Edit Profile (opens in new tab) Kloeden, Peter Eris Co-Author Distance Author ID: kloeden.peter-eris Published as: Kloeden, Peter E.; Kloeden, P. E.; Kloeden, Peter; Kloeden, P.; Kloeden, Peter Eris; Kloeden, Peter. E.; Cloeden, P. more...less Homepage: http://www.math.uni-frankfurt.de/~kloeden/ External Links: MGP Documents Indexed: 401 Publications since 1974, including 13 Books and 3 Additional arXiv Preprints 13 Contributions as Editor Biographic References: 2 Publications Co-Authors: 175 Co-Authors with 370 Joint Publications 6,049 Co-Co-Authors all top 5 Co-Authors 43 single-authored 46 Diamond, Phil 34 Pokrovskiĭ, Alexeĭ Vadimovich 30 Caraballo Garrido, Tomás 26 Han, Xiaoying 22 Kozyakin, Viktor Sergeevich 17 Yang, Meihua 16 Jentzen, Arnulf 15 Wang, Yejuan 14 Lorenz, Thomas 13 Platen, Eckhard 12 Schmalfuß, Björn 11 Real Anguas, José 10 Marín-Rubio, Pedro 10 Neuenkirch, Andreas 8 Cui, Hongyong 8 Pötzsche, Christian 8 Wu, Fuke 7 Asai, Yusuke 7 Grüne, Lars 7 Li, Desheng 7 Valero, José 6 Simsen, Jacson 5 Anh, Vo V. 5 Bennett, Andrew F. 5 Duan, Jinqiao 5 Pavani, Raffaella 5 Rasmussen, Martin 5 Vladimirov, Aleksandr Aleksandrovich 4 Cheban, David Nikolai 4 Doan, Thai Son 4 Higham, Desmond J. 4 Hilger, Stefan 4 Johnson, Russell Allan 4 Kleptsyna, Marina L. 4 Krasnosel’skiĭ, Aleksandr Markovich 4 Krasnosel’skiĭ, Mark Aleksandrovich 4 Rubinov, Aleksandr Moiseevich 4 Schropp, Johannes 4 Schurz, Henri 4 Siegmund, Stefan 4 Wang, Xiaoli 4 Yang, Hao 3 Al-Nayef, Anwar A. 3 Becker, Sebastian 3 Chueshov, Igor’ Dmitrievich 3 Colonius, Fritz 3 Crauel, Hans 3 Halidias, Nikolaos 3 Huong, Phan Thi 3 Hutzenthaler, Martin 3 Langa, Jose’ Antonio 3 Lorenz, Jens 3 Mao, Xuerong 3 Ombach, Jerzy 3 Peng, Ling 3 Pinelas, Sandra 3 Shardlow, Tony 3 Sun, Wenlong 3 Yang, Lin 2 Amigó, José María 2 Anguiano, María 2 Arnold, Ludwig 2 Balibrea, Francisco 2 Cyganowski, Sasha 2 Fabbri, Roberta 2 Gao, Fengshuang 2 Garay, Barnabas M. 2 Gess, Benjamin 2 Gil’, Michael Iosif 2 Giménez, Angel 2 Graef, John R. 2 Huynh, Huy 2 Li, Zhong 2 Liu, Jicheng 2 Liu, Linfang 2 Liu, Xianming 2 Mustard, J. F. 2 Schoenmakers, John G. M. 2 Sonner, Stefanie 2 Sui, Meiyu 2 Sun, Chunyou 2 Villarragut, Víctor M. 2 Vladimirov, Igor G. 2 Yang, Lu 2 Zhong, Chengkui 1 Albeverio, Sergio A. 1 Bobylev, Nikolaĭ Antonovich 1 Bondarenko, V. A. 1 Buckwar, Evelyn 1 Cao, Yanzhao 1 Ciepliński, Krzysztof 1 Collings, I. L. 1 Dajmond, F. 1 Došlá, Zuzana 1 Došlý, Ondřej 1 Dr. Son, Doan Thai 1 Duc, Luu Hoang 1 Dutton, John A. 1 Dzalilov, Zari A. 1 Fisher, Michael E. ...and 75 more Co-Authors all top 5 Serials 17 Journal of Differential Equations 17 Discrete and Continuous Dynamical Systems. Series B 14 Stochastics and Dynamics 13 Bulletin of the Australian Mathematical Society 13 Journal of Difference Equations and Applications 12 Discrete and Continuous Dynamical Systems 11 Fuzzy Sets and Systems 11 Stochastic Analysis and Applications 11 Communications on Pure and Applied Analysis 9 Journal of Dynamics and Differential Equations 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Journal of the Australian Mathematical Society, Series B 7 Journal of Mathematical Analysis and Applications 7 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 6 Journal of Computational and Applied Mathematics 6 Journal of Applied Mathematics and Stochastic Analysis 6 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 5 BIT 5 Mathematische Nachrichten 5 Automation and Remote Control 5 Set-Valued Analysis 5 Electronic Journal of Differential Equations (EJDE) 4 Numerische Mathematik 4 SIAM Journal on Numerical Analysis 4 Nonlinear Analysis. Real World Applications 4 Discrete and Continuous Dynamical Systems. Series S 3 Applied Mathematics and Optimization 3 Numerical Functional Analysis and Optimization 3 Physica D 3 The Annals of Applied Probability 3 Numerical Algorithms 3 Journal of the Australian Mathematical Society. Series A 3 SIAM Journal on Mathematical Analysis 3 Random & Computational Dynamics 3 Interdisciplinary Mathematical Sciences 3 Springer Proceedings in Mathematics & Statistics 3 Nonlinear Analysis. Theory, Methods & Applications 3 Electronic Research Archive 2 Computers & Mathematics with Applications 2 IMA Journal of Numerical Analysis 2 Journal of Statistical Physics 2 Mathematical Methods in the Applied Sciences 2 Problems of Information Transmission 2 Mathematics and Computers in Simulation 2 Mathematika 2 Proceedings of the American Mathematical Society 2 Systems & Control Letters 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Journal of Nonlinear Science 2 Arab Journal of Mathematical Sciences 2 Fractional Calculus & Applied Analysis 2 Revista Matemática Complutense 2 Advanced Nonlinear Studies 2 Analysis and Applications (Singapore) 2 Set-Valued and Variational Analysis 2 Journal of Computational Dynamics 2 Applications of Mathematics 2 Universitext 1 Geophysical and Astrophysical Fluid Dynamics 1 International Journal of Control 