Edit Profile (opens in new tab) Torrilhon, Manuel Compute Distance To: Compute Author ID: torrilhon.manuel Published as: Torrilhon, Manuel; Torrilhon, M. External Links: MGP · ORCID Documents Indexed: 73 Publications since 2000 2 Contributions as Editor Co-Authors: 50 Co-Authors with 64 Joint Publications 954 Co-Co-Authors all top 5 Co-Authors 11 single-authored 10 Struchtrup, Henning 6 Sarna, Neeraj 5 Gupta, Vinay Kumar 5 Jeltsch, Rolf 5 Koellermeier, Julian 4 Schaerer, Roman Pascal 4 Schmidtmann, Birte 3 Au, Jörg D. 3 Čada, Miroslav 3 Fey, Michael 3 Gorji, Mohammad Hossein 3 Rana, Anirudh Singh 3 Weiss, Wolf 2 Cai, Zhenning 2 Jenny, Patrick 2 Taheri, Peyman 2 Westerkamp, Armin 1 Abgrall, Rémi 1 Artebrant, Robert 1 Balsara, Dinshaw S. 1 Bansal, Pratyuksh 1 Böhmer, Niclas 1 Després, Bruno 1 Dumbser, Michael 1 Fan, Yuwei 1 Giesselmann, Jan 1 Heinz, Stefan 1 Jud, Roman 1 Junk, Michael 1 Kamm, James R. 1 Kapadia, Harshit 1 Kastner, Oliver 1 Kauf, Peter 1 Kocur, Georg Karl 1 Kowalski, Julia 1 Li, Ruo 1 McDonald, James G. 1 Mevenkamp, N. 1 Müller, Wolfgang H. 1 Oblapenko, Georgii 1 Öttinger, Hans Christian 1 Pinard, P. T. 1 Sadr, Mohsen 1 Saenger, Erik H. 1 Seelecke, Stefan 1 Seibold, Benjamin 1 Shukla, Priyanka 1 Sprittles, James E. 1 Theisen, Lambert 1 Xu, Kun all top 5 Serials 17 Journal of Computational Physics 5 Communications in Computational Physics 4 Journal of Fluid Mechanics 4 Continuum Mechanics and Thermodynamics 4 Physics of Fluids 3 Journal of Statistical Physics 3 SIAM Journal on Scientific Computing 2 Computers & Mathematics with Applications 2 SIAM Journal on Numerical Analysis 2 Journal of Scientific Computing 2 European Journal of Mechanics. B. Fluids 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Kinetic and Related Models 1 IMA Journal of Numerical Analysis 1 Physica A 1 ACM Transactions on Mathematical Software 1 BIT 1 Numerische Mathematik 1 Applied Numerical Mathematics 1 Applied Mathematical Modelling 1 Multiscale Modeling & Simulation 1 Oberwolfach Reports 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Proceedings A. Royal Society of London 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Fields 53 Fluid mechanics (76-XX) 32 Numerical analysis (65-XX) 27 Partial differential equations (35-XX) 24 Statistical mechanics, structure of matter (82-XX) 3 Mechanics of deformable solids (74-XX) 2 General and overarching topics; collections (00-XX) 2 Ordinary differential equations (34-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Integral equations (45-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 62 Publications have been cited 845 times in 383 Documents Cited by ▼ Year ▼ Regularization of grad’s 13 moment equations: derivation and linear analysis. Zbl 1186.76504Struchtrup, Henning; Torrilhon, Manuel 112 2003 Regularized 13-moment equations: shock structure calculations and comparison to Burnett models. Zbl 1107.76069Torrilhon, M.; Struchtrup, H. 57 2004 Boundary conditions for regularized 13-moment-equations for micro-channel-flows. Zbl 1132.76049Torrilhon, Manuel; Struchtrup, Henning 49 2008 Modeling nonequilibrium gas flow based on moment equations. Zbl 1356.76297Torrilhon, Manuel 47 2016 A solution algorithm for the fluid dynamic equations based