Edit Profile (opens in new tab) Monaghan, Joseph J. Compute Distance To: Compute Author ID: monaghan.joseph-j Published as: Monaghan, J. J.; Monaghan, Joseph J.; Monaghan, Joe J.; Monaghan, Joe; Monaghan, J. Documents Indexed: 62 Publications since 1964 Co-Authors: 32 Co-Authors with 38 Joint Publications 325 Co-Co-Authors all top 5 Co-Authors 22 single-authored 5 Kajtar, J. B. 4 Gingold, R. A. 4 Huppert, Herbert E. 4 Valizadeh, Alireza 2 Kos, A. M. 2 Lattanzio, J. C. 2 Mansour, John 2 Mériaux, Catherine A. 2 Pongracic, H. 1 Antuono, Matteo 1 Cally, Paul S. 1 Cas, R. A. F. 1 Cleary, Paul W. 1 Colagrossi, Andrea 1 Gray, Joshua P. 1 Hallworth, Mark A. 1 Humble, R. J. 1 Kwon, Jihoe 1 le Touzé, David 1 Mériaux, Catherine 1 Monaghan, J. M. 1 Morris, Joseph P. 1 Nash, P. E. 1 Pan, Wenxiao 1 Pattle, R. E. 1 Phillips, G. J. 1 Rafiee, Ashkan 1 Robinson, Martin 1 Swift, R. P. 1 Tartakovsky, Alexandre M. 1 Worster, M. Grae 1 Yan, Rui all top 5 Serials 19 Journal of Computational Physics 11 European Journal of Mechanics. B. Fluids 5 Monthly Notices of the Royal Astronomical Society 3 Computer Physics Communications 3 International Journal for Numerical Methods in Fluids 3 Journal of Fluid Mechanics 2 SIAM Journal on Scientific and Statistical Computing 2 Physics of Fluids 1 Astronomy and Astrophysics 1 Computers and Fluids 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Mathematical Physics 1 Quarterly Journal of Mechanics and Applied Mathematics 1 Physica D 1 Applied Numerical Mathematics 1 Journal of Turbulence all top 5 Fields 57 Fluid mechanics (76-XX) 7 Astronomy and astrophysics (85-XX) 6 Numerical analysis (65-XX) 4 Geophysics (86-XX) 3 Mechanics of particles and systems (70-XX) 2 Mechanics of deformable solids (74-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Approximations and expansions (41-XX) 1 Probability theory and stochastic processes (60-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 51 Publications have been cited 3,093 times in 1,531 Documents Cited by ▼ Year ▼ Smoothed particle hydrodynamics: theory and application to non-spherical stars. Zbl 0421.76032Gingold, R. A.; Monaghan, J. J. 871 1977 Simulating free surface flows with SPH. Zbl 0794.76073Monaghan, J. J. 453 1994 An introduction to SPH. Zbl 0673.76089Monaghan, J. J. 223 1988 SPH without a tensile stability. Zbl 0980.76065Monaghan, J. J. 140 2000 Shock simulation by the particle method SPH. Zbl 0572.76059Monaghan, J. J.; Gingold, R. A. 139 1983 Smoothed particle hydrodynamics and its diverse applications. Zbl 1361.76019Monaghan, J. J. 130 2012 Theory and applications of smoothed particle hydrodynamics. Zbl 1160.76399Monaghan, Joseph J. 114 2005 On the problem of penetration in particle methods. Zbl 0665.76124Monaghan, J. J. 107 1989 A refined particle method for astrophysical problems. Zbl 0622.76054Monaghan, J. J.; Lattanzio, J. C. 104 1985 SPH elastic dynamics. Zbl 1021.74050Gray, J. P.; Monaghan, J. J.; Swift, R. P. 89 2001 Conduction modelling using smoothed particle hydrodynamics. Zbl 0930.76069Cleary, Paul W.; Monaghan, Joseph J. 85 1999 Why particle methods work. Zbl 0498.76010Monaghan, J. J. 74 1982 SHP simulation of multi-phase flow. Zbl 0923.76195Monaghan, J. J.; Kocharyan, A. 70 1995 Kernel estimates as a basis for general particle methods in hydrodynamics. Zbl 