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Theoretical and Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Bulletin of Mathematical Biology 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Probability 1 Annales Polonici Mathematici 1 Applied Mathematics and Computation 1 Glasgow Mathematical Journal 1 Journal of Applied Probability 1 Journal of the Mathematical Society of Japan 1 Journal of Optimization Theory and Applications 1 Results in Mathematics 1 Theoretical Computer Science 1 Optimal Control Applications & Methods 1 Mitteilungen der Gesellschaft für Angewandte Mathematik und Mechanik 1 Mathematical and Computer Modelling 1 Asymptotic Analysis 1 Dynamics and Stability of Systems 1 Complex Systems 1 Stochastic Hydrology and Hydraulics 1 Annals of Operations Research 1 Applied Mathematical Modelling 1 European Journal of Operational Research 1 International Journal of Computer Mathematics 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 SIAM Journal on Scientific Computing 1 The Journal of Fuzzy Mathematics 1 Random Operators and Stochastic Equations 1 NoDEA. Nonlinear Differential Equations and Applications 1 Buletinul Academiei de Științe a Republicii Moldova. Matematica 1 Monte Carlo Methods and Applications 1 Dynamics of Continuous, Discrete and Impulsive Systems 1 Doklady Mathematics 1 Communications in Applied Analysis 1 Functional Differential Equations 1 Vietnam Journal of Mathematics ...and 33 more Serials all top 5 Fields 186 Dynamical systems and ergodic theory (37-XX) 143 Ordinary differential equations (34-XX) 119 Probability theory and stochastic processes (60-XX) 102 Numerical analysis (65-XX) 88 Partial differential equations (35-XX) 46 Systems theory; control (93-XX) 33 Biology and other natural sciences (92-XX) 29 Difference and functional equations (39-XX) 19 General topology (54-XX) 18 Fluid mechanics (76-XX) 17 Operator theory (47-XX) 12 General and overarching topics; collections (00-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Real functions (26-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Mathematical logic and foundations (03-XX) 7 Integral equations (45-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Computer science (68-XX) 7 Geophysics (86-XX) 5 Operations research, mathematical programming (90-XX) 4 History and biography (01-XX) 4 Approximations and expansions (41-XX) 3 Functional analysis (46-XX) 3 Convex and discrete geometry (52-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Information and communication theory, circuits (94-XX) 1 Number theory (11-XX) 1 Measure and integration (28-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 341 Publications have been cited 8,505 times in 5,397 Documents Cited by ▼ Year ▼ Numerical solution of stochastic differential equations. Zbl 0752.60043 Kloeden, Peter E.; Platen, Eckhard 1,037 1992 Higher-order implicit strong numerical schemes for stochastic differential equations. Zbl 0925.65261 Kloeden, P. E.; Platen, E. 666 1992 Metric spaces of fuzzy sets: theory and applications. Zbl 0873.54019 Diamond, Phil; Kloeden, Peter 276 1994 A survey of numerical methods for stochastic differential equations. Zbl 0701.60054 Kloeden, P. E.; Platen, E. 228 1989 Strong and weak divergence in finite time of Euler’s method for stochastic differential equations with non-globally Lipschitz continuous coefficients. Zbl 1228.65014 Hutzenthaler, Martin; Jentzen, Arnulf; Kloeden, Peter E. 223 2011 Nonautonomous dynamical systems. Zbl 1244.37001 Kloeden, Peter E.; Rasmussen, Martin 216 2011 Strong convergence of an explicit numerical method for SDEs with nonglobally Lipschitz continuous coefficients. Zbl 1256.65003 Hutzenthaler, Martin; Jentzen, Arnulf; Kloeden, Peter E. 200 2012 Numerical methods for stochastic differential equations. Zbl 0858.65148 Kloeden, P. E.; Platen, E. 185 1995 Flattening, squeezing and the existence of random attractors. Zbl 1133.37323 Kloeden, Peter E.; Langa, José A. 162 2007 Numerical solution of SDE through computer experiments. Including floppy disk. Zbl 0789.65100 Kloeden, Peter E.; Platen, Eckhard; Schurz, Henri 149 1994 Metric spaces of fuzzy sets. Zbl 0704.54006 Diamond, Phil; Kloeden, Peter 133 1990 Multivalued spatial discretization of dynamical systems. Zbl 0843.54041 Diamond, P.; Pokrovskij, A.; Kloeden, P. 132 1994 Numerical methods for nonlinear stochastic differential equations with jumps. Zbl 1186.65010 Higham, Desmond J.; Kloeden, Peter. E. 126 2005 Exponentially stable stationary solutions for stochastic evolution equations and their perturbation. Zbl 1066.60058 Caraballo, Tomás; Kloeden, Peter E.; Schmalfuß, Björn 121 2004 The relationship between pullback, forward and global attractors of nonautonomous dynamical systems. Zbl 1054.34087 Cheban, D. N.; Kloeden, P. E.; Schmalfuß, B. 93 2002 Nonautonomous systems, cocycle attractors and variable time-step discretization. Zbl 0886.65077 Kloeden, Peter E.; Schmalfuß, Björn 91 1997 