on a stochastic model for molecular motion. Zbl 1285.76031Jenny, Patrick; Torrilhon, Manuel; Heinz, Stefan 31 2010 Fokker-Planck model for computational studies of monatomic rarefied gas flows. Zbl 1241.76342Gorji, M. H.; Torrilhon, M.; Jenny, P. 30 2011 Compact third-order limiter functions for finite volume methods. Zbl 1273.76286Čada, Miroslav; Torrilhon, Manuel 29 2009 Affordable robust moment closures for CFD based on the maximum-entropy hierarchy. Zbl 1349.82057McDonald, James; Torrilhon, Manuel 29 2013 A robust numerical method for the R13 equations of rarefied gas dynamics: application to lid driven cavity. Zbl 1286.76130Rana, Anirudh; Torrilhon, Manuel; Struchtrup, Henning 27 2013 Two-dimensional bulk microflow simulations based on regularized grad’s 13-moment equations. Zbl 1388.76340Torrilhon, Manuel 25 2006 Locally divergence-preserving upwind finite volume schemes for magnetohydrodynamic equations. Zbl 1149.76693Torrilhon, Manuel 21 2005 Model reduction of kinetic equations by operator projection. Zbl 1335.35175Fan, Yuwei; Koellermeier, Julian; Li, Jun; Li, Ruo; Torrilhon, Manuel 20 2016 Couette and poiseuille microflows: analytical solutions for regularized 13-moment equations. Zbl 1183.76503Taheri, Peyman; Torrilhon, Manuel; Struchtrup, Henning 19 2009 Hyperbolic moment equations in kinetic gas theory based on multi-variate Pearson-IV-distributions. Zbl 1364.82050Torrilhon, Manuel 16 2010 Constraint-preserving upwind methods for multidimensional advection equations. Zbl 1146.76621Torrilhon, M.; Fey, M. 16 2004 A framework for hyperbolic approximation of kinetic equations using quadrature-based projection methods. Zbl 1304.35475Koellermeier, Julian; Schaerer, Roman Pascal; Torrilhon, Manuel 16 2014 Convergence study of moment approximations for boundary value problems of the Boltzmann-BGK equation. Zbl 1373.82037Torrilhon, Manuel 15 2015 Essentially optimal explicit Runge-Kutta methods with application to hyperbolic-parabolic equations. Zbl 1113.65074Torrilhon, Manuel; Jeltsch, Rolf 15 2007 Slow gas microflow past a sphere: analytical solution based on moment equations. Zbl 1190.76123Torrilhon, Manuel 14 2010 A constrained transport upwind scheme for divergence-free advection. Zbl 1134.76394Fey, Michael; Torrilhon, Manuel 14 2003 Non-uniform convergence of finite volume schemes for Riemann problems of ideal magnetohydrodynamics. Zbl 1032.76721Torrilhon, M. 14 2003 Characterstic waves and dissipation in the 13-moment-case. Zbl 0991.76073Torrilhon, M. 13 2000 Macroscopic description of steady and unsteady rarefaction effects in boundary value problems of gas dynamics. Zbl 1184.76844Taheri, P.; Rana, A. S.; Torrilhon, M.; Struchtrup, H. 13 2009 The shock tube study in extended thermodynamics. Zbl 1184.76037Au, J. D.; Torrilhon, M.; Weiss, W. 13 2001 Explicit fluxes and productions for large systems of the moment method based on extended thermodynamics. Zbl 1058.82017Torrilhon, M.; Au, J. D.; Struchtrup, H. 12 2003 Numerical study of partially conservative moment equations in kinetic theory. Zbl 1373.82079Koellermeier, Julian; Torrilhon, Manuel 10 2017 Hierarchical Boltzmann simulations and model error estimation. Zbl 1376.76060Torrilhon, Manuel; Sarna, Neeraj 10 2017 Numerical