Edit Profile (opens in new tab) Rider, William J. Compute Distance To: Compute Author ID: rider.william-j Published as: Rider, William J.; Rider, W. J.; Rider, William more...less Documents Indexed: 39 Publications since 1993 1 Contribution as Editor Co-Authors: 87 Co-Authors with 32 Joint Publications 1,292 Co-Co-Authors all top 5 Co-Authors 7 single-authored 6 Kamm, James R. 6 Knoll, Dana A. 6 Margolin, Len G. 3 Greenough, Jeffrey A. 3 Kothe, Douglas B. 3 Mousseau, Vincent A. 3 Scovazzi, Guglielmo 2 Almgren, Ann S. 2 Bates, Jason W. 2 Bell, John B. 2 Grinstein, Fernando F. 2 Lowrie, Robert B. 2 Puckett, Elbridge Gerry 2 Shashkov, Mikhail J. 1 Aleinov, Igor D. 1 Aslam, Tariq D. 1 Banks, Jeffrey W. 1 Barlow, Andrew J. 1 Benjamin, Robert F. 1 Berry, Robert D. 1 Bhattacharjee, Amitava 1 Carpenter, J. H. 1 Chen, Jacqueline H. 1 Colella, Phillip 1 Daniel, David J. 1 Debusschere, Bert J. 1 Deslippe, Jack 1 Diachin, Lori Freitag 1 Draeger, Erik 1 Drake, R. R. 1 Drikakis, Dimitris 1 Dubey, Anshu 1 Dunning, Thom H. jun. 1 Evans, Thomas M. 1 Foster, Ian T. 1 Francois, Marianne M. 1 Germann, Tim 1 Goncharov, Evgeny A. 1 Gordon, Mark S. 1 Habib, Salman 1 Halappanavar, Mahantesh 1 Hamilton, Steven P. 1 Huang, Zhenyu 1 Hungerford, Aimee L. 1 Kasen, Daniel 1 Kent, Paul R. C. 1 Kolev, Tzanio V. 1 Kolobyanin, Vadim Yu. 1 Kronfeld, Andreas S. 1 Labreche, D. A. 1 Luo, Ye 1 Mackenzie, Paul B. 1 Maire, Pierre-Henri 1 Marcus, Daniel L. 1 Marr-Lyon, Mark J. 1 Mattsson, A. E. 1 McCallen, David B. 1 Messer, Bronson 1 Mniszewski, Sue 1 Oehmen, Chris 1 Olson, Gordon L. 1 Perazzo, Amedeo 1 Perez, Danny 1 Petney, S. V. 1 Prestridge, Kathy P. 1 Rieben, Rob 1 Rieben, Robert N. 1 Rightley, Paul M. 1 Roche, Kenneth 1 Sadchikov, Vitaly V. 1 Shadid, John N. 1 Sprague, Michael A. 1 Steefel, Carl I. 1 Stevens, Rick L. 1 Strack, O. Erik 1 Syamlal, Madhava 1 Tomkins, Chris 1 Vay, Jean-Luc 1 Voter, Artur F. 1 Weirs, V. Gregory 1 Wildey, Tim M. 1 Windus, Theresa L. 1 Witkowski, Walt 1 Wong, M. K. 1 Yanilkin, Yury V. 1 Yelick, Katherine A. 1 Zoldi, Cindy all top 5 Serials 14 Journal of Computational Physics 8 International Journal for Numerical Methods in Fluids 5 Computers and Fluids 1 Computers & Mathematics with Applications 1 Computer Methods in Applied Mechanics and Engineering 1 SIAM Journal on Scientific Computing 1 Communications in Numerical Methods in Engineering 1 Journal of Turbulence 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences Fields 29 Fluid mechanics (76-XX) 17 Numerical analysis (65-XX) 8 Partial differential equations (35-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 38 Publications have been cited 1,178 times in 964 Documents Cited by ▼ Year ▼ Reconstructing volume tracking. Zbl 0933.76069Rider, William J.; Kothe, Douglas B. 363 1998 A high-order projection method for tracking fluid interfaces in variable density incompressible flows. Zbl 0872.76065Puckett, Elbridge Gerry; Almgren, Ann S.; Bell, John B.; Marcus, Daniel L.; Rider, William J. 147 1997 Implicit large eddy simulation. Computing turbulent fluid dynamics. Zbl 1135.76001 120 2007 Arbitrary Lagrangian-Eulerian methods for modeling high-speed compressible multimaterial flows. Zbl 1351.76093Barlow, Andrew J.; Maire, Pierre-Henri; Rider, William J.; Rieben, Robert N.; Shashkov, Mikhail J. 55 2016 Physics-based preconditioning and the Newton-Krylov method for non-equilibrium radiation diffusion. Zbl 0949.65092Mousseau, V. A.; Knoll, D. A.; Rider, W. J. 54 2000 Modeling turbulent flow with implicit LES. Zbl 