Overcoming the order barrier in the numerical approximation of stochastic partial differential equations with additive space-time noise. Zbl 1186.65011 Jentzen, Arnulf; Kloeden, Peter E. 78 2009 Taylor approximations for stochastic partial differential equations. Zbl 1240.35001 Jentzen, Arnulf; Kloeden, Peter 72 2011 Convergence and stability of implicit methods for jump-diffusion systems. Zbl 1109.65007 Higham, Desmond J.; Kloeden, Peter E. 64 2006 Characterization of compact subsets of fuzzy sets. Zbl 0661.54011 Diamond, Phil; Kloeden, Peter 63 1989 Stable attracting sets in dynamical systems and in their one-step discretizations. Zbl 0613.65083 Kloeden, P. E.; Lorenz, J. 63 1986 Strong convergence rates for backward Euler on a class of nonlinear jump-diffusion problems. Zbl 1128.65007 Higham, Desmond J.; Kloeden, Peter E. 60 2007 The pathwise convergence of approximation schemes for stochastic differential equations. Zbl 1223.60051 Kloeden, P. E.; Neuenkirch, A. 59 2007 Asymptotic behaviour of nonautonomous difference inclusions. Zbl 0902.93043 Kloeden, Peter E.; Schmalfuss, Björn 59 1998 Recent developments in dynamical systems: three perspectives. Zbl 1202.37003 Balibrea, F.; Caraballo, T.; Kloeden, P. E.; Valero, J. 59 2010 The numerical approximation of stochastic partial differential equations. Zbl 1205.60130 Jentzen, A.; Kloeden, P. E. 58 2009 Mean-square random dynamical systems. Zbl 1267.37018 Kloeden, Peter E.; Lorenz, Thomas 57 2012 Numerical solution of stochastic differential equations. 4th corrected printing. Zbl 1216.60052 Kloeden, Peter E.; Platen, Eckhard 56 2010 Time-discretised Galerkin approximations of parabolic stochastic PDEs. Zbl 0880.35143 Grecksch, W.; Kloeden, P. E. 50 1996 Synchronization of a stochastic reaction-diffusion system on a thin two-layer domain. Zbl 1125.37058 Caraballo, Tomás; Chueshov, Igor D.; Kloeden, Peter E. 48 2007 Fuzzy dynamical systems. Zbl 0509.54040 Kloeden, P. E. 47 1982 Non-autonomous lattice systems with switching effects and delayed recovery. Zbl 1345.34128 Han, Xiaoying; Kloeden, Peter E. 45 2016 Pullback and forward attractors for a damped wave equation with delays. Zbl 1061.35153 Caraballo, T.; Kloeden, P. E.; Real, J. 44 2004 The approximation of multiple stochastic integrals. Zbl 0761.60048 Kloeden, P. E.; Platen, E.; Wright, I. W. 44 1992 Non-autonomous attractors for integro-differential evolution equations. Zbl 1185.45016 Caraballo, Tomás; Kloeden, P. E. 43 2009 Stratonovich and Itô stochastic Taylor expansions. Zbl 0731.60050 Kloeden, P. E.; Platen, E. 43 1991 Unique strong solutions and \(V\)-attractors of a three dimensional system of globally modified Navier-Stokes equations. Zbl 1220.35115 Caraballo, Tomás; Real, José; Kloeden, Peter E. 42 2006 Invariant measures and statistical solutions of the globally modified Navier-Stokes equations. Zbl 1187.35152 Caraballo, Tomás; Kloeden, Peter E.; Real, José 42 2008 Pullback attractors of nonautonomous semidynamical systems. Zbl 1029.37010 Kloeden, P. E. 41 2003 Pullback attractors for a semilinear heat equation in a non-cylindrical domain. Zbl 1146.35016 Kloeden, P. E.; Marín-Rubio, P.; Real, J. 39 2008 Equivalence of invariant measures and stationary statistical solutions for the autonomous globally modified Navier-Stokes equations. Zbl 1168.35412 Kloeden, P. E.; Marín-Rubio, Pedro; Real, José 39 2009 Pathwise approximation of stochastic differential equations on domains: Higher order convergence rates without global Lipschitz coefficients. Zbl 1163.65003 Jentzen, A.; Kloeden, P. E.; Neuenkirch, A. 39 2009 On Sharkovsky’s cycle coexistence ordering. Zbl 0465.58022 Kloeden, Peter E. 39 1979 Random ordinary differential equations and their numerical solution. Zbl 1392.60003 Han, Xiaoying; Kloeden, Peter E. 39 2017 Pullback attractors in nonautonomous difference equations. Zbl 0961.39007 Kloeden, Peter E. 38 2000 Random attractors of stochastic reaction-diffusion equations on variable domains. Zbl 1235.60076 Crauel, H.; Kloeden, P. E.; Yang, Meihua 38 2011 Pullback attractors for a semilinear heat equation on time-varying domains. Zbl 1173.37064 Kloeden, Peter E.; Real, José; Sun, Chunyou 37 2009 Remarks on Peano-like theorems for fuzzy differential equations. Zbl 0742.34058 Kloeden, P. E. 37 1991 Efficient simulation of nonlinear parabolic SPDEs with additive noise. Zbl 1223.60050 Jentzen, Arnulf; Kloeden, Peter; Winkel, Georg 36 2011 Compact supported endographs and fuzzy sets. Zbl 0441.54008 Kloeden, P. E. 36 1980 Asymptotically autonomous multivalued Cauchy problems with spatially variable exponents. Zbl 1349.35443 Kloeden, Peter E.; Simsen, Jacson; Stefanello Simsen, Mariza 36 2017 Random attractors for stochastic semi-linear degenerate parabolic equations. Zbl 1222.35042 Yang, Meihua; Kloeden, P. E. 35 2011 Taylor expansions of solutions of stochastic partial differential equations with additive noise. Zbl 1220.35202 Jentzen, Arnulf; Kloeden, Peter 35 2010 