Edit Profile (opens in new tab) van Leer, Bram Compute Distance To: Compute Author ID: van-leer.bram Published as: van Leer, Bram; van Leer, B. Homepage: http://www.engin.umich.edu/aero/people/faculty/bram-vanleer/view External Links: MGP · Wikidata · ResearchGate · IdRef Documents Indexed: 54 Publications since 1969, including 1 Book 2 Contributions as Editor Co-Authors: 60 Co-Authors with 39 Joint Publications 1,317 Co-Co-Authors all top 5 Co-Authors 17 single-authored 5 Koren, Barry 4 Liou, Meng-Sing 4 Roe, Philip L. 3 Lewis, Mervyn R. 3 Shuen, Jian-Shun 3 Van Brummelen, Harald 2 Darmofal, David L. 2 Nishikawa, Hiroaki 2 Powell, Kenneth Grant 2 Rumsey, Christopher L. 2 Suzuki, Yoshifumi 2 Tai, Chang-Hsien 1 Abgrall, Rémi 1 Bassi, Francesco 1 Caraeni, Doru Adrian 1 Cary, Andrew W. 1 Deconinck, Herman 1 Dervieux, Alain 1 Fidkowski, Krzysztof J. 1 Gitik, Rita 1 Gombosi, Tamas I. 1 Harten, Ami 1 Hartmann, Ralf 1 Hemker, Pieter W. 1 Hillewaert, Koen 1 Hussaini, M. Yousuff 1 Jablonowski, Christiane 1 Khieu, Loc H. 1 Korevaar, Peter 1 Kőrösmezey, Á. 1 Kroll, Norbert 1 Lax, Peter David 1 Lee, Wen-Tzong 1 Levy, David W. 1 Lo, Marcus 1 Lowrie, Robert B. 1 Lynn, John F. 1 May, Georg 1 Mott, David R. 1 Mulder, William A. 1 Mulder, Wim A. 1 Nomura, Shohei 1 Oran, Elaine S. 1 Périaux, Jacques F. 1 Persson, Per-Olof 1 Powell, Ken 1 Rasmussen, Craig E. 1 Rizzi, Arthur W. 1 Roberts, William W. jun. 1 Sheu, Jiann-Hwa 1 Sonneveld, Peter 1 Thomas, James L. 1 Turkel, Eli L. 1 Ullrich, Paul Aaron 1 van Albada, Geert Dick 1 Hartog van Raalte, Marc Hartog 1 Van Rosendale, John 1 Visbal, Miguel R. 1 Walters, Robert W. 1 Wang, Zhijian all top 5 Serials 19 Journal of Computational Physics 2 Astronomy and Astrophysics 2 Communications in Computational Physics 1 AIAA Journal 1 International Journal for Numerical Methods in Fluids 1 SIAM Journal on Scientific and Statistical Computing 1 Applied Numerical Mathematics 1 Communications in Applied Numerical Methods 1 SIAM Review 1 Nieuw Archief voor Wiskunde. Vierde Serie 1 Continuum Mechanics and Thermodynamics 1 Advances in Computational Mathematics all top 5 Fields 47 Fluid mechanics (76-XX) 23 Numerical analysis (65-XX) 9 Partial differential equations (35-XX) 3 History and biography (01-XX) 3 Astronomy and astrophysics (85-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 General and overarching topics; collections (00-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 45 Publications have been cited 3,649 times in 2,815 Documents Cited by ▼ Year ▼ Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov’s method. Zbl 1364.65223van Leer, Bram 1,277 1979 On upstream differencing and Godunov-type schemes for hyperbolic conservation laws. Zbl 0565.65051Harten, Amiram; Lax, Peter D.; van Leer, Bram 737 1983 Towards the ultimate conservative difference scheme. II: Monotonicity and conservation combined in a second-order scheme. Zbl 0276.65055van Leer, Bram 349 1974 Towards the ultimate conservative difference scheme. IV: A new approach to numerical convection. Zbl 0339.76056van Leer, Bram 326 1977 A comparative study of computational methods in cosmic gas dynamics. Zbl 0492.76117van Albada, G. D.; van Leer, B.; Roberts, W. W. jun. 138 1982 Towards the ultimate conservative difference scheme. III: Upstream- centered finite-difference schemes for ideal compressible flow. Zbl 0339.76039van Leer, Bram 116 1977 On the relation between the upwind-differencing schemes of Godunov, Engquist-Osher and Roe. Zbl 0547.65065van Leer, Bram 109 1984 High-order CFD methods: current status and perspective. Zbl 1455.76007Wang, Z. J.; Fidkowski, Krzysztof; Abgrall, Rémi; Bassi, Francesco; Caraeni, Doru; Cary, Andrew; Deconinck, Herman; Hartmann, Ralf; Hillewaert, Koen; Huynh, H. T.; Kroll, Norbert; May, Georg; Persson, Per-Olof; van