447.35082Kusch, Jonas; Alldredge, Graham W.; Frank, Martin 9 2019 A regularized entropy-based moment method for kinetic equations. Zbl 1431.65167Alldredge, Graham W.; Frank, Martin; Hauck, Cory D. 6 2019 A positive asymptotic-preserving scheme for linear kinetic transport equations. Zbl 1447.65025Laiu, M. Paul; Frank, Martin; Hauck, Cory D. 4 2019 Portfolio optimization and model predictive control: A kinetic approach. Zbl 1426.91257Trimborn, Torsten; Pareschi, Lorenzo; Frank, Martin 2 2019 Ray effect mitigation for the discrete ordinates method through quadrature rotation. Zbl 1451.65116Camminady, Thomas; Frank, Martin; Küpper, Kerstin; Kusch, Jonas 1 2019 A comparative study of limiting strategies in discontinuous Galerkin schemes for the \(M_1\) model of radiation transport. Zbl 1448.65153Chidyagwai, Prince; Frank, Martin; Schneider, Florian; Seibold, Benjamin 5 2018 Fractional diffusion limits of non-classical transport equations. Zbl 1405.82013Frank, Martin; Sun, Weiran 5 2018 Intrusive methods in uncertainty quantification and their connection to kinetic theory. Zbl 1397.65020Kusch, Jonas; Frank, Martin 4 2018 On existence of solutions for Boltzmann continuous slowing down transport equation. Zbl 1382.35183Tervo, J.; Kokkonen, P.; Frank, M.; Herty, M. 4 2018 Quasi-steady state reduction for the Michaelis-Menten reaction-diffusion system. Zbl 1394.92052Frank, Martin; Lax, Christian; Walcher, Sebastian; Wittich, Olaf 1 2018 On the transverse diffusion of beams of photons in radiation therapy. Zbl 1410.78011Brull, S.; Dubroca, B.; Frank, M.; Pichard, T. 1 2018 On approximative linear Boltzmann transport equation for charged particles. Zbl 1470.35300Tervo, J.; Kokkonen, P.; Frank, M.; Herty, M. 1 2018 An approximation of the \(M_2\) closure: application to radiotherapy dose simulation. Zbl 1386.82064Pichard, T.; Alldredge, G. W.; Brull, S.; Dubroca, B.; Frank, M. 4 2017 Convergence of filtered spherical harmonic equations for radiation transport. Zbl 1355.33015Frank, Martin; Hauck, Cory; Küpper, Kerstin 14 2016 An asymptotic preserving two-dimensional staggered grid method for multiscale transport equations. Zbl 1339.82008Küpper, Kerstin; Frank, Martin; Jin, Shi 5 2016 Derivation and analysis of lattice Boltzmann schemes for the linearized Euler equations. Zbl 1357.76070Otte, Philipp; Frank, Martin 4 2016 Relaxation schemes for the \(M_1\) model with space-dependent flux: application to radiotherapy dose calculation. Zbl 1388.65089Pichard, Teddy; Aregba-Driollet, Denise; Brull, Stéphane; Dubroca, Bruno; Frank, Martin 4 2016 The nonclassical Boltzmann equation and diffusion-based approximations to the Boltzmann equation. Zbl 1319.35154Frank, Martin; Krycki, Kai; Larsen, Edward W.; Vasques, Richard 7 2015 Higher order mixed-moment approximations for the Fokker-Planck equation in one space dimension. Zbl 1307.35301Schneider, Florian; Alldredge, Graham; Frank, Martin; Klar, Axel 20 2014 StaRMAP – a second order staggered grid method for spherical harmonics moment equations of radiative transfer. Zbl 1369.65103Seibold, Benjamin; Frank, Martin 14 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 1332.01011Frank, Martin 1 2014 Perturbed, entropy-based closure for radiative transfer. Zbl 1264.85006Frank, Martin; Hauck, Cory D.; Olbrant, Edgar 13 2013 Asymptotic derivation and numerical investigation of time-dependent simplified image equations. Zbl 1286.35188Olbrant, E.; Larsen, E. W.; Frank, M.; Seibold, B. 7 2013 Asymptotic preserving numerical schemes for a non-classical radiation transport model for atmospheric clouds. Zbl 1276.65053Krycki, Kai; Berthon, Christophe; Frank, Martin; Turpault, Rodolphe 4 2013 A proposal for a new dating of Guidobaldo dal Monte’s Meditatiunculae. Zbl 1294.01009Frank, Martin 1 2013 A realizability-preserving discontinuous Galerkin method for the \(M_1\) model of radiative transfer. Zbl 1277.65083Olbrant, Edgar; Hauck, Cory D.; Frank, Martin 20 2012 Optimal radiotherapy treatment planning using minimum entropy models. Zbl 1308.92046Barnard, Richard; Frank, Martin; Herty, Michael 1 2012 Instantaneous closed loop control of the radiative transfer equations with applications in radiotherapy. Zbl 1236.92030Frank, Martin; Herty, Michael; Hinze, Michael 1 2012 Diffusive corrections to \(P_N\) approximations. Zbl 