1273.76213Margolin, L. G.; Rider, W. J.; Grinstein, F. F. 51 2006 A rationale for implicit turbulence modelling. Zbl 1014.76032Margolin, Len G.; Rider, William J. 39 2002 On sub-linear convergence for linearly degenerate waves in capturing schemes. Zbl 1145.65061Banks, J. W.; Aslam, T.; Rider, W. J. 35 2008 A multigrid preconditioned Newton-Krylov method. Zbl 0952.65102Knoll, D. A.; Rider, W. J. 33 1999 A conservative nodal variational multiscale method for Lagrangian shock hydrodynamics. Zbl 1225.76204Scovazzi, G.; Shadid, J. N.; Love, E.; Rider, W. J. 27 2010 A multigrid Newton-Krylov method for multimaterial equilibrium radiation diffusion. Zbl 0944.85002Rider, William J.; Knoll, Dana A.; Olson, Gordon L. 26 1999 Accurate monotonicity- and extrema-preserving methods through adaptive nonlinear hybridizations. Zbl 1343.76036Rider, William J.; Greenough, Jeffrey A.; Kamm, James R. 25 2007 The design and construction of implicit LES models. Zbl 1064.76060Margolin, L. G.; Rider, W. J. 20 2005 Simple modifications of monotonicity-preserving limiters. Zbl 1009.76067Rider, William J.; Margolin, Len G. 20 2001 Multi-material pressure relaxation methods for Lagrangian hydrodynamics. Zbl 1290.76138Yanilkin, Yury V.; Goncharov, Evgeny A.; Kolobyanin, Vadim Yu.; Sadchikov, Vitaly V.; Kamm, James R.; Shashkov, Mikhail J.; Rider, William J. 20 2013 Revisiting wall heating. Zbl 0977.76041Rider, William J. 19 2000 A quantitative comparison of numerical methods for the compressible Euler equations: fifth-order WENO and piecewise-linear Godunov. Zbl 1115.76370Greenough, J. A.; Rider, W. J. 19 2004 On consistent time-integration methods for radiation hydrodynamics in the equilibrium diffusion limit: Low-energy-density regime. Zbl 1052.76041Bates, J. W.; Knoll, D. A.; Rider, W. J.; Lowrie, R. B.; Mousseau, V. A. 14 2001 Time step size selection for radiation diffusion calculations. Zbl 0940.65101Rider, William J.; Knoll, Dana A. 13 1999 A review of approximate Riemann solvers with Godunov’s method in Lagrangian coordinates. Zbl 0802.76050Rider, William J. 13 1994 An adaptive Riemann solver using a two-shock approximation. Zbl 0965.76067Rider, W. J. 11 1999 Stability analysis of a predictor/multi-corrector method for staggered-grid Lagrangian shock hydrodynamics. Zbl 1172.76025Love, E.; Rider, W. J.; Scovazzi, G. 7 2009 The relationship of MPDATA to other high-resolution methods. Zbl 1329.76141Rider, W. J. 6 2006 Filtering non-solenoidal modes in numerical solutions of incompressible flows. Zbl 0931.76062Rider, William J. 6 1998 Methods for extending high-resolution schemes to nonlinear systems of hyperbolic conservation laws. Zbl 0793.76056Rider, William J. 5 1993 Combining high-order accuracy with non-oscillatory methods through monotonicity preservation. Zbl 1066.65087Rider, W. J.; Greenough, J. A.; Kamm, J. R. 5 2005 Accurate and robust methods for variable density incompressible flows with discontinuities. Zbl 0942.76059Rider, W. J.; Kothe, D. B.; Puckett, E. G.; Aleinov, I. D. 4 1998 A multigrid Newton-Krylov solver for nonlinear systems. Zbl 0973.65041Mousseau, V. A.; Knoll, D. A.; Rider, W. J. 3 2000 The use of classical Lax-Friedrichs Riemann solvers with discontinuous Galerkin methods. Zbl 1019.76032Rider, W. J.; Lowrie, R. B. 3 2002 Adaptive methods for multi-material ALE hydrodynamics. Zbl 1456.76106Rider, W. J.; Love, E.; Wong, M. K.; Strack, O. E.; Petney, S. V.; Labreche, D. A. 3 2011 High resolution methods for computing turbulent flows. Zbl 1125.76355Rider, William J.; Drikakis, Dimitris 