Attractors of asymptotically autonomous quasi-linear parabolic equation with spatially variable exponents. Zbl 1310.35203 Kloeden, Peter E.; Simsen, Jacson 35 2015 Divergence of the multilevel Monte Carlo Euler method for nonlinear stochastic differential equations. Zbl 1283.60098 Hutzenthaler, Martin; Jentzen, Arnulf; Kloeden, Peter E. 35 2013 Cocycle attractors in nonautonomously perturbed differential equations. Zbl 0905.34047 Kloeden, P. E.; Stonier, D. J. 34 1998 Construction of nonautonomous forward attractors. Zbl 1362.37045 Kloeden, Peter E.; Lorenz, Thomas 34 2016 Asymptotic behavior of a nonautonomous \(p\)-Laplacian lattice system. Zbl 1352.34014 Gu, Anhui; Kloeden, Peter E. 33 2016 Asymptotic behavior of stochastic lattice systems with a Caputo fractional time derivative. Zbl 1337.26021 Wang, Yejuan; Xu, Jiaohui; Kloeden, Peter E. 33 2016 Pathwise upper semi-continuity of random pullback attractors along the time axis. Zbl 1392.37042 Cui, Hongyong; Kloeden, Peter E.; Wu, Fuke 33 2018 Asymptotic behavior of solutions for random wave equations with nonlinear damping and white noise. Zbl 1202.35124 Yang, Meihua; Duan, Jinqiao; Kloeden, Peter 33 2011 Nonautonomous and random attractors. Zbl 1358.37041 Crauel, Hans; Kloeden, Peter E. 32 2015 Asymptotic separation between solutions of Caputo fractional stochastic differential equations. Zbl 1401.26009 Dr. Son, Doan Thai; Huong, Phan Thi; Kloeden, Peter E.; Tuan, Hoang The 32 2018 Bifurcations and continuous transitions of attractors in autonomous and nonautonomous systems. Zbl 1079.34041 Kloeden, P. E.; Siegmund, S. 31 2005 Upper semi continuity of attractors of delay differential equations in the delay. Zbl 1114.34045 Kloeden, Peter E. 31 2006 The exponential integrator scheme for stochastic partial differential equations: Pathwise error bounds. Zbl 1208.65017 Kloeden, P. E.; Lord, G. J.; Neuenkirch, A.; Shardlow, T. 31 2011 Anisotropy-based robust performance analysis of finite horizon linear discrete time varying systems. Zbl 1194.93052 Vladimirov, I. G.; Diamond, P.; Kloeden, P. 30 2006 Global existence of classical solutions in the dissipative shallow water equations. Zbl 0579.76047 Kloeden, P. E. 30 1985 The persistence of synchronization under environmental noise. Zbl 1206.60054 Caraballo, Tomás; Kloeden, Peter E. 30 2005 The Milstein scheme for stochastic delay differential equations without using anticipative calculus. Zbl 1247.65005 Kloeden, P. E.; Shardlow, T. 29 2012 Discretization of stationary solutions of stochastic systems driven by fractional Brownian motion. Zbl 1180.93095 Garrido-Atienza, María J.; Kloeden, Peter E.; Neuenkirch, Andreas 29 2009 Mean-square random attractors of stochastic delay differential equations with random delay. Zbl 1316.34083 Wu, Fuke; Kloeden, Peter E. 29 2013 Linear-implicit strong schemes for Itô-Galerkin approximations of stochastic PDEs. Zbl 0988.60066 Kloeden, P. E.; Shott, S. 28 2001 Pullback attractors for non-autonomous quasi-linear parabolic equations with dynamical boundary conditions. Zbl 1261.37033 Yang, Lu; Yang, Meihua; Kloeden, Peter E. 27 2012 A note on the Euler-Maruyama scheme for stochastic differential equations with a discontinuous monotone drift coefficient. Zbl 1136.65008 Halidias, Nikolaos; Kloeden, Peter E. 26 2008 Asymptotic invariance and limit sets of general control systems. Zbl 0306.93024 Kloeden, P. E. 26 1975 The uniform attractor of a multi-valued process generated by reaction-diffusion delay equations on an unbounded domain. Zbl 1304.35738 Wang, Yejuan; Kloeden, Peter E. 26 2014 Pullback attractors in dissipative nonautonomous differential equations under discretization. Zbl 0999.34054 Cheban, D. N.; Kloeden, P. E.; Schmalfuß, B. 25 2001 Pullback \(V\)-attractors of the 3-dimensional globally modified Navier-Stokes equations. Zbl 1152.35086 Kloeden, Peter E.; Langa, José A.; Real, José 24 2007 Asymptotic behavior of a neural field lattice model with a heaviside operator. Zbl 1448.82025 Han, Xiaoying; Kloeden, Peter E. 24 2019 Stochastic differential equations with nonlocal sample dependence. Zbl 1205.60131 Kloeden, Peter E.; Lorenz, Thomas 24 2010 Metric topology of fuzzy numbers and fuzzy analysis. Zbl 0988.26019 Diamond, Phil; Kloeden, Peter 23 2000 Euler-Maruyama scheme for Caputo stochastic fractional differential equations. Zbl 1455.60090 Doan, T. S.; Huong, P. T.; Kloeden, P. E.; Vu, A. M. 23 2020 The numerical solution of nonlinear stochastic dynamical systems: A brief introduction. Zbl 0876.65097 Kloeden, P. E.; Platen, E.; Schurz, H. 22 1991 Discrete-time nonautonomous dynamical systems. Zbl 1310.37011 Kloeden, P. E.; Pötzsche, C.; Rasmussen, M. 22 2013 Almost sure exponential stability of the Euler-Maruyama approximations for stochastic functional differential equations. Zbl 1276.60063 Wu, Fuke; Mao, Xuerong; Kloeden, Peter E. 22 2011 The numerical solution of stochastic differential equations. Zbl 0359.60081 Kloeden, P. E.; Pearson, R. A. 