1238.82033Schäfer, Matthias; Frank, Martin; Levermore, C. David 9 2011 Optimal prediction for radiative transfer: a new perspective on moment closure. Zbl 1231.85003Frank, Martin; Seibold, Benjamin 5 2011 Numerical methods for balance laws with space dependent flux: application to radiotherapy dose calculation. Zbl 1373.76116Berthon, Christophe; Frank, Martin; Sarazin, Céline; Turpault, Rodolphe 3 2011 Adaptive finite element simulation of the time-dependent simplified \(P_N\) equations. Zbl 1368.65191Frank, Martin; Lang, Jens; Schäfer, Matthias 1 2011 Radiative heat transfer and applications for glass production processes. Zbl 1223.80006Frank, Martin; Klar, Axel 1 2011 Optimal radiotherapy treatment planning governed by kinetic equations. Zbl 1255.49007Frank, Martin; Herty, Michael; Sandjo, Albert N. 10 2010 On a generalized Boltzmann equation for non-classical particle transport. Zbl 1219.35166Frank, Martin; Goudon, Thierry 10 2010 Optimal control of glass cooling using simplified \(P_N\) theory. Zbl 1213.82074Frank, Martin; Klar, Axel; Pinnau, René 10 2010 Generalized Fokker-Planck theory for electron and photon transport in biological tissues: application to radiotherapy. Zbl 1202.92045Olbrant, Edgar; Frank, Martin 6 2010 The coolest path problem. Zbl 1262.35205Frank, Martin; Fügenschuh, Armin; Herty, Michael; Schewe, Lars 2 2010 An iterative method for transport equations in radiotherapy. Zbl 1308.92048Dubroca, Bruno; Frank, Martin 2 2010 The minimum entropy approximation to the radiative transfer equation. Zbl 1186.85023Wright, Daniel; Frank, Martin; Klar, Axel 5 2009 Optimal prediction for moment models: crescendo diffusion and reordered equations. Zbl 1184.78076Seibold, Benjamin; Frank, Martin 1 2009 Optimal treatment planning in radiotherapy based on Boltzmann transport calculations. Zbl 1143.76058Frank, Martin; Herty, Michael; Schäfer, Matthias 10 2008 Time-dependent simplified \(P_{N}\) approximation to the equations of radiative transfer. Zbl 1128.65107Frank, Martin; Klar, Axel; Larsen, Edward W.; Yasuda, Shugo 27 2007 A fast and accurate moment method for the Fokker–Planck equation and applications to electron radiotherapy. Zbl 1123.78011Frank, Martin; Hensel, Hartmut; Klar, Axel 18 2007 Approximate models for radiative transfer. Zbl 1130.85006Frank, Martin 10 2007 Existence and bounds for the half-moment entropy approximation to radiative transfer. Zbl 1107.85302Frank, Martin; Pinnau, René 1 2007 Partial moment entropy approximation to radiative heat transfer. Zbl 1104.65124Frank, Martin; Dubroca, Bruno; Klar, Axel 24 2006 A hierarchy of approximations to the radiative heat transfer equations: modelling, analysis and simulation. Zbl 1085.85002Schäfer, Matthias; Frank, Martin; Pinnau, René 5 2005 Partial moment entropy approximation to radiative heat transfer. Zbl 1391.80004Frank, Martin 3 2005 Partial moment models for radiative transfer. Zbl 1100.80001Frank, Martin 1 2005 Efficient numerical methods for radiation in gas turbines. Zbl 1221.80023Seaïd, M.; Frank, M.; Klar, A.; Pinnau, R.; Thömmes, G. 29 2004 Multigroup half space moment approximations to the radiative heat transfer equations. Zbl 1053.65101Turpault, R.; Frank, M.; Dubroca, B.; Klar, A. 14 2004 MAAN: A multi-attribute addressable network for grid information services. Zbl 1075.68528Cai, Min; Frank, Martin; Chen, Jinbo; Szekely, Pedro 5 2004 CP phases in the leptonic sector of LRSUSY and leptogenesis. Zbl 1068.81604Frank, M. 1 2004 Particle migration in pressure-driven flow of a Brownian suspensions. Zbl 1049.76507Frank, Martin; Anderson, Douglas; Weeks, Eric R.; Morris, Jeffrey F. 14 2003 A half space moment approximation to the radiative heat transfer equations. Zbl 1103.80300Dubroca, B.; Frank, M.; Klar, A.; Thömmes, G. 12 2003 Visual analysis of two-dimensional magnetohydrodynamics. Zbl 1184.76168Frank, M.; Barleon, L.; Müller, U. 11 2001 Improvement of \(K_ 2\)-entropy calculations by means of dimension scaled distances. Zbl 0772.60105Frank, M.; Blank, H.-R.; Heindl, J.; Kaltenhäuser, M.; Köchner, H.; Kreische, W.; Müller, N.; Poscher, S.; Sporer, R.; Wagner, T. 7 1993 all cited Publications top 5 cited Publications 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 all top 5 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) Citations by Year