3 2002 Robust verification analysis. Zbl 1352.65137Rider, William; Witkowski, Walt; Kamm, James R.; Wildey, Tim 2 2016 A high resolution Lagrangian method using nonlinear hybridization and hyperviscosity. Zbl 1290.76069Rider, W. J.; Love, E.; Scovazzi, G.; Weirs, V. G. 2 2013 On the convergence of finite difference methods for PDE under temporal refinement. Zbl 1416.65273Love, E.; Rider, W. J. 1 2013 A comparison of TVD Lax–Wendroff methods. Zbl 0780.65053Rider, William J. 1 1993 A high-resolution Godunov method for modeling anomalous fluid behaviour. Zbl 1064.76581Rider, William J.; Bates, Jason W. 1 2001 Fundamental issues in the representation and propagation of uncertain equation of state information in shock hydrodynamics. Zbl 1290.76058Robinson, A. C.; Berry, R. D.; Carpenter, J. H.; Debusschere, B.; Drake, R. R.; Mattsson, A. E.; Rider, W. J. 1 2013 Exascale applications: skin in the game. Zbl 1462.65230Alexander, Francis; Almgren, Ann; Bell, John; Bhattacharjee, Amitava; Chen, Jacqueline; Colella, Phil; Daniel, David; Deslippe, Jack; Diachin, Lori; Draeger, Erik; Dubey, Anshu; Dunning, Thom; Evans, Thomas; Foster, Ian; Francois, Marianne; Germann, Tim; Gordon, Mark; Habib, Salman; Halappanavar, Mahantesh; Hamilton, Steven; Hart, William; Huang, Zhenyu (henry); Hungerford, Aimee; Kasen, Daniel; Kent, Paul R. C.; Kolev, Tzanio; Kothe, Douglas B.; Kronfeld, Andreas; Luo, Ye; Mackenzie, Paul; Mccallen, David; Messer, Bronson; Mniszewski, Sue; Oehmen, Chris; Perazzo, Amedeo; Perez, Danny; Richards, David; Rider, William J.; Rieben, Rob; Roche, Kenneth; Siegel, Andrew; Sprague, Michael; Steefel, Carl; Stevens, Rick; Syamlal, Madhava; Taylor, Mark; Turner, John; Vay, Jean-Luc; Voter, Artur F.; Windus, Theresa L.; Yelick, Katherine 1 2020 Exascale applications: skin in the game. Zbl 1462.65230Alexander, Francis; Almgren, Ann; Bell, John; Bhattacharjee, Amitava; Chen, Jacqueline; Colella, Phil; Daniel, David; Deslippe, Jack; Diachin, Lori; Draeger, Erik; Dubey, Anshu; Dunning, Thom; Evans, Thomas; Foster, Ian; Francois, Marianne; Germann, Tim; Gordon, Mark; Habib, Salman; Halappanavar, Mahantesh; Hamilton, Steven; Hart, William; Huang, Zhenyu (henry); Hungerford, Aimee; Kasen, Daniel; Kent, Paul R. C.; Kolev, Tzanio; Kothe, Douglas B.; Kronfeld, Andreas; Luo, Ye; Mackenzie, Paul; Mccallen, David; Messer, Bronson; Mniszewski, Sue; Oehmen, Chris; Perazzo, Amedeo; Perez, Danny; Richards, David; Rider, William J.; Rieben, Rob; Roche, Kenneth; Siegel, Andrew; Sprague, Michael; Steefel, Carl; Stevens, Rick; Syamlal, Madhava; Taylor, Mark; Turner, John; Vay, Jean-Luc; Voter, Artur F.; Windus, Theresa L.; Yelick, Katherine 1 2020 Arbitrary Lagrangian-Eulerian methods for modeling high-speed compressible multimaterial flows. Zbl 1351.76093Barlow, Andrew J.; Maire, Pierre-Henri; Rider, William J.; Rieben, Robert N.; Shashkov, Mikhail J. 55 2016 Robust verification analysis. Zbl 1352.65137Rider, William; Witkowski, Walt; Kamm, James R.; Wildey, Tim 2 2016 Multi-material pressure relaxation methods for Lagrangian hydrodynamics. Zbl 1290.76138Yanilkin, Yury V.; Goncharov, Evgeny A.; Kolobyanin, Vadim Yu.; Sadchikov, Vitaly V.; Kamm, James R.; Shashkov, Mikhail J.; Rider, William J. 20 2013 A high resolution Lagrangian method using nonlinear hybridization and hyperviscosity. Zbl 1290.76069Rider, W. J.; Love, E.; Scovazzi, G.; Weirs, V. G. 2 2013 On the convergence of finite difference methods for PDE under temporal refinement. Zbl 1416.65273Love, E.; Rider, W. J. 1 2013 