21 1977 Pathwise approximation of random ordinary differential equations. Zbl 0998.65010 Grüne, L.; Kloeden, P. E. 21 2001 Weak pullback attractors of setvalued processes. Zbl 1044.93035 Caraballo, T.; Kloeden, P. E.; Marín-Rubio, P. 21 2003 Nonautonomous chemostats with variable delays. Zbl 1323.92155 Caraballo, Tomás; Han, Xiaoying; Kloeden, Peter E. 21 2015 Discrete Razumikhin-type technique and stability of the Euler-Maruyama method to stochastic functional differential equations. Zbl 1270.65005 Wu, Fuke; Mao, Xuerong; Kloeden, Peter E. 21 2013 The weak connectedness of the attainability set of weak solutions of the three-dimensional Navier-Stokes equations. Zbl 1143.35082 Kloeden, P. E.; Valero, J. 20 2007 Convergence of numerical methods for stochastic differential equations in mathematical finance. Zbl 1277.91194 Kloeden, Peter; Neuenkirch, Andreas 20 2013 Invariant forward attractors of non-autonomous random dynamical systems. Zbl 1408.37036 Cui, Hongyong; Kloeden, Peter E. 20 2018 Pathwise convergent higher order numerical schemes for random ordinary differential equations. Zbl 1140.65015 Kloeden, Peter E.; Jentzen, Arnulf 19 2007 Multilevel Monte Carlo for stochastic differential equations with additive fractional noise. Zbl 1235.60064 Kloeden, Peter E.; Neuenkirch, Andreas; Pavani, Raffaella 19 2011 Higher order numerical schemes for affinely controlled nonlinear systems. Zbl 0992.65075 Grüne, L.; Kloeden, P. E. 19 2001 Nonautonomous attractors of switching systems. Zbl 1136.37313 Kloeden, P. E. 19 2006 Chemostats with random inputs and wall growth. Zbl 1341.34053 Caraballo, Tomás; Han, Xiaoying; Kloeden, Peter E. 19 2015 Limitations of pullback attractors for processes. Zbl 1241.39004 Kloeden, Peter E.; Pötzsche, Christian; Rasmussen, Martin 18 2012 Strong convergence rates for explicit space-time discrete numerical approximations of stochastic Allen-Cahn equations. Zbl 1517.60081 Becker, Sebastian; Gess, Benjamin; Jentzen, Arnulf; Kloeden, Peter E. 10 2023 Well-posedness and regularity for solutions of Caputo stochastic fractional differential equations in \(L^p\) spaces. Zbl 1515.60195 Huong, Phan Thi; Kloeden, P. E.; Son, Doan Thai 3 2023 Dissipative lattice dynamical systems. Zbl 1510.37003 Han, Xiaoying; Kloeden, Peter 3 2023 Pullback exponential attractors for non-autonomous recurrent neural networks with discrete and distributed time-varying delays. Zbl 1527.37088 Yang, Lin; Wang, Yejuan; Kloeden, Peter E. 2 2023 Exponential attractors for two-dimensional nonlocal diffusion lattice systems with delay. Zbl 1498.34201 Yang, Lin; Wang, Yejuan; Kloeden, Peter E. 2 2022 Forward and pullback dynamics of nonautonomous integrodifference equations: basic constructions. Zbl 1495.37025 Huynh, Huy; Kloeden, Peter E.; Pötzsche, Christian 2 2022 Pullback and forward dynamics of nonautonomous Laplacian lattice systems on weighted spaces. Zbl 1495.34022 Han, Xiaoying; Kloeden, Peter E. 1 2022 Global attractors for impulsive fractional delay lattice systems. Zbl 1493.34214 Wang, Yejuan; Gao, Fengshuang; Kloeden, Peter E. 1 2022 Sigmoidal approximations of a nonautonomous neural network with infinite delay and heaviside function. Zbl 1493.34169 Kloeden, Peter E.; Villarragut, Víctor M. 1 2022 A two-dimensional stochastic fractional non-local diffusion lattice model with delays. Zbl 1511.35378 Wang, Yejuan; Wang, Yu; Han, Xiaoying; Kloeden, Peter E. 1 2022 An introduction to the numerical simulation of stochastic differential equations. Zbl 07335009 Higham, Desmond J.; Kloeden, Peter E. 9 2021 An introduction to nonautonomous dynamical systems and their attractors. Zbl 1453.37001 Kloeden, Peter E.; Yang, Meihua 7 2021 Stochastic dynamics of a neural field lattice model with state dependent nonlinear noise. Zbl 1476.34050 Wang, Xiaoli; Kloeden, Peter E.; Han, Xiaoying 7 2021 Semi-dynamical systems generated by autonomous Caputo fractional differential equations. Zbl 1493.34022 Doan, Thai Son; Kloeden, Peter E. 5 2021 Convergence rate of random attractors for 2D Navier-Stokes equation towards the deterministic singleton attractor. Zbl 1479.35605 Cui, Hongyong; Kloeden, Peter E. 3 2021 Corrigendum to: “Sigmoidal approximations of Heaviside functions in neural lattice models”. Zbl 1452.34021 Han, Xiaoying; Kloeden, Peter E. 2 2021 Local equi-attraction of pullback attractor sections. Zbl 1460.37013 Li, Fuzhi; Xin, Jie; Cui, Hongyong; Kloeden, Peter E. 1 2021 Time-consistent portfolio optimization. Zbl 1487.91127 Peng, Ling; Kloeden, Peter E. 1 2021 Euler-Maruyama scheme for Caputo stochastic fractional differential equations. Zbl 1455.60090 Doan, T. S.; Huong, P. T.; Kloeden, P. E.; Vu, A. M. 23 2020 Discretisation of global attractors for lattice dynamical systems. Zbl 1466.34021 Han, Xiaoying; Kloeden, Peter E.; Sonner, Stefanie 14 2020 Sigmoidal approximations of Heaviside functions in neural lattice models. Zbl 1434.34023 Han, Xiaoying; Kloeden, Peter E. 14 2020 Random