0487.76010Gingold, R. A.; Monaghan, J. J. 64 1982 SPH particle boundary forces for arbitrary boundaries. Zbl 1197.76104Monaghan, J. J.; Kajtar, J. B. 63 2009 Extrapolating B splines for interpolation. Zbl 0588.41005Monaghan, J. J. 62 1985 SPH and Riemann solvers. Zbl 0893.76069Monaghan, J. J. 45 1997 A switch to reduce SPH viscosity. Zbl 0889.76065Morris, J. P.; Monaghan, J. J. 23 1997 A simple SPH algorithm for multi-fluid flow with high density ratios. Zbl 1430.76400Monaghan, J. J.; Rafiee, Ashkan 22 2013 Gravity currents descending a ramp in a stratified tank. Zbl 0938.76506Monaghan, J. J.; Cas, R. A. F.; Kos, A. M.; Hallworth, M. 19 1999 SPH simulations of swimming linked bodies. Zbl 1196.76026Kajtar, J.; Monaghan, J. J. 18 2008 Implicit SPH drag and dusty gas dynamics. Zbl 0947.76066Monaghan, J. J. 16 1997 A turbulence model for smoothed particle hydrodynamics. Zbl 1258.76124Monaghan, J. J. 14 2011 Scott Russell’s wave generator. Zbl 1149.76485Monaghan, J. J.; Kos, A. 14 2000 A study of solid wall models for weakly compressible SPH. Zbl 1349.76743Valizadeh, Alireza; Monaghan, Joseph J. 13 2015 Artificial viscosity for particle methods. Zbl 0607.76069Monaghan, J. J.; Pongracic, H. 12 1985 SPH simulation of 2D turbulence driven by a cylindrical stirrer. Zbl 1408.76284Valizadeh, Alireza; Monaghan, Joe 9 2015 Solidification using smoothed particle hydrodynamics. Zbl 1121.76373Monaghan, Joseph J.; Huppert, Herbert E.; Worster, M. Grae 9 2005 Smoothed particle hydrodynamics non-Newtonian model for ice-sheet and ice-shelf dynamics. Zbl 1426.76611Pan, W.; Tartakovsky, A. M.; Monaghan, J. J. 8 2013 Ultrarelativistic SPH. Zbl 0887.76046Chow, E.; Monaghan, J. J. 8 1997 Gravity currents and solitary waves. Zbl 0899.76099Monaghan, J. J. 8 1996 Direct numerical simulation of decaying two-dimensional turbulence in a no-slip square box using smoothed particle hydrodynamics. Zbl 1253.76049Robinson, Martin; Monaghan, Joseph J. 7 2012 Gravity current interaction with interfaces. Zbl 1296.76013Monaghan, J. J. 6 2007 On the dynamics of swimming linked bodies. Zbl 1196.76030Kajtar, J. B.; Monaghan, J. J. 6 2010 SPH-\(\epsilon\) simulation of 2D turbulence driven by a moving cylinder. Zbl 1408.76322Monaghan, J. J. 5 2017 On the swimming of fish like bodies near free and fixed boundaries. Zbl 1258.76222Kajtar, J. B.; Monaghan, J. J. 5 2012 A numerical method for three-dimensional simulations of collapsing, isothermal, magnetic gas clouds. Zbl 0572.76113Phillips, G. J.; Monaghan, J. J. 5 1985 Controlling penetration. Zbl 0624.76084Lattanzio, J. C.; Monaghan, J. J.; Pongracic, H.; Schwarz, M. P. 5 1986 Particulate gravity currents along V-shaped valleys. Zbl 1181.76009Monaghan, Joe J.; Mériaux, Catherine; Huppert, Herbert E.; Mansour, John 4 2009 A novel SPH method for sedimentation in a turbulent fluid. Zbl 1349.76702Kwon, Jihoe; Monaghan, J. J. 4 2015 High Reynolds number gravity currents along V-shaped valleys. Zbl 1176.76005Monaghan, J. J.; Mériaux, C. A.; Huppert, H. E.; Monaghan, J. M. 4 2009 A study of energy spectra calculated with disordered particles. Zbl 1390.76092Valizadeh, Alireza; Monaghan, J. J. 3 2015 An SPH study of driven turbulence near a free surface in a tank under gravity. Zbl 1408.76323Monaghan, J. J.; Mériaux, Catherine A. 2 2018 On the integration of the SPH equations for a dusty fluid