Leer, Bram; Visbal, Miguel 94 2013 Towards the ultimative conservative difference scheme. V: A second-order sequel to Godunov’s method. Zbl 0939.76063van Leer, Bram 54 1997 Upwind and high-resolution methods for compressible flow: From donor cell to residual-distribution schemes. Zbl 1114.76049van Leer, B. 44 2006 Experiments with implicit upwind methods for the Euler equations. Zbl 0584.76014Mulder, Wim A.; van Leer, Bram 43 1985 Towards the ultimate conservative difference scheme. I: The quest of monotonicity. Zbl 0255.76064van Leer, Bram 32 1973 Splitting of inviscid fluxes for real gases. Zbl 0687.76074Liou, Meng-Sing; van Leer, Bram; Shuen, Jian-Shun 30 1990 High-order finite-volume methods for the shallow-water equations on the sphere. Zbl 1425.76168Ullrich, Paul A.; Jablonowski, Christiane; van Leer, Bram 30 2010 Use of a rotated Riemann solver for the two-dimensional Euler equations. Zbl 0770.76046Levy, David W.; Powell, Kenneth G.; van Leer, Bram 26 1993 A quasi-steady-state solver for the stiff ordinary differential equations of reaction kinetics. Zbl 0967.65083Mott, David R.; Oran, Elaine S.; van Leer, Bram 22 2000 A multidimensional flux function with applications to the Euler and Navier-Stokes equations. Zbl 0767.76039Rumsey, Christopher L.; van Leer, Bram; Roe, Philip L. 19 1993 Design of optimally smoothing multistage schemes for the Euler equations. Zbl 0758.76043van Leer, Bram; Lee, Wen-Tzong; Roe, Philip L.; Powell, Kenneth G.; Tai, Chang-Hsien 16 1992 Bilinear forms for the recovery-based discontinuous Galerkin method for diffusion. Zbl 1364.65261van Raalte, Marc; van Leer, Bram 16 2009 Local preconditioning: Manipulating mother nature to fool father time. Zbl 0988.76059Darmofal, David L.; van Leer, Bram 15 1998 Inviscid flux-splitting algorithms for real gases with non-equilibrium chemistry. Zbl 0701.76076Shuen, Jian-Shun; Liou, Meng-Sing; van Leer, Bram 14 1990 Riemann-problem and level-set approaches for homentropic two-fluid flow computations. Zbl 1178.76281Koren, B.; Lewis, M. R.; van Brummelen, E. H.; van Leer, B. 14 2002 Flux vector splitting and Runge-Kutta methods for the Euler equations. Zbl 0555.76014Turkel, Eli; van Leer, Bram 13 1985 A historical oversight: Vladimir P. Kolgan and his high-resolution scheme. Zbl 1316.65001van Leer, Bram 13 2011 Upwind and high-resolution schemes. Zbl 0877.76002 11 1997 Upwind-difference methods for aerodynamic problems governed by the Euler equations. Zbl 0582.76065van Leer, Bram 10 1985 Space-time methods for hyperbolic conservation laws. Zbl 0947.76055Lowrie, Robert B.; Roe, Philip L.; van Leer, Bram 10 1998 Multidimensional explicit difference schemes for hyperbolic conservation laws. Zbl 0565.65052van Leer, Bram 8 1984 Choice of implicit and explicit operators for the upwind differencing method. Zbl 0850.76426Liou, Meng-Sing; van Leer, Bram 7 1988 Analysis of preconditioning and multigrid for Euler flows with low- subsonic regions. Zbl 0827.76059Koren, B.; van Leer, B. 7 1995 Upwind differencing for hyperbolic systems of conservation laws. Zbl 0467.76075van Leer, B. 6 1980 A minimax problem along the imaginary axis. Zbl 0571.65062Sonneveld, P.; van Leer, B. 6 1985 Stabilization of difference schemes for the equations of inviscid compressible flow by artificial diffusion. Zbl 0167.25101van Leer, B. 6 1969 Relaxation methods for hyperbolic conservation laws. Zbl 0621.65127van Leer, Bram; Mulder, William A. 5 1985 Optimal multistage schemes for Euler equations with residual smoothing. Zbl 0845.76062Tai, Chang-Hsien; Sheu, Jiann-Hwa; van Leer, Bram 4 1995 Steady Euler solutions in \(O(N)\) operations. Zbl 0986.76075van