recurrent neural networks with delays. Zbl 1453.34105 Sui, Meiyu; Wang, Yejuan; Han, Xiaoying; Kloeden, Peter E. 13 2020 The truncated Euler-Maruyama method for stochastic differential equations with Hölder diffusion coefficients. Zbl 1490.65010 Yang, Hao; Wu, Fuke; Kloeden, Peter E.; Mao, Xuerong 8 2020 Attractors of Hopfield-type lattice models with increasing neuronal input. Zbl 1432.34020 Wang, Xiaoli; Kloeden, Peter E.; Han, Xiaoying 7 2020 Asymptotic behaviour of a neural field lattice model with delays. Zbl 1447.34068 Wang, Xiaoli; Kloeden, Peter; Yang, Meihua 6 2020 Strong \((L^2,L^\gamma\cap H_0^1)\)-continuity in initial data of nonlinear reaction-diffusion equation in any space dimension. Zbl 1448.35298 Cui, Hongyong; Kloeden, Peter E.; Zhao, Wenqiang 5 2020 Lower and upper bounds for strong approximation errors for numerical approximations of stochastic heat equations. Zbl 1472.60111 Becker, Sebastian; Gess, Benjamin; Jentzen, Arnulf; Kloeden, Peter E. 3 2020 Forward omega limit sets of nonautonomous dynamical systems. Zbl 1439.35056 Cui, Hongyong; Kloeden, Peter E.; Yang, Meihua 3 2020 A free boundary tumor model with time dependent nutritional supply. Zbl 1433.35431 Sun, Wenlong; Caraballo, Tomás; Han, Xiaoying; Kloeden, Peter E. 2 2020 Sigmoidal approximations of a delay neural lattice model with heaviside functions. Zbl 1451.34101 Wang, Xiaoli; Yang, Meihua; Kloeden, Peter E. 2 2020 Asymptotic behavior of a neural field lattice model with a heaviside operator. Zbl 1448.82025 Han, Xiaoying; Kloeden, Peter E. 24 2019 Long term behavior of a random Hopfield neural lattice model. Zbl 1404.37093 Han, Xiaoying; Kloeden, Peter E.; Usman, Basiru 13 2019 Tail convergences of pullback attractors for asymptotically converging multi-valued dynamical systems. Zbl 1416.37019 Cui, Hongyong; Kloeden, Peter E. 12 2019 Lattice dynamical systems in the biological sciences. Zbl 1427.92043 Han, Xiaoying; Kloeden, Peter E. 5 2019 The asymptotic behaviour of fractional lattice systems with variable delay. Zbl 1428.34116 Liu, Linfang; Caraballo, Tomás; Kloeden, Peter E. 3 2019 Forward attracting sets of reaction-diffusion equations on variable domains. Zbl 1409.37077 Kloeden, Peter E.; Yang, Meihua 2 2019 Compactness in Lebesgue-Bochner spaces of random variables and the existence of mean-square random attractors. Zbl 1427.60009 Wang, Yejuan; Zhu, Xiangming; Kloeden, Peter 2 2019 Existence and approximation of strong solutions of SDEs with fractional diffusion coefficients. Zbl 1420.60076 Yang, Hao; Wu, Fuke; Kloeden, Peter E. 2 2019 Comparison of attractors of asymptotically equivalent difference equations. Zbl 1426.39015 Cui, Hongyong; Kloeden, Peter E. 1 2019 Dynamics of Zika virus epidemic in random environment. Zbl 1430.92086 Asai, Yusuke; Han, Xiaoying; Kloeden, Peter E. 1 2019 Sequence spaces with variable exponents for lattice systems with nonlinear diffusion. Zbl 1428.46015 Han, Xiaoying; Kloeden, Peter E.; Simsen, Jacson 1 2019 Pathwise upper semi-continuity of random pullback attractors along the time axis. Zbl 1392.37042 Cui, Hongyong; Kloeden, Peter E.; Wu, Fuke 33 2018 Asymptotic separation between solutions of Caputo fractional stochastic differential equations. Zbl 1401.26009 Dr. Son, Doan Thai; Huong, Phan Thi; Kloeden, Peter E.; Tuan, Hoang The 32 2018 Invariant forward attractors of non-autonomous random dynamical systems. Zbl 1408.37036 Cui, Hongyong; Kloeden, Peter E. 20 2018 Long term dynamics of second order-in-time stochastic evolution equations with state-dependent delay. Zbl 1395.60070 Chueshov, Igor; Kloeden, Peter E.; Yang, Meihua 3 2018 Weak solution of stochastic differential equations with fractional diffusion coefficient. Zbl 1401.60118 Yang, Hao; Kloeden, Peter E.; Wu, Fuke 3 2018 Random ordinary differential equations and their numerical solution. Zbl 1392.60003 Han, Xiaoying; Kloeden, Peter E. 39 2017 Asymptotically autonomous multivalued Cauchy problems with spatially variable exponents. Zbl 1349.35443 Kloeden, Peter E.; Simsen, Jacson; Stefanello Simsen, Mariza 36 2017 Pullback attractors of reaction-diffusion inclusions with space-dependent delay. Zbl 1359.35015 Lorenz, Thomas; Kloeden, Peter E. 10 2017 Global exponential \(\kappa\)-dissipative semigroups and exponential attraction. Zbl 1367.47062 Zhang, Jin; Kloeden, Peter E.; Yang, Meihua; Zhong, Chengkui 7 2017 Gauss-quadrature method for one-dimensional mean-field SDEs. Zbl 1378.65035 Kloeden, Peter; Shardlow, Tony 4 2017 Impulsive fractional functional differential equations with a weakly continuous nonlinearity. Zbl 1386.34132 Wang, Yejuan; Gao, Fengshuang; Kloeden, Peter 4 2017 Attractors under discretisation. Zbl 1381.65099 Han, Xiaoying; Kloeden, Peter 4 2017 Non-autonomous lattice systems with switching effects and delayed recovery. Zbl 1345.34128 Han, Xiaoying; Kloeden, Peter E. 45 2016 Construction of nonautonomous forward attractors. Zbl 1362.37045 Kloeden, Peter E.; Lorenz, Thomas 