simulation of microflows using moment methods with linearized collision operator. Zbl 1404.65082Cai, Zhenning; Torrilhon, Manuel 10 2018 Approximation of the linearized Boltzmann collision operator for hard-sphere and inverse-power-law models. Zbl 1349.76782Cai, Zhenning; Torrilhon, Manuel 10 2015 On singular closures for the 5-moment system in kinetic gas theory. Zbl 1373.76287Schaerer, Roman Pascal; Torrilhon, Manuel 9 2015 Efficient algorithms and implementations of entropy-based moment closures for rarefied gases. Zbl 1376.76059Schaerer, Roman Pascal; Bansal, Pratyuksh; Torrilhon, Manuel 9 2017 Higher order moment equations for rarefied gas mixtures. Zbl 1371.82088Gupta, Vinay Kumar; Torrilhon, Manuel 9 2015 Regularization and boundary conditions for the 13 moment equations. Zbl 1284.76332Struchtrup, Henning; Torrilhon, Manuel 9 2008 On curl-preserving finite volume discretizations for shallow water equations. Zbl 1153.76045Jeltsch, Rolf; Torrilhon, Manuel 9 2006 On stable wall boundary conditions for the Hermite discretization of the linearised Boltzmann equation. Zbl 1388.35139Sarna, Neeraj; Torrilhon, Manuel 8 2018 Relations between WENO3 and third-order limiting in finite volume methods. Zbl 1371.65086Schmidtmann, B.; Seibold, B.; Torrilhon, M. 7 2016 H-theorem for nonlinear regularized 13-moment equations in kinetic gas theory. Zbl 1252.82079Torrilhon, Manuel 6 2012 Krylov-Riemann solver for large hyperbolic systems of conservation laws. Zbl 1253.65137Torrilhon, Manuel 6 2012 High-order WENO schemes: Investigations on non-uniform convergence for MHD Riemann problems. Zbl 1076.76050Torrilhon, M.; Balsara, D. S. 6 2004 The 35-moment system with the maximum-entropy closure for rarefied gas flows. Zbl 1408.76459Schaerer, Roman Pascal; Torrilhon, Manuel 6 2017 Stability and consistency of kinetic upwinding for advection-diffusion equations. Zbl 1148.76041Torrilhon, Manuel; Xu, Kun 5 2006 Convergence analysis of Grad’s Hermite expansion for linear kinetic equations. Zbl 1436.65150Sarna, Neeraj; Giesselmann, Jan; Torrilhon, Manuel 5 2020 Entropy stable Hermite approximation of the linearised Boltzmann equation for inflow and outflow boundaries. Zbl 1392.76051Sarna, Neeraj; Torrilhon, Manuel 5 2018 On third-order limiter functions for finite volume methods. Zbl 1356.65219Schmidtmann, Birte; Abgrall, Rémi; Torrilhon, Manuel 5 2016 Increasing the accuracy in locally divergence-preserving finite volume schemes for MHD. Zbl 1329.76197Artebrant, Robert; Torrilhon, Manuel 4 2008 Numerical solution of hyperbolic moment models for the Boltzmann equation. Zbl 1408.76454Koellermeier, J.; Torrilhon, M. 4 2017 Entropic quadrature for moment approximations of the Boltzmann-BGK equation. Zbl 1453.76061Böhmer, Niclas; Torrilhon, Manuel 4 2020 Higher-order moment theories for dilute granular gases of smooth hard spheres. Zbl 1419.76673Gupta, Vinay Kumar; Shukla, Priyanka; Torrilhon, Manuel 3 2018 Formulation of moment equations for rarefied gases within two frameworks of non-equilibrium thermodynamics: RET and GENERIC. Zbl 1462.82057Öttinger, Hans Christian; Struchtrup, Henning; Torrilhon, Manuel 3 2020 Scale-induced closure for approximations of kinetic equations. Zbl 1213.82070Kauf, Peter; Torrilhon, Manuel; Junk, Michael 