Leer, Bram; Darmofal, David 4 2000 Numerical simulation of compressible Euler flows. Proceedings of the GAMM workshop, held at INRIA, Rocquencourt (France), on June 10-13, 1986. Zbl 0696.76004 4 1989 An introduction to the article “Reminiscences about difference schemes” by S. K. Godunov. Zbl 0936.65105van Leer, Bram 3 1999 Optimal multigrid convergence by elliptic/hyperbolic splitting. Zbl 1027.65132Nishikawa, Hiroaki; van Leer, Bram 2 2003 An Osher-type and level-set scheme for two-fluid flow computations. Zbl 1177.76289Koren, Barry; Lewis, Mervyn; van Brummelen, Harald; van Leer, Bram 2 2002 CFD by first-order PDEs. Zbl 1184.76756Suzuki, Yoshifumi; Khieu, Loc; van Leer, Bram 2 2009 Towards the ultimate understanding of MUSCL: Pitfalls in achieving third-order accuracy. Zbl 07516458van Leer, Bram; Nishikawa, Hiroaki 2 2021 Multigrid Euler solutions with semi-coarsening and local preconditioning. Zbl 0861.76053Lynn, John F.; van Leer, Bram 1 1995 A venerable family of discontinuous Galerkin schemes for diffusion revisited. Zbl 1358.76052van Leer, Bram; Lo, Marcus; Gitik, Rita; Nomura, Shohei 1 2011 On numerical dispersion by upwind differencing. Zbl 0619.65078van Leer, Bram 1 1986 Towards the ultimate understanding of MUSCL: Pitfalls in achieving third-order accuracy. Zbl 07516458van Leer, Bram; Nishikawa, Hiroaki 2 2021 High-order CFD methods: current status and perspective. Zbl 1455.76007Wang, Z. J.; Fidkowski, Krzysztof; Abgrall, Rémi; Bassi, Francesco; Caraeni, Doru; Cary, Andrew; Deconinck, Herman; Hartmann, Ralf; Hillewaert, Koen; Huynh, H. T.; Kroll, Norbert; May, Georg; Persson, Per-Olof; van Leer, Bram; Visbal, Miguel 94 2013 A historical oversight: Vladimir P. Kolgan and his high-resolution scheme. Zbl 1316.65001van Leer, Bram 13 2011 A venerable family of discontinuous Galerkin schemes for diffusion revisited. Zbl 1358.76052van Leer, Bram; Lo, Marcus; Gitik, Rita; Nomura, Shohei 1 2011 High-order finite-volume methods for the shallow-water equations on the sphere. Zbl 1425.76168Ullrich, Paul A.; Jablonowski, Christiane; van Leer, Bram 30 2010 Bilinear forms for the recovery-based discontinuous Galerkin method for diffusion. Zbl 1364.65261van Raalte, Marc; van Leer, Bram 16 2009 CFD by first-order PDEs. Zbl 1184.76756Suzuki, Yoshifumi; Khieu, Loc; van Leer, Bram 2 2009 Upwind and high-resolution methods for compressible flow: From donor cell to residual-distribution schemes. Zbl 1114.76049van Leer, B. 44 2006 Optimal multigrid convergence by elliptic/hyperbolic splitting. Zbl 1027.65132Nishikawa, Hiroaki; van Leer, Bram 2 2003 Riemann-problem and level-set approaches for homentropic two-fluid flow computations. Zbl 1178.76281Koren, B.; Lewis, M. R.; van Brummelen, E. H.; van Leer, B. 14 2002 An Osher-type and level-set scheme for two-fluid flow computations. Zbl 1177.76289Koren, Barry; Lewis, Mervyn; van Brummelen, Harald; van Leer, Bram 2 2002 A quasi-steady-state solver for the stiff ordinary differential equations of reaction kinetics. Zbl 0967.65083Mott, David R.; Oran, Elaine S.; van Leer, Bram 22 2000 Steady Euler solutions in \(O(N)\) operations. Zbl 0986.76075van Leer, Bram; Darmofal, David 4 2000 An introduction to the article “Reminiscences about difference schemes” by S. K. Godunov. Zbl 0936.65105van Leer, Bram 3 1999 Local preconditioning: Manipulating mother nature to fool father time. Zbl 0988.76059Darmofal, David L.; van Leer, Bram 15 1998 Space-time methods for hyperbolic conservation laws. Zbl 0947.76055Lowrie, Robert B.; Roe, Philip L.; van Leer, Bram 10 1998 Towards the ultimative conservative difference scheme. V: A second-order sequel to Godunov’s method. Zbl 0939.76063van Leer, Bram 54 1997 Upwind and high-resolution