with high drag. Zbl 1473.76069Monaghan, J. J. 2 2020 Smoothed particle hydrodynamics simulations of turbulence in fixed and rotating boxes in two dimensions with no-slip boundaries. Zbl 1410.76385Valizadeh, A.; Monaghan, J. J. 2 2012 Statistical mechanics and the gravothermal catastrophe. Zbl 0483.76091Cally, P.; Monaghan, J. J. 2 1981 SPH simulation of skipping stones. Zbl 1408.76057Yan, Rui; Monaghan, J. J. 1 2017 New developments in smoothed particle hydrodynamics. Zbl 1090.76568Monaghan, Joseph J. 1 2002 Fluctuating hydrodynamics and the thermodynamics of self-gravitating systems. Zbl 0395.76046Monaghan, J. J. 1 1978 Energy transfer in a particle \(\alpha\) model. Zbl 1083.76528Monaghan, J. J. 1 2004 On the integration of the SPH equations for a highly viscous fluid. Zbl 1452.76179Monaghan, J. J. 1 2019 On the integration of the SPH equations for a dusty fluid with high drag. Zbl 1473.76069Monaghan, J. J. 2 2020 On the integration of the SPH equations for a highly viscous fluid. Zbl 1452.76179Monaghan, J. J. 1 2019 An SPH study of driven turbulence near a free surface in a tank under gravity. Zbl 1408.76323Monaghan, J. J.; Mériaux, Catherine A. 2 2018 SPH-\(\epsilon\) simulation of 2D turbulence driven by a moving cylinder. Zbl 1408.76322Monaghan, J. J. 5 2017 SPH simulation of skipping stones. Zbl 1408.76057Yan, Rui; Monaghan, J. J. 1 2017 A study of solid wall models for weakly compressible SPH. Zbl 1349.76743Valizadeh, Alireza; Monaghan, Joseph J. 13 2015 SPH simulation of 2D turbulence driven by a cylindrical stirrer. Zbl 1408.76284Valizadeh, Alireza; Monaghan, Joe 9 2015 A novel SPH method for sedimentation in a turbulent fluid. Zbl 1349.76702Kwon, Jihoe; Monaghan, J. J. 4 2015 A study of energy spectra calculated with disordered particles. Zbl 1390.76092Valizadeh, Alireza; Monaghan, J. J. 3 2015 A simple SPH algorithm for multi-fluid flow with high density ratios. Zbl 1430.76400Monaghan, J. J.; Rafiee, Ashkan 22 2013 Smoothed particle hydrodynamics non-Newtonian model for ice-sheet and ice-shelf dynamics. Zbl 1426.76611Pan, W.; Tartakovsky, A. M.; Monaghan, J. J. 8 2013 Smoothed particle hydrodynamics and its diverse applications. Zbl 1361.76019Monaghan, J. J. 130 2012 Direct numerical simulation of decaying two-dimensional turbulence in a no-slip square box using smoothed particle hydrodynamics. Zbl 1253.76049Robinson, Martin; Monaghan, Joseph J. 7 2012 On the swimming of fish like bodies near free and fixed boundaries. Zbl 1258.76222Kajtar, J. B.; Monaghan, J. J. 5 2012 Smoothed particle hydrodynamics simulations of turbulence in fixed and rotating boxes in two dimensions with no-slip boundaries. Zbl 1410.76385Valizadeh, A.; Monaghan, J. J. 2 2012 A turbulence model for smoothed particle hydrodynamics. Zbl 1258.76124Monaghan, J. J. 14 2011 On the dynamics of swimming linked bodies. Zbl 1196.76030Kajtar, J. B.; Monaghan, J. J. 6 2010 SPH particle boundary forces for arbitrary boundaries. Zbl 1197.76104Monaghan, J. J.; Kajtar, J. B. 63 2009 Particulate gravity currents along V-shaped valleys. Zbl 1181.76009Monaghan, Joe J.; Mériaux, Catherine; Huppert, Herbert E.; Mansour, John 4 2009 High Reynolds number gravity currents along V-shaped valleys. Zbl 1176.76005Monaghan, J. J.; Mériaux, C. A.; Huppert, H. E.; Monaghan, J. M. 4 2009 SPH simulations of swimming linked