2 2010 Application of time reverse modeling on ultrasonic non-destructive testing of concrete. Zbl 1205.74005Saenger, Erik H.; Kocur, Georg Karl; Jud, Roman; Torrilhon, Manuel 2 2011 Reprint of: “Comparison of relaxation phenomena in binary gas-mixtures of Maxwell molecules and hard spheres”. Zbl 1357.76078Gupta, Vinay Kumar; Torrilhon, Manuel 2 2016 A hybrid Riemann solver for large hyperbolic systems of conservation laws. Zbl 1379.65070Schmidtmann, Birte; Torrilhon, Manuel 1 2017 Curvature-induced instability of a Stokes-like problem with non-standard boundary conditions. Zbl 06770903Westerkamp, Armin; Torrilhon, Manuel 1 2017 Comparison of relaxation phenomena in binary gas-mixtures of Maxwell molecules and hard spheres. Zbl 1443.82013Gupta, Vinay Kumar; Torrilhon, Manuel 1 2015 Compact third-order logarithmic limiting for nonlinear hyperbolic conservation laws. Zbl 1134.76035Čada, M.; Torrilhon, M.; Jeltsch, R. 1 2008 Vorticity preserving finite volume method for the wave equation system. Zbl 1103.65323Fey, Michael; Torrilhon, Manuel 1 2006 Flexible stability domains for explicit Runge-Kutta methods. Zbl 1171.65415Jeltsch, Rolf; Torrilhon, Manuel 1 2007 Finite element methods for the linear regularized 13-moment equations describing slow rarefied gas flows. Zbl 1452.76104Westerkamp, A.; Torrilhon, M. 1 2019 Simplified hyperbolic moment equations. Zbl 1410.35092Koellermeier, Julian; Torrilhon, Manuel 1 2018 Third-order limiter functions on non-equidistant grids. Zbl 1427.65212Schmidtmann, Birte; Torrilhon, Manuel 1 2018 Moment approximations and model cascades for shallow flow. Zbl 07417512Kowalski, Julia; Torrilhon, Manuel 1 2019 Convergence analysis of Grad’s Hermite expansion for linear kinetic equations. Zbl 1436.65150Sarna, Neeraj; Giesselmann, Jan; Torrilhon, Manuel 5 2020 Entropic quadrature for moment approximations of the Boltzmann-BGK equation. Zbl 1453.76061Böhmer, Niclas; Torrilhon, Manuel 4 2020 Formulation of moment equations for rarefied gases within two frameworks of non-equilibrium thermodynamics: RET and GENERIC. Zbl 1462.82057Öttinger, Hans Christian; Struchtrup, Henning; Torrilhon, Manuel 3 2020 Finite element methods for the linear regularized 13-moment equations describing slow rarefied gas flows. Zbl 1452.76104Westerkamp, A.; Torrilhon, M. 1 2019 Moment approximations and model cascades for shallow flow. Zbl 07417512Kowalski, Julia; Torrilhon, Manuel 1 2019 Numerical simulation of microflows using moment methods with linearized collision operator. Zbl 1404.65082Cai, Zhenning; Torrilhon, Manuel 10 2018 On stable wall boundary conditions for the Hermite discretization of the linearised Boltzmann equation. Zbl 1388.35139Sarna, Neeraj; Torrilhon, Manuel 8 2018 Entropy stable Hermite approximation of the linearised Boltzmann equation for inflow and outflow boundaries. Zbl 1392.76051Sarna, Neeraj; Torrilhon, Manuel 5 2018 Higher-order moment theories for dilute granular gases of smooth hard spheres. Zbl 1419.76673Gupta, Vinay Kumar; Shukla, Priyanka; Torrilhon, Manuel 3 2018 Simplified hyperbolic moment equations. Zbl 1410.35092Koellermeier, Julian; Torrilhon, Manuel 1 2018 Third-order limiter functions on non-equidistant grids. Zbl 