Edit Profile (opens in new tab) Ruuth, Steven J. Compute Distance To: Compute Author ID: ruuth.steven-j Published as: Ruuth, Steven J.; Ruuth, S. J.; Ruuth, Steven more...less Homepage: https://steveruuth.org/ External Links: MGP · ORCID · Google Scholar · ResearchGate · dblp Documents Indexed: 49 Publications since 1995 Co-Authors: 31 Co-Authors with 43 Joint Publications 838 Co-Co-Authors all top 5 Co-Authors 5 single-authored 9 Merriman, Barry 7 Macdonald, Colin B. 6 Spiteri, Raymond J. 4 Hundsdorfer, Willem H. 4 Ling, Leevan 4 Petras, Argyrios 3 Esedoglu, Selim 3 Gottlieb, Sigal 3 Osher, Stanley Joel 3 Tsai, Yen-Hsi Richard 2 Ascher, Uri M. 2 Haynes, Ronald D. 2 May, Ian C. T. 2 Wetton, Brian T. R. 1 Bass, Alexander 1 Brandman, Jeremy 1 Cheung, Ka Chun 1 Chow, Kevin K. W. 1 Huang, Juntao 1 Ketcheson, David I. 1 King, Nathan D. 1 März, Thomas 1 Motamed, Mohammad 1 Mullen, Julia S. 1 Piret, Cécile 1 Putterman, Seth J. 1 Rockstroh, Parousia 1 Rozada, Ignacio 1 Ward, Michael J. 1 Xin, Jack X. 1 Zhao, Weifeng all top 5 Serials 18 Journal of Computational Physics 9 Journal of Scientific Computing 5 SIAM Journal on Numerical Analysis 2 Mathematics of Computation 2 SIAM Journal on Scientific Computing 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Biology 1 Mathematics and Computers in Simulation 1 Journal of Computational Mathematics 1 Applied Numerical Mathematics 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Journal on Applied Mathematics 1 Journal of Nonlinear Science 1 Interfaces and Free Boundaries 1 SIAM Journal on Applied Dynamical Systems all top 5 Fields 42 Numerical analysis (65-XX) 31 Partial differential equations (35-XX) 6 Ordinary differential equations (34-XX) 5 Fluid mechanics (76-XX) 3 Differential geometry (53-XX) 3 Global analysis, analysis on manifolds (58-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 44 Publications have been cited 2,097 times in 1,319 Documents Cited by ▼ Year ▼ Implicit-explicit methods for time-dependent partial differential equations. Zbl 0841.65081Ascher, Uri M.; Ruuth, Steven J.; Wetton, Brian T. R. 395 1995 Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations. Zbl 0896.65061Ascher, Uri M.; Ruuth, Steven J.; Spiteri, Raymond J. 388 1997 A new class of optimal high-order strong-stability-preserving time discretization methods. Zbl 1020.65064Spiteri, Raymond J.; Ruuth, Steven J. 234 2002 Implicit-explicit methods for reaction-diffusion problems in pattern formation. Zbl 0835.92006Ruuth, Steven J. 101 1995 A simple embedding method for solving partial differential equations on surfaces. Zbl 1134.65058Ruuth, Steven J.; Merriman, Barry 97 2008 IMEX extensions of linear multistep methods with general monotonicity and boundedness properties. Zbl 1123.65068Hundsdorfer, Willem; Ruuth, Steven J. 87 2007 The implicit closest point method for the numerical solution of partial differential equations on surfaces. Zbl 1205.65238MacDonald, Colin B.; Ruuth, Steven J. 67 2009 Global optimization of explicit strong-stability-preserving Runge-Kutta methods. Zbl 1080.65088Ruuth, Steven J. 53 2006 Monotonicity-preserving linear multistep methods. Zbl 1050.65070Hundsdorfer, Willem; Ruuth, Steven J.; Spiteri, Raymond J. 50 2003 Efficient algorithms for diffusion-generated motion by mean curvature. Zbl 0946.65093Ruuth, Steven J. 43 1998 Level set equations on surfaces via the closest point method. Zbl 1203.65143Macdonald, Colin B.; Ruuth, Steven J. 40 2008 High-order linear multistep methods with general monotonicity and boundedness properties. Zbl 1074.65085Ruuth, Steven J.; Hundsdorfer, Willem 40 2005 Two barriers on strong-stability-preserving