bodies. Zbl 1196.76026Kajtar, J.; Monaghan, J. J. 18 2008 Gravity current interaction with interfaces. Zbl 1296.76013Monaghan, J. J. 6 2007 Theory and applications of smoothed particle hydrodynamics. Zbl 1160.76399Monaghan, Joseph J. 114 2005 Solidification using smoothed particle hydrodynamics. Zbl 1121.76373Monaghan, Joseph J.; Huppert, Herbert E.; Worster, M. Grae 9 2005 Energy transfer in a particle \(\alpha\) model. Zbl 1083.76528Monaghan, J. J. 1 2004 New developments in smoothed particle hydrodynamics. Zbl 1090.76568Monaghan, Joseph J. 1 2002 SPH elastic dynamics. Zbl 1021.74050Gray, J. P.; Monaghan, J. J.; Swift, R. P. 89 2001 SPH without a tensile stability. Zbl 0980.76065Monaghan, J. J. 140 2000 Scott Russell’s wave generator. Zbl 1149.76485Monaghan, J. J.; Kos, A. 14 2000 Conduction modelling using smoothed particle hydrodynamics. Zbl 0930.76069Cleary, Paul W.; Monaghan, Joseph J. 85 1999 Gravity currents descending a ramp in a stratified tank. Zbl 0938.76506Monaghan, J. J.; Cas, R. A. F.; Kos, A. M.; Hallworth, M. 19 1999 SPH and Riemann solvers. Zbl 0893.76069Monaghan, J. J. 45 1997 A switch to reduce SPH viscosity. Zbl 0889.76065Morris, J. P.; Monaghan, J. J. 23 1997 Implicit SPH drag and dusty gas dynamics. Zbl 0947.76066Monaghan, J. J. 16 1997 Ultrarelativistic SPH. Zbl 0887.76046Chow, E.; Monaghan, J. J. 8 1997 Gravity currents and solitary waves. Zbl 0899.76099Monaghan, J. J. 8 1996 SHP simulation of multi-phase flow. Zbl 0923.76195Monaghan, J. J.; Kocharyan, A. 70 1995 Simulating free surface flows with SPH. Zbl 0794.76073Monaghan, J. J. 453 1994 On the problem of penetration in particle methods. Zbl 0665.76124Monaghan, J. J. 107 1989 An introduction to SPH. Zbl 0673.76089Monaghan, J. J. 223 1988 Controlling penetration. Zbl 0624.76084Lattanzio, J. C.; Monaghan, J. J.; Pongracic, H.; Schwarz, M. P. 5 1986 A refined particle method for astrophysical problems. Zbl 0622.76054Monaghan, J. J.; Lattanzio, J. C. 104 1985 Extrapolating B splines for interpolation. Zbl 0588.41005Monaghan, J. J. 62 1985 Artificial viscosity for particle methods. Zbl 0607.76069Monaghan, J. J.; Pongracic, H. 12 1985 A numerical method for three-dimensional simulations of collapsing, isothermal, magnetic gas clouds. Zbl 0572.76113Phillips, G. J.; Monaghan, J. J. 5 1985 Shock simulation by the particle method SPH. Zbl 0572.76059Monaghan, J. J.; Gingold, R. A. 139 1983 Why particle methods work. Zbl 0498.76010Monaghan, J. J. 74 1982 Kernel estimates as a basis for general particle methods in hydrodynamics. Zbl 0487.76010Gingold, R. A.; Monaghan, J. J. 64 1982 Statistical mechanics and the gravothermal catastrophe. Zbl 0483.76091Cally, P.; Monaghan, J. J. 2 1981 Fluctuating hydrodynamics and the thermodynamics of self-gravitating systems. Zbl 0395.76046Monaghan, J. J. 1 1978 Smoothed particle hydrodynamics: theory and application to non-spherical stars. Zbl 0421.76032Gingold, R. A.; Monaghan, J. J. 871 1977 all cited Publications top 5 cited Publications all top 5 Cited by 2,543 Authors 40 Liu, Gui-Rong 25 Monaghan, Joseph J. 24 Belytschko, Ted Bohdan 23 Liew, Kim Meow 19 Liu, Moubin 19 Liu, Wing Kam 17 Zhang, Aman 16 Ming, Furen 16 Zhang, Lu-Wen 15 Belinha, Jorge 15 Cleary, Paul W. 14 Adams, Nikolaus A. 14 Bonet, Javier 14 Colagrossi, Andrea 14 Idelsohn, Sergio Rodolfo 14 Marrone, Salvatore 