1427.65212Schmidtmann, Birte; Torrilhon, Manuel 1 2018 Numerical study of partially conservative moment equations in kinetic theory. Zbl 1373.82079Koellermeier, Julian; Torrilhon, Manuel 10 2017 Hierarchical Boltzmann simulations and model error estimation. Zbl 1376.76060Torrilhon, Manuel; Sarna, Neeraj 10 2017 Efficient algorithms and implementations of entropy-based moment closures for rarefied gases. Zbl 1376.76059Schaerer, Roman Pascal; Bansal, Pratyuksh; Torrilhon, Manuel 9 2017 The 35-moment system with the maximum-entropy closure for rarefied gas flows. Zbl 1408.76459Schaerer, Roman Pascal; Torrilhon, Manuel 6 2017 Numerical solution of hyperbolic moment models for the Boltzmann equation. Zbl 1408.76454Koellermeier, J.; Torrilhon, M. 4 2017 A hybrid Riemann solver for large hyperbolic systems of conservation laws. Zbl 1379.65070Schmidtmann, Birte; Torrilhon, Manuel 1 2017 Curvature-induced instability of a Stokes-like problem with non-standard boundary conditions. Zbl 06770903Westerkamp, Armin; Torrilhon, Manuel 1 2017 Modeling nonequilibrium gas flow based on moment equations. Zbl 1356.76297Torrilhon, Manuel 47 2016 Model reduction of kinetic equations by operator projection. Zbl 1335.35175Fan, Yuwei; Koellermeier, Julian; Li, Jun; Li, Ruo; Torrilhon, Manuel 20 2016 Relations between WENO3 and third-order limiting in finite volume methods. Zbl 1371.65086Schmidtmann, B.; Seibold, B.; Torrilhon, M. 7 2016 On third-order limiter functions for finite volume methods. Zbl 1356.65219Schmidtmann, Birte; Abgrall, Rémi; Torrilhon, Manuel 5 2016 Reprint of: “Comparison of relaxation phenomena in binary gas-mixtures of Maxwell molecules and hard spheres”. Zbl 1357.76078Gupta, Vinay Kumar; Torrilhon, Manuel 2 2016 Convergence study of moment approximations for boundary value problems of the Boltzmann-BGK equation. Zbl 1373.82037Torrilhon, Manuel 15 2015 Approximation of the linearized Boltzmann collision operator for hard-sphere and inverse-power-law models. Zbl 1349.76782Cai, Zhenning; Torrilhon, Manuel 10 2015 On singular closures for the 5-moment system in kinetic gas theory. Zbl 1373.76287Schaerer, Roman Pascal; Torrilhon, Manuel 9 2015 Higher order moment equations for rarefied gas mixtures. Zbl 1371.82088Gupta, Vinay Kumar; Torrilhon, Manuel 9 2015 Comparison of relaxation phenomena in binary gas-mixtures of Maxwell molecules and hard spheres. Zbl 1443.82013Gupta, Vinay Kumar; Torrilhon, Manuel 1 2015 A framework for hyperbolic approximation of kinetic equations using quadrature-based projection methods. Zbl 1304.35475Koellermeier, Julian; Schaerer, Roman Pascal; Torrilhon, Manuel 16 2014 Affordable robust moment closures for CFD based on the maximum-entropy hierarchy. Zbl 1349.82057McDonald, James; Torrilhon, Manuel 29 2013 A robust numerical method for the R13 equations of rarefied gas dynamics: application to lid driven cavity. Zbl 1286.76130Rana, Anirudh; Torrilhon, Manuel; Struchtrup, Henning 27 2013 H-theorem for nonlinear regularized 13-moment equations in kinetic gas theory. Zbl 1252.82079Torrilhon, Manuel 6 2012 Krylov-Riemann solver for large hyperbolic systems of conservation laws. Zbl 1253.65137Torrilhon, Manuel 6 2012 Fokker-Planck model for computational studies of monatomic rarefied gas flows. Zbl 