time discretization methods. Zbl 1003.65107Ruuth, Steven J.; Spiteri, Raymond J. 35 2002 Non-linear evolution using optimal fourth-order strong-stability-preserving Runge-Kutta methods. Zbl 1015.65031Spiteri, Raymond J.; Ruuth, Steven J. 35 2003 A diffusion-generated approach to multiphase motion. Zbl 0929.76101Ruuth, Steven J. 30 1998 High-order strong-stability-preserving Runge-Kutta methods with downwind-biased spatial discretizations. Zbl 1089.65069Ruuth, Steven J.; Spiteri, Raymond J. 26 2004 A simple scheme for volume-preserving motion by mean curvature. Zbl 1035.65097Ruuth, Steven J.; Wetton, Brian T. R. 26 2003 On monotonicity and boundedness properties of linear multistep methods. Zbl 1092.65059Hundsdorfer, Willem; Ruuth, Steven J. 25 2006 The stability of localized spot patterns for the Brusselator on the sphere. Zbl 1302.35033Rozada, Ignacio; Ruuth, Steven J.; Ward, M. J. 24 2014 Solving eigenvalue problems on curved surfaces using the closest point method. Zbl 1231.65205Macdonald, Colin B.; Brandman, Jeremy; Ruuth, Steven J. 24 2011 Simple computation of reaction-diffusion processes on point clouds. Zbl 1292.65093Macdonald, Colin B.; Merriman, Barry; Ruuth, Steven J. 23 2013 Threshold dynamics for high order geometric motions. Zbl 1157.65330Esedoḡlu, Selim; Ruuth, Steven J.; Tsai, Richard 23 2008 Optimal strong-stability-preserving time-stepping schemes with fast downwind spatial discretizations. Zbl 1115.65092Gottlieb, Sigal; Ruuth, Steven J. 19 2006 Convolution-generated motion and generalized Huygens’ principles for interface motion. Zbl 0958.65021Ruuth, Steven J.; Merriman, Barry 18 2000 Diffusion-generated motion by mean curvature for filaments. Zbl 1037.35033Ruuth, S. J.; Merriman, B.; Xin, J.; Osher, S. 18 2001 A fixed grid method for capturing the motion of self-intersecting wavefronts and related PDEs. Zbl 0963.65097Ruuth, Steven J.; Merriman, Barry; Osher, Stanley 17 2000 Diffusion generated motion using signed distance functions. Zbl 1181.65031Esedoglu, Selim; Ruuth, Steven; Tsai, Richard 17 2010 Spatially partitioned embedded Runge-Kutta methods. Zbl 1285.65061Ketcheson, David I.; Macdonald, Colin B.; Ruuth, Steven J. 16 2013 Variable step-size implicit-explicit linear multistep methods for time-dependent partial differential equations. Zbl 1174.65037Wang, Dong; Ruuth, Steven J. 16 2008 A fifth-order flux-implicit WENO method. Zbl 1107.76051Gottlieb, Sigal; Mullen, Julia S.; Ruuth, Steven J. 15 2006 An RBF-FD closest point method for solving PDEs on surfaces. Zbl 1395.65029Petras, A.; Ling, L.; Ruuth, S. J. 13 2018 Diffusion generated motion of curves on surfaces. Zbl 1123.65011Merriman, Barry; Ruuth, Steven J. 13 2007 Convolution-thresholding methods for interface motion. Zbl 0988.65094Ruuth, Steven J.; Merriman, Barry 11 2001 On the linear stability of the fifth-order WENO discretization. Zbl 1217.65180Motamed, Mohammad; Macdonald, Colin B.; Ruuth, Steven J. 10 2011 PDEs on moving surfaces via the closest point method and a modified grid based particle method. Zbl 1351.76247Petras, A.; Ruuth, S. J. 10 2016 A numerical study of diagonally split Runge-Kutta methods for PDEs with discontinuities. Zbl 1203.65167Macdonald, Colin B.; Gottlieb, Sigal; Ruuth, Steven J. 8 2008 Convolution-generated motion as a link between cellular automata and continuum pattern dynamics. Zbl 0938.68058Ruuth, Steven J.; Merriman, Barry; Osher, Stanley 8 1999 A least-squares implicit RBF-FD closest point method and applications to PDEs on moving surfaces. Zbl 1451.65110Petras, A.; Ling, L.; Piret, C.; Ruuth, S. J. 7 2019 A localized meshless method for diffusion on folded surfaces. Zbl 