34 2016 Asymptotic behavior of a nonautonomous \(p\)-Laplacian lattice system. Zbl 1352.34014 Gu, Anhui; Kloeden, Peter E. 33 2016 Asymptotic behavior of stochastic lattice systems with a Caputo fractional time derivative. Zbl 1337.26021 Wang, Yejuan; Xu, Jiaohui; Kloeden, Peter E. 33 2016 An exponential Wagner-Platen type scheme for SPDEs. Zbl 1345.60068 Becker, Sebastian; Jentzen, Arnulf; Kloeden, Peter E. 12 2016 Nonlocal multi-scale traffic flow models: analysis beyond vector spaces. Zbl 1362.35184 Kloeden, Peter E.; Lorenz, Thomas 11 2016 Asymptotic invariance and the discretisation of nonautonomous forward attracting sets. Zbl 1366.34082 Kloeden, Peter E. 7 2016 Forward attraction in nonautonomous difference equations. Zbl 1467.39009 Kloeden, Peter E.; Yang, Meihua 7 2016 A nonlocal sample dependence SDE-PDE system modeling proton dynamics in a tumor. Zbl 1347.60086 Kloeden, Peter E.; Sonner, Stefanie; Surulescu, Christina 6 2016 Multi-step methods for random ODEs driven by Itô diffusions. Zbl 1327.34109 Asai, Y.; Kloeden, P. E. 5 2016 Forward attractors in discrete time nonautonomous dynamical systems. Zbl 1375.37052 Kloeden, Peter E.; Lorenz, Thomas; Yang, Meihua 5 2016 Synchronization in coupled stochastic sine-Gordon wave model. Zbl 1352.37187 Chueshov, Igor; Kloeden, Peter E.; Yang, Meihua 4 2016 Numerical schemes for random ODEs with affine noise. Zbl 1357.65009 Asai, Y.; Kloeden, P. E. 3 2016 A random model for immune response to virus in fluctuating environments. Zbl 1360.92067 Asai, Yusuke; Caraballo, Tomás; Han, Xiaoying; Kloeden, Peter E. 1 2016 Attractors of asymptotically autonomous quasi-linear parabolic equation with spatially variable exponents. Zbl 1310.35203 Kloeden, Peter E.; Simsen, Jacson 35 2015 Nonautonomous and random attractors. Zbl 1358.37041 Crauel, Hans; Kloeden, Peter E. 32 2015 Nonautonomous chemostats with variable delays. Zbl 1323.92155 Caraballo, Tomás; Han, Xiaoying; Kloeden, Peter E. 21 2015 Chemostats with random inputs and wall growth. Zbl 1341.34053 Caraballo, Tomás; Han, Xiaoying; Kloeden, Peter E. 19 2015 A Peano theorem for fuzzy differential equations with evolving membership grade. Zbl 1377.34003 Kloeden, Peter E.; Lorenz, Thomas 8 2015 The mean-square dichotomy spectrum and a bifurcation to a mean-square attractor. Zbl 1366.37122 Doan, Thai Son; Rasmussen, Martin; Kloeden, Peter E. 8 2015 Nonautonomous bifurcation scenarios in SIR models. Zbl 1357.37090 Kloeden, P. E.; Pötzsche, C. 7 2015 Dynamics of nonautonomous chemostat models. Zbl 1335.92062 Caraballo, Tomás; Han, Xiaoying; Kloeden, Peter E.; Rapaport, Alain 7 2015 Pullback and forward attractors of nonautonomous difference equations. Zbl 1336.39014 Kloeden, Peter; Lorenz, Thomas 5 2015 The uniform attractor of a multi-valued process generated by reaction-diffusion delay equations on an unbounded domain. Zbl 1304.35738 Wang, Yejuan; Kloeden, Peter E. 26 2014 Pullback attractors for non-autonomous evolution equations with spatially variable exponents. Zbl 1304.35120 Kloeden, Peter E.; Simsen, Jacson 18 2014 Pullback incremental attraction. Zbl 1308.37009 Kloeden, Peter E.; Lorenz, Thomas 13 2014 Asymptotic behaviour of the nonautonomous SIR equations with diffusion. Zbl 1272.35043 Anguiano, María; Kloeden, P. E. 7 2014 Reaction-diffusion equations with a switched-off reaction zone. Zbl 1304.35791 Kloeden, Peter E.; Lorenz, Thomas; Yang, Meihua 2 2014 Divergence of the multilevel Monte Carlo Euler method for nonlinear stochastic differential equations. Zbl 1283.60098 Hutzenthaler, Martin; Jentzen, Arnulf; Kloeden, Peter E. 35 2013 Mean-square random attractors of stochastic delay differential equations with random delay. Zbl 1316.34083 Wu, Fuke; Kloeden, Peter E. 29 2013 Discrete-time nonautonomous dynamical systems. Zbl 1310.37011 Kloeden, P. E.; Pötzsche, C.; Rasmussen, M. 22 2013 Discrete Razumikhin-type technique and stability of the Euler-Maruyama method to stochastic functional differential equations. Zbl 1270.65005 Wu, Fuke; Mao, Xuerong; Kloeden, Peter E. 21 2013 Convergence of numerical methods for stochastic differential equations in mathematical finance. Zbl 1277.91194 Kloeden, Peter; Neuenkirch, Andreas 20 2013 Nonautonomous dynamical systems in the life sciences. Zbl 1311.37075 Kloeden, Peter E.; Pötzsche, Christian 15 2013 Numerical schemes for random ODEs via stochastic differential equations. Zbl 1294.60091 Asai, Y.; Kloeden, P. E. 13 2013 Fuzzy differential equations without fuzzy convexity. Zbl 1314.34011 Kloeden, Peter E.; Lorenz, Thomas 12 2013 The three-dimensional globally modified Navier-Stokes equations: recent developments. Zbl 1317.76030 Caraballo, T.; Kloeden, P. E. 10 2013 Pullback attractors of a multi-valued process generated by parabolic differential equations with unbounded delays. Zbl 1282.35398 Wang, Yejuan; Kloeden, P. E. 10 2013 A Peano-like theorem for stochastic differential equations with nonlocal sample dependence. Zbl 1273.60081 