14 Oñate Ibáñez de Navarra, Eugenio 14 Rogers, Benedict D. 13 Dumbser, Michael 13 Koshizuka, Seiichi 13 Quinlan, Nathan J. 13 Rabczuk, Timon 13 Stansby, Peter K. 12 Francomano, Elisa 12 Gotoh, Hitoshi 12 Khayyer, Abbas 12 Tartakovsky, Alexandre M. 11 Afshar, Mohammad Hadi 11 Natal Jorge, Renato Manuel 11 Negrut, Dan 10 Koumoutsakos, Petros D. 10 le Touzé, David 10 Ouyang, Jie 10 Shadloo, Mostafa Safdari 10 Violeau, Damien 10 Zhang, Chi 9 Chen, Jiun-Shyan 9 Cheng, Rongjun 9 Dinis, Lúcia M. J. S. 9 Gu, Yuantong 9 Li, Shaofan 9 Oger, Guillaume 9 Ren, Jinlian 9 Sun, Pengnan 9 Vacondio, Renato 8 Antuono, Matteo 8 Chatelain, Philippe 8 Kulasegaram, Sivakumar 8 Shakibaeinia, Ahmad 8 Walther, Jens Honoré 7 Asai, Mitsuteru 7 Duan, Guangtao 7 Hu, Xiangyu 7 Jin, Yee-Chung 7 Lam, Khin-Yong 7 Li, Hua 7 Lind, Steven J. 7 Meakin, Paul 7 Salehi, Rezvan 7 Wriggers, Peter 7 Zhang, Shuai 6 Ala, Guido 6 Aly, Abdelraheem Mahmoud 6 Dehghan Takht Fooladi, Mehdi 6 Domínguez, José M. 6 Fatehi, Rouhollah 6 Hu, Wei 6 Jun, Sukky 6 Li, Guangyao 6 Nieken, Ulrich 6 Pan, Wenxiao 6 Pazouki, Arman 6 Rakhsha, Milad 6 Rezavand, Massoud 6 Shimizu, Yuma 6 Tiwari, Sudarshan 6 Tofighi, Nima 6 Tortorici, Adele 6 Toscano, Elena 6 Wang, Pingping 6 Xiao, Shaoping 6 Xu, Xiaoyang 6 Zhang, Xiong 6 Zong, Zhi 5 Basa, Mihai 5 Børve, Steinar 5 Chen, Shenshen 5 Colominas, Ignasi 5 Combescure, Alain 5 Dai, Kaiyu 5 Di G. Sigalotti, Leonardo 5 Djidjeli, K. 5 Ellero, Marco 5 Gimenez, Juan M. 5 Han, Xu 5 Heydari, Mohammad Hossien 5 Hu, Dean 5 Kajtar, J. B. 5 Klar, Axel 5 Krongauz, Yury ...and 2,443 more Authors all top 5 Cited in 149 Serials 226 Journal of Computational Physics 188 Computer Methods in Applied Mechanics and Engineering 152 Engineering Analysis with Boundary Elements 114 Computers and Fluids 100 International Journal for Numerical Methods in Engineering 69 International Journal of Computational Methods 57 Computational Mechanics 57 Applied Mathematical Modelling 49 International Journal for Numerical Methods in Fluids 32 Computers & Mathematics with Applications 32 Applied Mathematics and Computation 31 European Journal of Mechanics. B. Fluids 29 Mathematical Problems in Engineering 24 Journal of Fluid Mechanics 20 Computer Physics Communications 16 International Journal of Computational Fluid Dynamics 13 Journal of Computational and Applied Mathematics 11 Applied Numerical Mathematics 9 International Journal of Numerical Methods for Heat & Fluid Flow 9 Acta Mechanica Sinica 8 Archives of Computational Methods in Engineering 7 Acta Mechanica 7 SIAM Journal on Scientific Computing 7 Communications in Numerical Methods in Engineering 6 International Journal for Numerical and Analytical Methods in Geomechanics 6 Journal of Engineering Mathematics 6 Mathematics and Computers in Simulation 6 Journal of Scientific Computing 6 European Journal of Mechanics. A. Solids 6 Computational Geosciences 6 Engineering Computations 5 International Journal of Heat and Mass Transfer 5 Shock Waves 5 Meccanica 5 Applied Mathematics and Mechanics. (English Edition) 5 Numerical Algorithms 5 Physics of Fluids 4 Numerische Mathematik 4 Japan Journal of Industrial and Applied Mathematics 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 Communications in Computational Physics 3 Astrophysics and Space Science 3 Journal of the