Fundamental issues in the representation and propagation of uncertain equation of state information in shock hydrodynamics. Zbl 1290.76058Robinson, A. C.; Berry, R. D.; Carpenter, J. H.; Debusschere, B.; Drake, R. R.; Mattsson, A. E.; Rider, W. J. 1 2013 Adaptive methods for multi-material ALE hydrodynamics. Zbl 1456.76106Rider, W. J.; Love, E.; Wong, M. K.; Strack, O. E.; Petney, S. V.; Labreche, D. A. 3 2011 A conservative nodal variational multiscale method for Lagrangian shock hydrodynamics. Zbl 1225.76204Scovazzi, G.; Shadid, J. N.; Love, E.; Rider, W. J. 27 2010 Stability analysis of a predictor/multi-corrector method for staggered-grid Lagrangian shock hydrodynamics. Zbl 1172.76025Love, E.; Rider, W. J.; Scovazzi, G. 7 2009 On sub-linear convergence for linearly degenerate waves in capturing schemes. Zbl 1145.65061Banks, J. W.; Aslam, T.; Rider, W. J. 35 2008 Implicit large eddy simulation. Computing turbulent fluid dynamics. Zbl 1135.76001 120 2007 Accurate monotonicity- and extrema-preserving methods through adaptive nonlinear hybridizations. Zbl 1343.76036Rider, William J.; Greenough, Jeffrey A.; Kamm, James R. 25 2007 Modeling turbulent flow with implicit LES. Zbl 1273.76213Margolin, L. G.; Rider, W. J.; Grinstein, F. F. 51 2006 The relationship of MPDATA to other high-resolution methods. Zbl 1329.76141Rider, W. J. 6 2006 The design and construction of implicit LES models. Zbl 1064.76060Margolin, L. G.; Rider, W. J. 20 2005 Combining high-order accuracy with non-oscillatory methods through monotonicity preservation. Zbl 1066.65087Rider, W. J.; Greenough, J. A.; Kamm, J. R. 5 2005 A quantitative comparison of numerical methods for the compressible Euler equations: fifth-order WENO and piecewise-linear Godunov. Zbl 1115.76370Greenough, J. A.; Rider, W. J. 19 2004 A rationale for implicit turbulence modelling. Zbl 1014.76032Margolin, Len G.; Rider, William J. 39 2002 The use of classical Lax-Friedrichs Riemann solvers with discontinuous Galerkin methods. Zbl 1019.76032Rider, W. J.; Lowrie, R. B. 3 2002 High resolution methods for computing turbulent flows. Zbl 1125.76355Rider, William J.; Drikakis, Dimitris 3 2002 Simple modifications of monotonicity-preserving limiters. Zbl 1009.76067Rider, William J.; Margolin, Len G. 20 2001 On consistent time-integration methods for radiation hydrodynamics in the equilibrium diffusion limit: Low-energy-density regime. Zbl 1052.76041Bates, J. W.; Knoll, D. A.; Rider, W. J.; Lowrie, R. B.; Mousseau, V. A. 14 2001 A high-resolution Godunov method for modeling anomalous fluid behaviour. Zbl 1064.76581Rider, William J.; Bates, Jason W. 1 2001 Physics-based preconditioning and the Newton-Krylov method for non-equilibrium radiation diffusion. Zbl 0949.65092Mousseau, V. A.; Knoll, D. A.; Rider, W. J. 54 2000 Revisiting wall heating. Zbl 0977.76041Rider, William J. 19 2000 A multigrid Newton-Krylov solver for nonlinear systems. Zbl 0973.65041Mousseau, V. A.; Knoll, D. A.; Rider, W. J. 3 2000 A multigrid preconditioned Newton-Krylov method. Zbl 0952.65102Knoll, D. A.; Rider, W. J. 33 1999 A multigrid Newton-Krylov method for multimaterial equilibrium radiation diffusion. Zbl 0944.85002Rider, William J.; Knoll, Dana A.; Olson, Gordon L. 26 1999 Time step size selection for radiation diffusion calculations. Zbl 0940.65101Rider, William J.; Knoll, Dana A. 13 1999 An adaptive Riemann solver using a two-shock approximation. Zbl 0965.76067Rider, W. J. 11 1999 Reconstructing volume tracking. Zbl 0933.76069Rider, William J.; Kothe, Douglas B. 