1241.76342Gorji, M. H.; Torrilhon, M.; Jenny, P. 30 2011 Application of time reverse modeling on ultrasonic non-destructive testing of concrete. Zbl 1205.74005Saenger, Erik H.; Kocur, Georg Karl; Jud, Roman; Torrilhon, Manuel 2 2011 A solution algorithm for the fluid dynamic equations based on a stochastic model for molecular motion. Zbl 1285.76031Jenny, Patrick; Torrilhon, Manuel; Heinz, Stefan 31 2010 Hyperbolic moment equations in kinetic gas theory based on multi-variate Pearson-IV-distributions. Zbl 1364.82050Torrilhon, Manuel 16 2010 Slow gas microflow past a sphere: analytical solution based on moment equations. Zbl 1190.76123Torrilhon, Manuel 14 2010 Scale-induced closure for approximations of kinetic equations. Zbl 1213.82070Kauf, Peter; Torrilhon, Manuel; Junk, Michael 2 2010 Compact third-order limiter functions for finite volume methods. Zbl 1273.76286Čada, Miroslav; Torrilhon, Manuel 29 2009 Couette and poiseuille microflows: analytical solutions for regularized 13-moment equations. Zbl 1183.76503Taheri, Peyman; Torrilhon, Manuel; Struchtrup, Henning 19 2009 Macroscopic description of steady and unsteady rarefaction effects in boundary value problems of gas dynamics. Zbl 1184.76844Taheri, P.; Rana, A. S.; Torrilhon, M.; Struchtrup, H. 13 2009 Boundary conditions for regularized 13-moment-equations for micro-channel-flows. Zbl 1132.76049Torrilhon, Manuel; Struchtrup, Henning 49 2008 Regularization and boundary conditions for the 13 moment equations. Zbl 1284.76332Struchtrup, Henning; Torrilhon, Manuel 9 2008 Increasing the accuracy in locally divergence-preserving finite volume schemes for MHD. Zbl 1329.76197Artebrant, Robert; Torrilhon, Manuel 4 2008 Compact third-order logarithmic limiting for nonlinear hyperbolic conservation laws. Zbl 1134.76035Čada, M.; Torrilhon, M.; Jeltsch, R. 1 2008 Essentially optimal explicit Runge-Kutta methods with application to hyperbolic-parabolic equations. Zbl 1113.65074Torrilhon, Manuel; Jeltsch, Rolf 15 2007 Flexible stability domains for explicit Runge-Kutta methods. Zbl 1171.65415Jeltsch, Rolf; Torrilhon, Manuel 1 2007 Two-dimensional bulk microflow simulations based on regularized grad’s 13-moment equations. Zbl 1388.76340Torrilhon, Manuel 25 2006 On curl-preserving finite volume discretizations for shallow water equations. Zbl 1153.76045Jeltsch, Rolf; Torrilhon, Manuel 9 2006 Stability and consistency of kinetic upwinding for advection-diffusion equations. Zbl 1148.76041Torrilhon, Manuel; Xu, Kun 5 2006 Vorticity preserving finite volume method for the wave equation system. Zbl 1103.65323Fey, Michael; Torrilhon, Manuel 1 2006 Locally divergence-preserving upwind finite volume schemes for magnetohydrodynamic equations. Zbl 1149.76693Torrilhon, Manuel 21 2005 Regularized 13-moment equations: shock structure calculations and comparison to Burnett models. Zbl 1107.76069Torrilhon, M.; Struchtrup, H. 57 2004 Constraint-preserving upwind methods for multidimensional advection equations. Zbl 1146.76621Torrilhon, M.; Fey, M. 16 2004 High-order WENO schemes: Investigations on non-uniform convergence for MHD Riemann problems. Zbl 1076.76050Torrilhon, M.; Balsara, D. S. 6 2004 Regularization of grad’s 13 moment equations: derivation and linear analysis. Zbl 