schemes. Zbl 0877.76002 11 1997 Analysis of preconditioning and multigrid for Euler flows with low- subsonic regions. Zbl 0827.76059Koren, B.; van Leer, B. 7 1995 Optimal multistage schemes for Euler equations with residual smoothing. Zbl 0845.76062Tai, Chang-Hsien; Sheu, Jiann-Hwa; van Leer, Bram 4 1995 Multigrid Euler solutions with semi-coarsening and local preconditioning. Zbl 0861.76053Lynn, John F.; van Leer, Bram 1 1995 Use of a rotated Riemann solver for the two-dimensional Euler equations. Zbl 0770.76046Levy, David W.; Powell, Kenneth G.; van Leer, Bram 26 1993 A multidimensional flux function with applications to the Euler and Navier-Stokes equations. Zbl 0767.76039Rumsey, Christopher L.; van Leer, Bram; Roe, Philip L. 19 1993 Design of optimally smoothing multistage schemes for the Euler equations. Zbl 0758.76043van Leer, Bram; Lee, Wen-Tzong; Roe, Philip L.; Powell, Kenneth G.; Tai, Chang-Hsien 16 1992 Splitting of inviscid fluxes for real gases. Zbl 0687.76074Liou, Meng-Sing; van Leer, Bram; Shuen, Jian-Shun 30 1990 Inviscid flux-splitting algorithms for real gases with non-equilibrium chemistry. Zbl 0701.76076Shuen, Jian-Shun; Liou, Meng-Sing; van Leer, Bram 14 1990 Numerical simulation of compressible Euler flows. Proceedings of the GAMM workshop, held at INRIA, Rocquencourt (France), on June 10-13, 1986. Zbl 0696.76004 4 1989 Choice of implicit and explicit operators for the upwind differencing method. Zbl 0850.76426Liou, Meng-Sing; van Leer, Bram 7 1988 On numerical dispersion by upwind differencing. Zbl 0619.65078van Leer, Bram 1 1986 Experiments with implicit upwind methods for the Euler equations. Zbl 0584.76014Mulder, Wim A.; van Leer, Bram 43 1985 Flux vector splitting and Runge-Kutta methods for the Euler equations. Zbl 0555.76014Turkel, Eli; van Leer, Bram 13 1985 Upwind-difference methods for aerodynamic problems governed by the Euler equations. Zbl 0582.76065van Leer, Bram 10 1985 A minimax problem along the imaginary axis. Zbl 0571.65062Sonneveld, P.; van Leer, B. 6 1985 Relaxation methods for hyperbolic conservation laws. Zbl 0621.65127van Leer, Bram; Mulder, William A. 5 1985 On the relation between the upwind-differencing schemes of Godunov, Engquist-Osher and Roe. Zbl 0547.65065van Leer, Bram 109 1984 Multidimensional explicit difference schemes for hyperbolic conservation laws. Zbl 0565.65052van Leer, Bram 8 1984 On upstream differencing and Godunov-type schemes for hyperbolic conservation laws. Zbl 0565.65051Harten, Amiram; Lax, Peter D.; van Leer, Bram 737 1983 A comparative study of computational methods in cosmic gas dynamics. Zbl 0492.76117van Albada, G. D.; van Leer, B.; Roberts, W. W. jun. 138 1982 Upwind differencing for hyperbolic systems of conservation laws. Zbl 0467.76075van Leer, B. 6 1980 Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov’s method. Zbl 1364.65223van Leer, Bram 1,277 1979 Towards the ultimate conservative difference scheme. IV: A new approach to numerical convection. Zbl 0339.76056van Leer, Bram 326 1977 Towards the ultimate conservative difference scheme. III: Upstream- centered finite-difference schemes for ideal compressible flow. Zbl 0339.76039van Leer, Bram 116 1977 Towards the ultimate conservative difference scheme. II: Monotonicity and conservation combined in a second-order scheme. Zbl 0276.65055van Leer, Bram 349 1974 Towards the ultimate conservative difference scheme. I: The quest of monotonicity. Zbl 0255.76064van Leer, Bram 32 1973 Stabilization of difference schemes for the equations of inviscid compressible flow by artificial diffusion. Zbl 0167.25101van Leer, B. 6 1969 all cited Publications top 5 cited Publications all top 5 Cited by 4,097 Authors 44 Dumbser, Michael 40 Kurganov, Alexander 