363 1998 Filtering non-solenoidal modes in numerical solutions of incompressible flows. Zbl 0931.76062Rider, William J. 6 1998 Accurate and robust methods for variable density incompressible flows with discontinuities. Zbl 0942.76059Rider, W. J.; Kothe, D. B.; Puckett, E. G.; Aleinov, I. D. 4 1998 A high-order projection method for tracking fluid interfaces in variable density incompressible flows. Zbl 0872.76065Puckett, Elbridge Gerry; Almgren, Ann S.; Bell, John B.; Marcus, Daniel L.; Rider, William J. 147 1997 A review of approximate Riemann solvers with Godunov’s method in Lagrangian coordinates. Zbl 0802.76050Rider, William J. 13 1994 Methods for extending high-resolution schemes to nonlinear systems of hyperbolic conservation laws. Zbl 0793.76056Rider, William J. 5 1993 A comparison of TVD Lax–Wendroff methods. Zbl 0780.65053Rider, William J. 1 1993 all cited Publications top 5 cited Publications all top 5 Cited by 1,752 Authors 21 Shashkov, Mikhail J. 20 Knoll, Dana A. 15 Drikakis, Dimitris 15 Rider, William J. 14 Adams, Nikolaus A. 14 Xiao, Feng 13 Scovazzi, Guglielmo 13 Smolarkiewicz, Piotr K. 13 Weigand, Bernhard 12 Dumbser, Michael 12 Francois, Marianne M. 12 Margolin, Len G. 11 Loubère, Raphaël 11 Maire, Pierre-Henri 11 Manservisi, Sandro 11 Scardovelli, Ruben 10 Banks, Jeffrey W. 10 Boscheri, Walter 10 López, Joaquín 9 Bothe, Dieter 9 Chacón, Luis 9 Gomez, Pablo 8 Griffith, Boyce E. 8 Jia, Zupeng 8 Zaleski, Stéphane 7 Bhalla, Amneet Pal Singh 7 Biswas, Gautam 7 Colella, Phillip 7 Faura, Félix 7 Hickel, Stefan 7 Kuchařík, Milan 7 Mousseau, Vincent A. 7 Reisner, Jon M. 7 Shadid, John N. 7 Williams, Robin J. R. 7 Yu, Xijun 6 Aulisa, Eugenio 6 Barlow, Andrew J. 6 Bonet, Javier 6 Caboussat, Alexandre 6 Christon, Mark A. 6 Domaradzki, J. Andrzej 6 Fuchs, László 6 Garimella, Rao V. 6 Gil, Antonio J. 6 González-Pinto, Severiano 6 Hernández, Juan José 6 Jiang, Zhenhua 6 Morgan, Nathaniel R. 6 Moura, Rodrigo Costa 6 Peiró, Joaquim 6 Pérez Rodríguez, S. 6 Qing, Fang 6 Qiu, Jianxian 6 San, Omer 6 Sherwin, Spencer J. 6 Sussman, Mark 6 Tomar, Gaurav 6 Vincent, Stéphane 6 Yan, Chao 6 Youngs, David L. 5 Cook, Andrew W. 5 Desjardins, Olivier 5 Geurts, Bernard J. 5 Grinstein, Fernando F. 5 Kadioglu, Samet Y. 5 Kenamond, Mack 5 Kim, Junseok 5 Lee, Chun Hean 5 Lowengrub, John Samuel 5 Lowrie, Robert B. 5 Sharma, Ashutosh 5 Szmelter, Joanna 5 Xu, Xiaowen 5 Zanzi, Claudio 5 Zeng, Xianyi 4 Abgrall, Rémi 4 Aguirre, Miquel 4 An, Hengbin 4 Bakosi, Jozsef 4 Berndt, Markus 4 Boersma, Bendiks Jan 4 Breil, Jérôme 4 Bussmann, Markus 4 Carpio, Jaime 4 Cervone, Antonio 4 Deng, Xi 4 Denner, Fabian 4 Henshaw, William D. 4 Kamm, James R. 4 Kokkinakis, Ioannis W. 4 Kothe, Douglas B. 4 Kühnlein, Christian 4 Lappa, Marcello 4 Liu, Tiegang 4 Mandal, Jadav Chandra 4 Marschall, Holger 4 Mavriplis, Dimitri J. 4 Mengaldo, Gianmarco 4 Mostaghimi, Javad ...and 1,652 more Authors all top 5 Cited in 81 Serials 422 Journal of Computational Physics 172 Computers and Fluids 34 Computer Methods in Applied Mechanics and Engineering 28 International Journal for Numerical Methods in Fluids 28 Journal of Fluid Mechanics 23 Computers & Mathematics with Applications 19 Physics of Fluids 18 International Journal of Computational Fluid Dynamics 17 Applied Mathematical Modelling 14 Journal of Computational and Applied Mathematics 12 European Journal of Mechanics. B. Fluids 12 Communications in Computational Physics 11 Journal of Scientific Computing 8 International Journal of Heat and Mass Transfer 7 SIAM Journal on