1349.65508Cheung, Ka Chun; Ling, Leevan; Ruuth, Steven J. 5 2015 An algorithm for generating motion by mean curvature. Zbl 0854.65085Ruuth, Steven J. 4 1996 An embedding technique for the solution of reaction-diffusion equations on algebraic surfaces with isolated singularities. Zbl 1335.65084März, Thomas; Rockstroh, Parousia; Ruuth, Steven J. 3 2016 Solving variational problems and partial differential equations that map between manifolds via the closest point method. Zbl 1375.35586King, Nathan D.; Ruuth, Steven J. 1 2017 Symmetry reduction for molecular dynamics simulation of an imploding gas bubble. Zbl 1136.76039Bass, Alexander; Putterman, Seth; Merriman, Barry; Ruuth, Steven J. 1 2008 Boundary treatment of high order Runge-Kutta methods for hyperbolic conservation laws. Zbl 07508349Zhao, Weifeng; Huang, Juntao; Ruuth, Steven J. 1 2020 Boundary treatment of high order Runge-Kutta methods for hyperbolic conservation laws. Zbl 07508349Zhao, Weifeng; Huang, Juntao; Ruuth, Steven J. 1 2020 A least-squares implicit RBF-FD closest point method and applications to PDEs on moving surfaces. Zbl 1451.65110Petras, A.; Ling, L.; Piret, C.; Ruuth, S. J. 7 2019 An RBF-FD closest point method for solving PDEs on surfaces. Zbl 1395.65029Petras, A.; Ling, L.; Ruuth, S. J. 13 2018 Solving variational problems and partial differential equations that map between manifolds via the closest point method. Zbl 1375.35586King, Nathan D.; Ruuth, Steven J. 1 2017 PDEs on moving surfaces via the closest point method and a modified grid based particle method. Zbl 1351.76247Petras, A.; Ruuth, S. J. 10 2016 An embedding technique for the solution of reaction-diffusion equations on algebraic surfaces with isolated singularities. Zbl 1335.65084März, Thomas; Rockstroh, Parousia; Ruuth, Steven J. 3 2016 A localized meshless method for diffusion on folded surfaces. Zbl 1349.65508Cheung, Ka Chun; Ling, Leevan; Ruuth, Steven J. 5 2015 The stability of localized spot patterns for the Brusselator on the sphere. Zbl 1302.35033Rozada, Ignacio; Ruuth, Steven J.; Ward, M. J. 24 2014 Simple computation of reaction-diffusion processes on point clouds. Zbl 1292.65093Macdonald, Colin B.; Merriman, Barry; Ruuth, Steven J. 23 2013 Spatially partitioned embedded Runge-Kutta methods. Zbl 1285.65061Ketcheson, David I.; Macdonald, Colin B.; Ruuth, Steven J. 16 2013 Solving eigenvalue problems on curved surfaces using the closest point method. Zbl 1231.65205Macdonald, Colin B.; Brandman, Jeremy; Ruuth, Steven J. 24 2011 On the linear stability of the fifth-order WENO discretization. Zbl 1217.65180Motamed, Mohammad; Macdonald, Colin B.; Ruuth, Steven J. 10 2011 Diffusion generated motion using signed distance functions. Zbl 1181.65031Esedoglu, Selim; Ruuth, Steven; Tsai, Richard 17 2010 The implicit closest point method for the numerical solution of partial differential equations on surfaces. Zbl 1205.65238MacDonald, Colin B.; Ruuth, Steven J. 67 2009 A simple embedding method for solving partial differential equations on surfaces. Zbl 1134.65058Ruuth, Steven J.; Merriman, Barry 97 2008 Level set equations on surfaces via the closest point method. Zbl 1203.65143Macdonald, Colin B.; Ruuth, Steven J. 40 2008 Threshold dynamics for high order geometric motions. Zbl 1157.65330Esedoḡlu, Selim; Ruuth, Steven J.; Tsai, Richard 23 2008 Variable step-size implicit-explicit linear multistep methods for time-dependent partial differential equations. Zbl 1174.65037Wang, Dong; Ruuth, Steven J. 16 2008 A numerical study of diagonally split Runge-Kutta methods for PDEs with discontinuities. Zbl 1203.65167Macdonald, Colin B.; Gottlieb, Sigal; Ruuth, Steven J. 8 