1186.76504Struchtrup, Henning; Torrilhon, Manuel 112 2003 A constrained transport upwind scheme for divergence-free advection. Zbl 1134.76394Fey, Michael; Torrilhon, Manuel 14 2003 Non-uniform convergence of finite volume schemes for Riemann problems of ideal magnetohydrodynamics. Zbl 1032.76721Torrilhon, M. 14 2003 Explicit fluxes and productions for large systems of the moment method based on extended thermodynamics. Zbl 1058.82017Torrilhon, M.; Au, J. D.; Struchtrup, H. 12 2003 The shock tube study in extended thermodynamics. Zbl 1184.76037Au, J. D.; Torrilhon, M.; Weiss, W. 13 2001 Characterstic waves and dissipation in the 13-moment-case. Zbl 0991.76073Torrilhon, M. 13 2000 all cited Publications top 5 cited Publications all top 5 Cited by 546 Authors 41 Torrilhon, Manuel 20 Struchtrup, Henning 16 Li, Ruo 15 Cai, Zhenning 11 Fan, Yuwei 10 Koellermeier, Julian 9 Gorji, Mohammad Hossein 9 Jenny, Patrick 9 Wang, Yanli 8 Lockerby, Duncan A. 8 Rana, Anirudh Singh 7 Dumbser, Michael 7 Fox, Rodney O. 6 Castro, Manuel J. 6 Christlieb, Andrew J. 6 Gu, Xiaojun 6 Gupta, Vinay Kumar 6 Martín-Vaquero, Jesús 6 Mishra, Siddhartha 6 Reese, Jason M. 6 Sarna, Neeraj 6 Zhang, Yonghao 5 Emerson, David R. 5 McDonald, James G. 5 Sader, John E. 5 Shu, Chi-Wang 5 Sprittles, James E. 5 Xu, Kun 5 Zheng, Lingchao 4 Frank, Martin 4 Gallardo, José M. 4 Kemm, Friedemann 4 Keppens, Rony 4 Kleefeld, B. 4 Marquina, Antonio 4 Mathiaud, Julien 4 Mieussens, Luc 4 Peshkov, Ilya M. 4 Risebro, Nils Henrik 4 Schmidtmann, Birte 4 Smith, Matthew R. 4 Tang, Qi 4 Winters, Andrew R. 4 Wu, Kailiang 4 Wu, Lei 3 Agrawal, Amit 3 Balsara, Dinshaw S. 3 Barsukow, Wasilij 3 Bobylev, Alexandre Vasiljévitch 3 Brull, Stephane 3 Dadzie, S. Kokou 3 Derigs, Dominik 3 Di, Yana 3 Dubroca, Bruno 3 Fei, Fei 3 Fuchs, Franz Georg 3 Gassner, Gregor J. 3 Hu, Zhicheng 3 Jiang, Yan 3 Laurent, Frédérique 3 Li, Weiming 3 Meng, Jianping 3 Pichard, Teddy 3 Romenskii, Evgenii I. 3 Sadr, Mohsen 3 Samaey, Giovanni 3 Schaerer, Roman Pascal 3 Semplice, Matteo 3 Singh, Narendra Kumar 3 Slemrod, Marshall 3 Tzeferacos, Petros 3 Walch, Stefanie 3 Yong, Wen-An 3 Zhang, Mengping 2 Abgrall, Rémi 2 Aguirre, Miquel 2 Alam, Meheboob 2 Bogomolov, S. V. 2 Bonet, Javier 2 Carrisi, Maria Cristina 2 Castro-Díaz, Manuel Jesús 2 Chandrashekar, Praveen 2 Collyer, B. S. 2 Coreixas, Christophe 2 Fambri, Francesco 2 Fan, Jing 2 Feng, Xiao 2 Franck, Emmanuel 2 Frezzotti, Aldo 2 Gavasane, Abhimanyu 2 Gibelli, Livio 2 Gil, Antonio J. 2 Gosse, Laurent 2 Grabe, Martin 2 Groth, Clinton P. T. 2 Guisset, Sebastien 2 Hannemann, Klaus 2 Heinz, Stefan 2 Hoffmann, Karl Heinz 2 Huang, Juntao ...and 446 more Authors all top 5 Cited in 79 Serials 94 Journal of Computational Physics 37 Journal of Fluid Mechanics 20 Continuum Mechanics and Thermodynamics 18 Journal of Scientific Computing 15 Computers and Fluids 14 Journal of Statistical Physics 12 SIAM Journal on Scientific Computing 12 Physics of Fluids 10 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 9 Communications in Computational Physics 9 Kinetic and Related Models 7 Physica A 6 Computers & Mathematics with Applications 6 Applied Mathematics and Computation 5 BIT 5 SIAM Journal on Applied Mathematics 5 European Journal of