Scientific Computing 7 Archives of Computational Methods in Engineering 6 Applied Mathematics and Computation 6 International Journal for Numerical Methods in Engineering 6 Applied Numerical Mathematics 6 International Journal of Numerical Methods for Heat & Fluid Flow 5 Journal of Turbulence 4 Computer Physics Communications 4 Physica D 4 Computational Mechanics 4 Flow, Turbulence and Combustion 4 Advances in Applied Mathematics and Mechanics 3 Theoretical and Computational Fluid Dynamics 3 Computational Geosciences 3 Sādhanā 2 Fluid Dynamics 2 Physics Reports 2 Applied Mathematics and Mechanics. (English Edition) 2 Mathematical and Computer Modelling 2 Numerical Algorithms 2 International Journal of Computer Mathematics 2 Numerical Linear Algebra with Applications 2 Computational and Applied Mathematics 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Matematicheskoe Modelirovanie 2 Journal of Applied Mathematics 2 International Journal of Computational Methods 2 ISRN Applied Mathematics 2 AMM. Applied Mathematics and Mechanics. (English Edition) 2 Communications on Applied Mathematics and Computation 1 Acta Mechanica 1 Journal of Engineering Mathematics 1 Physica A 1 Wave Motion 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Shock Waves 1 BIT 1 International Journal of Mathematics and Mathematical Sciences 1 Mathematics and Computers in Simulation 1 SIAM Journal on Numerical Analysis 1 Computer Aided Geometric Design 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Computational Mathematics and Mathematical Physics 1 Journal of Non-Equilibrium Thermodynamics 1 Journal of Non-Newtonian Fluid Mechanics 1 SIAM Review 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Engineering Analysis with Boundary Elements 1 Lobachevskii Journal of Mathematics 1 Differential Equations 1 Discrete and Continuous Dynamical Systems. Series B 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Acta Numerica 1 International Journal of Numerical Analysis and Modeling 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Acta Mechanica Sinica 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 International Journal for Computational Methods in Engineering Science and Mechanics 1 International Journal for Numerical Methods in Biomedical Engineering 1 International Journal of Advances in Engineering Sciences and Applied Mathematics 1 Arabian Journal for Science and Engineering 1 Mathematical Sciences 1 Evolution Equations and Control Theory 1 East Asian Journal on Applied Mathematics 1 Journal of Function Spaces 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences all top 5 Cited in 24 Fields 812 Fluid mechanics (76-XX) 438 Numerical analysis (65-XX) 101 Partial differential equations (35-XX) 62 Mechanics of deformable solids (74-XX) 33 Classical thermodynamics, heat transfer (80-XX) 23 Statistical mechanics, structure of matter (82-XX) 19 Geophysics (86-XX) 11 Biology and other natural sciences (92-XX) 9 Astronomy and astrophysics (85-XX) 8 Optics, electromagnetic theory (78-XX) 6 Computer science (68-XX) 4 Ordinary differential equations (34-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Approximations and expansions (41-XX) 3 Probability theory and stochastic processes (60-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Integral equations (45-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Statistics (62-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Mechanics of particles and systems (70-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year