2008 Symmetry reduction for molecular dynamics simulation of an imploding gas bubble. Zbl 1136.76039Bass, Alexander; Putterman, Seth; Merriman, Barry; Ruuth, Steven J. 1 2008 IMEX extensions of linear multistep methods with general monotonicity and boundedness properties. Zbl 1123.65068Hundsdorfer, Willem; Ruuth, Steven J. 87 2007 Diffusion generated motion of curves on surfaces. Zbl 1123.65011Merriman, Barry; Ruuth, Steven J. 13 2007 Global optimization of explicit strong-stability-preserving Runge-Kutta methods. Zbl 1080.65088Ruuth, Steven J. 53 2006 On monotonicity and boundedness properties of linear multistep methods. Zbl 1092.65059Hundsdorfer, Willem; Ruuth, Steven J. 25 2006 Optimal strong-stability-preserving time-stepping schemes with fast downwind spatial discretizations. Zbl 1115.65092Gottlieb, Sigal; Ruuth, Steven J. 19 2006 A fifth-order flux-implicit WENO method. Zbl 1107.76051Gottlieb, Sigal; Mullen, Julia S.; Ruuth, Steven J. 15 2006 High-order linear multistep methods with general monotonicity and boundedness properties. Zbl 1074.65085Ruuth, Steven J.; Hundsdorfer, Willem 40 2005 High-order strong-stability-preserving Runge-Kutta methods with downwind-biased spatial discretizations. Zbl 1089.65069Ruuth, Steven J.; Spiteri, Raymond J. 26 2004 Monotonicity-preserving linear multistep methods. Zbl 1050.65070Hundsdorfer, Willem; Ruuth, Steven J.; Spiteri, Raymond J. 50 2003 Non-linear evolution using optimal fourth-order strong-stability-preserving Runge-Kutta methods. Zbl 1015.65031Spiteri, Raymond J.; Ruuth, Steven J. 35 2003 A simple scheme for volume-preserving motion by mean curvature. Zbl 1035.65097Ruuth, Steven J.; Wetton, Brian T. R. 26 2003 A new class of optimal high-order strong-stability-preserving time discretization methods. Zbl 1020.65064Spiteri, Raymond J.; Ruuth, Steven J. 234 2002 Two barriers on strong-stability-preserving time discretization methods. Zbl 1003.65107Ruuth, Steven J.; Spiteri, Raymond J. 35 2002 Diffusion-generated motion by mean curvature for filaments. Zbl 1037.35033Ruuth, S. J.; Merriman, B.; Xin, J.; Osher, S. 18 2001 Convolution-thresholding methods for interface motion. Zbl 0988.65094Ruuth, Steven J.; Merriman, Barry 11 2001 Convolution-generated motion and generalized Huygens’ principles for interface motion. Zbl 0958.65021Ruuth, Steven J.; Merriman, Barry 18 2000 A fixed grid method for capturing the motion of self-intersecting wavefronts and related PDEs. Zbl 0963.65097Ruuth, Steven J.; Merriman, Barry; Osher, Stanley 17 2000 Convolution-generated motion as a link between cellular automata and continuum pattern dynamics. Zbl 0938.68058Ruuth, Steven J.; Merriman, Barry; Osher, Stanley 8 1999 Efficient algorithms for diffusion-generated motion by mean curvature. Zbl 0946.65093Ruuth, Steven J. 43 1998 A diffusion-generated approach to multiphase motion. Zbl 0929.76101Ruuth, Steven J. 30 1998 Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations. Zbl 0896.65061Ascher, Uri M.; Ruuth, Steven J.; Spiteri, Raymond J. 388 1997 An algorithm for generating motion by mean curvature. Zbl 0854.65085Ruuth, Steven J. 4 1996 Implicit-explicit methods for time-dependent partial differential equations. Zbl 0841.65081Ascher, Uri M.; Ruuth, Steven J.; Wetton, Brian T. R. 395 1995 Implicit-explicit methods for reaction-diffusion problems in pattern formation. Zbl 0835.92006Ruuth, Steven J. 101 1995 all cited Publications top 5 cited Publications all top 5 Cited by 1,951 Authors 30 Ruuth, Steven J. 19 Shu, Chi-Wang 17 Hundsdorfer, Willem H. 16 Liang, Chunlei 16 Pareschi, Lorenzo 16 Sandu, Adrian 16 Ward, Michael J. 15 Ketcheson, David I. 15 Tsai, Yen-Hsi