Mechanics. B. Fluids 4 Computer Methods in Applied Mechanics and Engineering 4 Numerische Mathematik 4 SIAM Journal on Numerical Analysis 4 Multiscale Modeling & Simulation 3 Computer Physics Communications 3 Journal of Computational and Applied Mathematics 3 Physica D 3 Applied Numerical Mathematics 3 Applied Mathematical Modelling 2 Archive for Rational Mechanics and Analysis 2 International Journal for Numerical Methods in Fluids 2 Journal of Engineering Mathematics 2 Journal of Mathematical Physics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Quarterly of Applied Mathematics 2 Computational Mathematics and Mathematical Physics 2 Mathematical Problems in Engineering 2 Matematicheskoe Modelirovanie 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Advances in Applied Mathematics and Mechanics 1 Applicable Analysis 1 Communications on Pure and Applied Mathematics 1 International Journal of Engineering Science 1 International Journal of Heat and Mass Transfer 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Mathematical Methods in the Applied Sciences 1 Mathematische Semesterberichte 1 Transport Theory and Statistical Physics 1 Wave Motion 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Mathematics of Computation 1 Theoretical and Computational Fluid Dynamics 1 Mathematics and Computers in Simulation 1 Meccanica 1 Ricerche di Matematica 1 Numerical Methods for Partial Differential Equations 1 Computational Mathematics and Modeling 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Numerical Algorithms 1 International Journal of Computational Fluid Dynamics 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Communications in Nonlinear Science and Numerical Simulation 1 Living Reviews in Relativity 1 International Journal of Modern Physics C 1 Journal of Nonlinear Mathematical Physics 1 Differential Equations 1 Discrete and Continuous Dynamical Systems. Series B 1 Entropy 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Applied Mathematics and Computing 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Acta Numerica 1 International Journal of Fracture 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Frontiers of Mathematics in China 1 Mathematical Modelling of Natural Phenomena 1 Science China. Mathematics 1 International Journal of Advances in Engineering Sciences and Applied Mathematics 1 East Asian Journal on Applied Mathematics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 SMAI Journal of Computational Mathematics 1 Results in Applied Mathematics all top 5 Cited in 25 Fields 279 Fluid mechanics (76-XX) 160 Numerical analysis (65-XX) 132 Partial differential equations (35-XX) 113 Statistical mechanics, structure of matter (82-XX) 22 Classical thermodynamics, heat transfer (80-XX) 17 Optics, electromagnetic theory (78-XX) 11 Mechanics of deformable solids (74-XX) 5 Probability theory and stochastic processes (60-XX) 5 Astronomy and astrophysics (85-XX) 4 Relativity and gravitational theory (83-XX) 3 Ordinary differential equations (34-XX) 3 Computer science (68-XX) 3 Mechanics of particles and systems (70-XX) 3 Geophysics (86-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Integral equations (45-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year