Mechanics and Physics of Solids 3 Wave Motion 3 Numerical Methods for Partial Differential Equations 3 SIAM Journal on Mathematical Analysis 3 Computational and Applied Mathematics 3 Advances in Computational Mathematics 3 Journal of Applied Mechanics and Technical Physics 3 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 3 Living Reviews in Relativity 3 Journal of Applied Mathematics 3 Sādhanā 3 Multiscale Modeling & Simulation 3 Structural and Multidisciplinary Optimization 3 Journal of Shanghai Jiaotong University (Science) 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Astronomische Nachrichten 2 International Journal of Solids and Structures 2 Journal of Statistical Physics 2 Physica A 2 Physics Reports 2 Mathematics of Computation 2 Bulletin of Mathematical Biology 2 Applied Mathematics Letters 2 Journal of Non-Newtonian Fluid Mechanics 2 Archive of Applied Mechanics 2 Multibody System Dynamics 2 International Journal of Modern Physics C 2 Journal of Cosmology and Astroparticle Physics 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 International Journal for Computational Methods in Engineering Science and Mechanics 2 Science China. Technological Sciences 2 International Journal for Numerical Methods in Biomedical Engineering 2 Symmetry 2 AMM. Applied Mathematics and Mechanics. (English Edition) 1 International Journal of Modern Physics B 1 Artificial Intelligence 1 Archive for Rational Mechanics and Analysis 1 Classical and Quantum Gravity 1 Communications on Pure and Applied Mathematics 1 Fluid Dynamics 1 International Journal of Engineering Science 1 Mathematical Methods in the Applied Sciences 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Chaos, Solitons and Fractals 1 BIT 1 Calcolo 1 Computing 1 Journal of Optimization Theory and Applications 1 Mechanics Research Communications 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 SIAM Journal on Numerical Analysis 1 Acta Applicandae Mathematicae 1 Mitteilungen der Gesellschaft für Angewandte Mathematik und Mechanik 1 Computer Aided Geometric Design 1 Physica D 1 Acta Mathematicae Applicatae Sinica. English Series ...and 49 more Serials all top 5 Cited in 35 Fields 996 Fluid mechanics (76-XX) 658 Numerical analysis (65-XX) 516 Mechanics of deformable solids (74-XX) 127 Partial differential equations (35-XX) 50 Classical thermodynamics, heat transfer (80-XX) 50 Geophysics (86-XX) 37 Biology and other natural sciences (92-XX) 35 Statistical mechanics, structure of matter (82-XX) 19 Optics, electromagnetic theory (78-XX) 19 Astronomy and astrophysics (85-XX) 15 Computer science (68-XX) 15 Mechanics of particles and systems (70-XX) 11 Approximations and expansions (41-XX) 10 Relativity and gravitational theory (83-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 Probability theory and stochastic processes (60-XX) 6 Statistics (62-XX) 5 Real functions (26-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Operations research, mathematical programming (90-XX) 4 Integral equations (45-XX) 3 Ordinary differential equations (34-XX) 3 Operator theory (47-XX) 3 Systems theory; control (93-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Quantum theory (81-XX) 2 Information and communication theory, circuits (94-XX) 1 Combinatorics (05-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year