Richard 14 Jackiewicz, Zdzislaw 13 Higueras, Inmaculada 13 Kim, Junseok 12 Esedoglu, Selim 12 Gottlieb, Sigal 12 Ling, Leevan 12 Madzvamuse, Anotida 12 Russo, Giovanni 11 Balsara, Dinshaw S. 11 Boscheri, Walter 11 Ceniceros, Hector D. 11 Dimarco, Giacomo 11 Drikakis, Dimitris 11 Mulet, Pep 11 Schütz, Jochen 11 Spiteri, Raymond J. 10 Boscarino, Sebastiano 10 Lee, Hyun Geun 10 Minion, Michael L. 9 Izzo, Giuseppe 9 Osting, Braxton 9 Shankar, Varun 8 Bürger, Raimund 8 Dehghan Takht Fooladi, Mehdi 8 Giraldo, Francis X. 8 Grant, Zachary J. 8 Khaliq, Abdul Q. M. 8 Kropinski, Mary Catherine A. 8 Mittal, Ramesh Chand 8 Qiu, Jingmei 8 Wei, Juncheng 8 Yang, Junxiang 8 Zhang, Qiang 7 Abdi, Ali 7 Biros, George 7 Feng, Xinlong 7 Jameson, Antony 7 Kim, Chongam 7 Kubatko, Ethan J. 7 Kurganov, Alexander 7 Macdonald, Colin B. 7 Osher, Stanley Joel 7 Spijker, Marc N. 7 Wang, Haijin 7 Wang, Zhijian 7 Xiong, Tao 7 Youngs, David L. 7 Zhang, Hong 7 Zhang, Yongtao 6 Abedian, Rooholah 6 Alauzet, Frédéric 6 Ambrose, David M. 6 Cheng, Li-Tien 6 Chertock, Alina E. 6 Dawson, Clint N. 6 Hou, Thomas Yizhao 6 Jeong, Darae 6 Kadioglu, Samet Y. 6 Kaiser, Klaus Hermann 6 Layton, William J. 6 Leung, Shingyu 6 Li, Yibao 6 Lóczi, Lajos 6 Merriman, Barry 6 Owolabi, Kolade Matthew 6 Puppo, Gabriella 6 Quaife, Bryan D. 6 Roldán, Teo 6 Seal, David C. 6 Shadid, John N. 6 Shin, Jaemin 6 Tzou, Justin C. 6 Wright, Grady B. 6 Xiao, Aiguo 5 Bernard, Florian 5 Bonaventura, Luca 5 Cardone, Angelamaria 5 Carpenter, Mark H. 5 Constantinescu, Emil M. 5 Donat, Rosa 5 Garain, Sudip K. 5 Iollo, Angelo 5 Klar, Axel 5 Koch, Othmar 5 Lee, June-Yub 5 Li, Fengyan 5 Lukáčová-Medvid’ová, Mária 5 Moradi, Afsaneh 5 Nigro, Alessandra 5 Noelle, Sebastian 5 Rahimian, Abtin ...and 1,851 more Authors all top 5 Cited in 169 Serials 312 Journal of Computational Physics 129 Journal of Scientific Computing 81 Applied Numerical Mathematics 59 Journal of Computational and Applied Mathematics 53 Computers and Fluids 39 Applied Mathematics and Computation 39 SIAM Journal on Scientific Computing 37 Computers & Mathematics with Applications 32 Computer Methods in Applied Mechanics and Engineering 30 Mathematics of Computation 22 SIAM Journal on Numerical Analysis 14 Journal of Fluid Mechanics 14 Numerische Mathematik 14 Communications in Computational Physics 12 International Journal of Computer Mathematics 11 Advances in Computational Mathematics 10 Mathematics and Computers in Simulation 10 Numerical Algorithms 8 Physica D 8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 8 Applied Mathematical Modelling 8 Communications in Nonlinear Science and Numerical Simulation 8 Discrete and Continuous Dynamical Systems. Series B 8 SIAM Journal on Applied Dynamical Systems 7 International Journal for Numerical Methods in Engineering 7 Numerical Methods for Partial Differential Equations 7 Multiscale Modeling & Simulation 7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 6 Mathematical Methods in the Applied Sciences 6 BIT 6 Applied Mathematics Letters 6 European Journal of Applied Mathematics 6 Computational and Applied Mathematics 6 International Journal of Computational Fluid Dynamics 6 Communications on Applied Mathematics and Computation 5 Journal of Mathematical Analysis and Applications 5 Journal of Mathematical Biology 5 Bulletin of Mathematical Biology 5 SIAM Journal on Applied Mathematics 5 Journal of Mathematical Imaging and Vision 5 Journal of Nonlinear Science 5 European Journal of Mechanics. B. Fluids 5 Computational Geosciences 5 Mathematical Modelling and Analysis 5 International Journal of Computational Methods 5 International Journal of Applied and