35 Toro, Eleuterio Francisco 30 Berthon, Christophe 26 Xiao, Feng 25 Xu, Kun 23 Castro, Manuel J. 23 Shu, Chi-Wang 22 Saurel, Richard 21 Balsara, Dinshaw S. 21 Farhat, Charbel H. 21 Munz, Claus-Dieter 20 Liu, Tiegang 20 Wang, Zhijian 19 Chalons, Christophe 18 Chertock, Alina E. 17 Drikakis, Dimitris 16 Loubère, Raphaël 16 Parés Madroñal, Carlos 15 Benson, David J. 14 Clain, Stéphane Louis 14 Li, Jiequan 14 Ostapenko, Vladimir Viktorovich 13 Groth, Clinton P. T. 13 Guardone, Alberto 13 Kitamura, Keiichi 13 Liang, Qiuhua 13 Luo, Hong 13 Schröder, Wolfgang Armin 13 Tang, Huazhong 13 Titarev, Vladimir A. 13 Yan, Chao 12 Abgrall, Rémi 12 Capdeville, Guy 12 Löhner, Rainald 12 Meinke, Matthias 12 Murillo, Javier 12 Nkonga, Boniface 12 Rider, William J. 11 Coquel, Frédéric 11 Deng, Xiaogang 11 Gaitonde, Datta V. 11 Gassner, Gregor J. 11 Jameson, Antony 11 Jiang, Song 11 Khoo, Boo Cheong 11 Qu, Feng 11 Roe, Philip L. 11 Shu, Chang 10 Boscheri, Walter 10 Colella, Phillip 10 Dervieux, Alain 10 Klein, Rupert 10 Klingenberg, Christian 10 Kovyrkina, Olyana A. 10 Liu, Xin 10 Nishikawa, Hiroaki 10 Seguin, Nicolas 10 Sun, Di 10 van Leer, Bram 9 Congedo, Pietro Marco 9 Deng, Xi 9 Dubroca, Bruno 9 Garcia-Navarro, Pilar 9 Gavrilyuk, Sergey L. 9 Guinot, Vincent 9 LeFloch, Philippe Gerard 9 Men’shov, Igor S. 9 Tian, Baolin 9 Touma, Rony 9 Turpault, Rodolphe 9 Vázquez-Cendón, María Elena 9 Xie, Bin 8 Colominas, Ignasi 8 Croisille, Jean-Pierre 8 Edwards, Michael G. 8 Foucher, Françoise 8 Helluy, Philippe 8 Hérard, Jean-Marc 8 Karni, Smadar 8 Kesserwani, Georges 8 Ren, Yuxin 8 Smith, Matthew R. 8 Tadmor, Eitan 8 Woodward, Paul R. 8 Youngs, David L. 7 Barsukow, Wasilij 7 Baum, Joseph D. 7 Bürger, Raimund 7 Causon, D. M. 7 Chandrashekar, Praveen 7 Daniel, Eric 7 Gaburro, Elena 7 Gallouët, Thierry 7 Ghidaglia, Jean-Michel 7 Guillard, Hervé 7 He, Zhiwei 7 Kim, Chongam 7 Koleva, Miglena Nikolaeva 7 Koobus, Bruno ...and 3,997 more Authors all top 5 Cited in 188 Serials 844 Journal of Computational Physics 426 Computers and Fluids 111 Journal of Scientific Computing 109 Computer Methods in Applied Mechanics and Engineering 98 International Journal for Numerical Methods in Fluids 66 Applied Mathematics and Computation 59 Applied Numerical Mathematics 58 Journal of Fluid Mechanics 57 Computers & Mathematics with Applications 57 International Journal of Computational Fluid Dynamics 47 Journal of Computational and Applied Mathematics 36 Applied Mathematical Modelling 34 SIAM Journal on Scientific Computing 33 Communications in Computational Physics 32 Mathematics of Computation 28 International Journal for Numerical Methods in Engineering 23 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 22 Physics of Fluids 21 European Journal of Mechanics. B. Fluids 19 Matematicheskoe Modelirovanie 18 Numerical Methods for Partial Differential Equations 17 Computational Mathematics and Mathematical Physics 17 International Journal of Numerical Methods for Heat & Fluid Flow 16 Computer Physics Communications 16 Numerische Mathematik 16 Advances in Applied Mathematics and Mechanics 15 Computational Mechanics 14 International Journal of Computational Methods 12 Shock Waves 12 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 12 Combustion Theory and Modelling 11 SIAM Journal on Numerical Analysis 11 International Journal of Computer Mathematics 11 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 11 Archives of Computational Methods in Engineering 10 International Journal of Heat and Mass Transfer 10 Computational Geosciences 9 Mathematics and Computers in Simulation 9 Communications in Numerical Methods in Engineering 9 Advances in Computational Mathematics 9 Flow, Turbulence and Combustion 