Computational Mathematics 4 Computer Physics Communications 4 International Journal for Numerical Methods in Fluids 4 Physics of Fluids 4 Engineering Analysis with Boundary Elements 4 Matematicheskoe Modelirovanie 4 SIAM Journal on Imaging Sciences 4 Discrete and Continuous Dynamical Systems. Series S 4 Research in the Mathematical Sciences 3 Wave Motion 3 Quarterly of Applied Mathematics 3 Computational Mathematics and Mathematical Physics 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Discrete and Continuous Dynamical Systems 3 Computing and Visualization in Science 3 Chaos 3 International Journal of Nonlinear Sciences and Numerical Simulation 3 Journal of Turbulence 3 Computational Methods in Applied Mathematics 3 Communications on Pure and Applied Analysis 3 International Journal of Numerical Analysis and Modeling 3 Mathematical Biosciences and Engineering 3 Inverse Problems and Imaging 3 Advances in Applied Mathematics and Mechanics 2 Journal of Engineering Mathematics 2 Journal of the Mechanics and Physics of Solids 2 Nonlinearity 2 Chaos, Solitons and Fractals 2 Calcolo 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Bulletin of the Iranian Mathematical Society 2 Japan Journal of Industrial and Applied Mathematics 2 European Journal of Operational Research 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Proceedings of the National Academy of Sciences of the United States of America 2 Calculus of Variations and Partial Differential Equations 2 Applied and Computational Harmonic Analysis 2 International Journal of Computer Vision 2 Mathematical Problems in Engineering 2 Combustion Theory and Modelling 2 The ANZIAM Journal 2 Milan Journal of Mathematics 2 Acta Numerica 2 Communications in Applied Mathematics and Computational Science 2 Kinetic and Related Models 2 International Journal of Differential Equations 2 Science China. Mathematics 2 Journal of the Korean Society for Industrial and Applied Mathematics 2 Communications in Applied and Industrial Mathematics 2 Mathematical Sciences 2 Journal of Computational Dynamics 2 East Asian Journal on Applied Mathematics 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 SMAI Journal of Computational Mathematics 1 Applicable Analysis ...and 69 more Serials all top 5 Cited in 40 Fields 1,000 Numerical analysis (65-XX) 559 Partial differential equations (35-XX) 495 Fluid mechanics (76-XX) 109 Biology and other natural sciences (92-XX) 73 Ordinary differential equations (34-XX) 52 Statistical mechanics, structure of matter (82-XX) 49 Mechanics of deformable solids (74-XX) 44 Geophysics (86-XX) 34 Calculus of variations and optimal control; optimization (49-XX) 29 Computer science (68-XX) 29 Optics, electromagnetic theory (78-XX) 25 Global analysis, analysis on manifolds (58-XX) 24 Classical thermodynamics, heat transfer (80-XX) 21 Differential geometry (53-XX) 18 Dynamical systems and ergodic theory (37-XX) 18 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 14 Approximations and expansions (41-XX) 14 Information and communication theory, circuits (94-XX) 13 Integral equations (45-XX) 10 Probability theory and stochastic processes (60-XX) 10 Operations research, mathematical programming (90-XX) 8 Systems theory; control (93-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 6 Real functions (26-XX) 6 Statistics (62-XX) 5 Astronomy and astrophysics (85-XX) 4 Mechanics of particles and systems (70-XX) 3 Combinatorics (05-XX) 3 Potential theory (31-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Quantum theory (81-XX) 2 Difference and functional equations (39-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year