8 Acta Mechanica 8 RAIRO. Modélisation Mathématique et Analyse Numérique 8 Mathematical Problems in Engineering 8 International Journal on Finite Volumes 7 Classical and Quantum Gravity 7 Mathematical Methods in the Applied Sciences 7 Physica D 7 Mathematical and Computer Modelling 7 Communications in Applied Mathematics and Computational Science 6 Theoretical and Computational Fluid Dynamics 6 Doklady Mathematics 6 Journal of Hyperbolic Differential Equations 6 AMM. Applied Mathematics and Mechanics. (English Edition) 6 Communications on Applied Mathematics and Computation 5 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 5 Applied Mathematics Letters 5 Russian Journal of Numerical Analysis and Mathematical Modelling 5 Communications in Nonlinear Science and Numerical Simulation 5 International Journal of Modern Physics C 5 Journal of Turbulence 4 Acta Applicandae Mathematicae 4 Continuum Mechanics and Thermodynamics 4 Computational and Applied Mathematics 4 Engineering Computations 4 Living Reviews in Relativity 4 Bulletin of the Brazilian Mathematical Society. New Series 4 Multiscale Modeling & Simulation 4 International Journal of Applied and Computational Mathematics 4 SMAI Journal of Computational Mathematics 3 Geophysical and Astrophysical Fluid Dynamics 3 Journal of Statistical Physics 3 Wave Motion 3 Calcolo 3 Computational Mathematics and Modeling 3 Numerical Algorithms 3 Engineering Analysis with Boundary Elements 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 3 Lobachevskii Journal of Mathematics 3 International Journal of Nonlinear Sciences and Numerical Simulation 3 Journal of Applied Mathematics 3 Acta Numerica 3 Networks and Heterogeneous Media 3 Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika 3 SIAM/ASA Journal on Uncertainty Quantification 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Applicable Analysis 2 Astrophysics and Space Science 2 Journal of Mathematical Physics 2 Transport Theory and Statistical Physics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Physics of Fluids, A 2 Bulletin of Mathematical Biology 2 BIT 2 Journal of Optimization Theory and Applications 2 Applied Mathematics and Mechanics. (English Edition) 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Communications in Applied Numerical Methods 2 Archive of Applied Mechanics ...and 88 more Serials all top 5 Cited in 42 Fields 2,224 Fluid mechanics (76-XX) 1,455 Numerical analysis (65-XX) 694 Partial differential equations (35-XX) 121 Classical thermodynamics, heat transfer (80-XX) 115 Mechanics of deformable solids (74-XX) 110 Geophysics (86-XX) 73 Statistical mechanics, structure of matter (82-XX) 49 Biology and other natural sciences (92-XX) 37 Optics, electromagnetic theory (78-XX) 34 Astronomy and astrophysics (85-XX) 26 Operations research, mathematical programming (90-XX) 21 Relativity and gravitational theory (83-XX) 15 Ordinary differential equations (34-XX) 15 Computer science (68-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 11 Integral equations (45-XX) 10 Dynamical systems and ergodic theory (37-XX) 10 Approximations and expansions (41-XX) 8 Probability theory and stochastic processes (60-XX) 8 Mechanics of particles and systems (70-XX) 8 Systems theory; control (93-XX) 5 History and biography (01-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Quantum theory (81-XX) 4 General and overarching topics; collections (00-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Real functions (26-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Statistics (62-XX) 2 Special functions (33-XX) 1 Combinatorics (05-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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