Kloeden, Peter E.; Lorenz, Thomas 7 2013 Stable integration of stiff random ordinary differential equations. Zbl 1273.60079 Asai, Y.; Herrmann, E.; Kloeden, P. E. 7 2013 Switching systems and entropy. Zbl 1373.37046 Amigó, José M.; Kloeden, Peter E.; Giménez, Ángel 4 2013 Entropy increase in switching systems. Zbl 1310.37009 Amigó, José M.; Kloeden, Peter E.; Giménez, Ángel 3 2013 Asymptotic behaviour of random tridiagonal Markov chains in biological applications. Zbl 1277.60118 Kloeden, Peter E.; Kozyakin, Victor 3 2013 Recent developments in computational finance. Foundations, algorithms and applications. In part based on the presentations at the international workshop on numerical algorithms in computational finance, Frankfurt/Main, Germany, July 20–22, 2011. Zbl 1272.91008 2 2013 The envelope attractor of non-strict multivalued dynamical systems with application to the 3D Navier-Stokes and reaction-diffusion equations. Zbl 1277.35066 Kloeden, P. E.; Marín-Rubio, P.; Valero, J. 2 2013 Asymptotic behaviour of random Markov chains with tridiagonal generators. Zbl 1268.34105 Kloeden, Peter E.; Kozyakin, Victor S. 2 2013 Nonautonomous dynamical systems in the life sciences. Zbl 1282.37004 1 2013 ...and 241 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 5,912 Authors 197 Kloeden, Peter Eris 114 Caraballo Garrido, Tomás 63 Li, Yangrong 59 Wang, Bixiang 57 Mao, Xuerong 43 Jentzen, Arnulf 42 Langa, Jose’ Antonio 42 Wang, Yejuan 39 Wang, Renhai 37 Han, Xiaoying 32 Gan, Siqing 30 Duan, Jinqiao 29 Wang, Xiaojie 28 Burrage, Kevin 28 Valero, José 28 Zhou, Shengfan 26 Cortés López, Juan Carlos 26 Diamond, Phil 26 Marín-Rubio, Pedro 25 Rößler, Andreas 25 Zhao, Caidi 24 Li, Dingshi 24 Yuan, Chenggui 23 Khastan, Alireza 23 Neuenkirch, Andreas 22 Allen, Edward James 21 Nolasco de Carvalho, Alexandre 21 Schmalfuß, Björn 20 Gu, Anhui 20 Hong, Jialin 20 Li, Desheng 20 Rasmussen, Martin 20 Real Anguas, José 20 Wu, Fuke 19 Chen, Zhang 19 Cui, Hongyong 19 Gong, Zengtai 19 Jimenez, Juan Carlos 19 Liu, Wei 19 Przybyłowicz, Paweł 19 Sun, Chunyou 19 Zhang, Qiangheng 18 Buckwar, Evelyn 18 D’Ambrosio, Raffaele 18 Kuznetsov, Dmitriĭ Feliksovich 18 Lorenz, Thomas 18 Lu, Kening 18 Müller-Gronbach, Thomas 18 Nieto Roig, Juan Jose 18 Platen, Eckhard 18 Rodríguez-López, Rosana 18 Wu, Congxin 18 Zhao, Weidong 17 Debrabant, Kristian 17 Huang, Chengming 17 Li, Fuzhi 17 Liu, Mingzhu 17 Łukaszewicz, Grzegorz 17 Pokrovskiĭ, Alexeĭ Vadimovich 17 Simsen, Jacson 17 Zhang, Qimin 16 Gil, María Angeles 16 Yang, Meihua 16 Yang, Shuang 15 Chalco-Cano, Yurilev 15 Ding, Xiaohua 15 Garrido-Atienza, María José 15 Guo, Qian 15 Pötzsche, Christian 15 Song, Minghui 15 Yamada, Toshihiro 14 Colubi, Ana 14 Coroianu, Lucian C. 14 Hu, Junhao 14 Huang, Jianhua 14 Hutzenthaler, Martin 14 Ma, Qiang 14 Ma, Qiaozhen 14 Roberts, Gareth O. 14 Robinson, James Cooper 14 Xiao, Aiguo 14 Zaslavski, Alexander Yakovlevich 13 Anguiano, María 13 Higham, Desmond J. 13 Hosseini, Seyed Mohammad 13 Kasyanov, Pavlo O. 13 Kurdyukov, Alexander P. 13 Malinowski, Marek T. 13 She, Lianbing 13 Zhu, Kaixuan 12 Allahviranloo, Tofigh 12 Bréhier, Charles-Edouard 12 Cao, Wanrong 12 Kulikov, Gennady Yur’evich 12 Lubiano, María Asunción 12 Ngo, Hoang-Long 12 Obaya, Rafael 12 Reisinger, Christoph 12 Sabanis, Sotirios 12 Shi, Lin ...and 5,812 more Authors all top 5 Cited in 571 Serials 235 Fuzzy Sets and Systems 220 Journal of Computational and Applied Mathematics 175 Discrete and Continuous Dynamical Systems. Series B 157 Applied Mathematics and Computation 133 Journal of Differential Equations 131 Journal of Mathematical Analysis and Applications 110 Journal of Computational Physics 102 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 100 Stochastic Analysis and Applications 90 Applied Numerical Mathematics 81 Stochastics and Dynamics 71 Computers & Mathematics with Applications 68 BIT 61 Advances in Difference Equations 58 Mathematics and Computers in Simulation 58 Stochastic Processes and their Applications 57 Information Sciences 56 Journal of Mathematical Physics 51 Journal of Dynamics and Differential Equations 51 Discrete and Continuous Dynamical Systems 50 Communications in Nonlinear Science and Numerical Simulation 49 SIAM Journal on Numerical Analysis 49 Journal of Difference Equations and Applications 47 The Annals of Applied Probability 47 Abstract and Applied Analysis 46 International Journal of Computer Mathematics 46 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 44 Numerical Algorithms 42 Physica D 41 Applied Mathematical Modelling 41 Communications on Pure and Applied Analysis 39 Discrete and Continuous Dynamical Systems. Series S 36 Chaos, Solitons and Fractals 36 Soft Computing 34 Statistics & Probability Letters 34 Nonlinear Analysis. Real World Applications 31 Automation and Remote Control 29 Journal of Statistical Physics 29 Mathematics of Computation 29 Monte Carlo Methods and Applications 28 Automatica 26 Mathematical Methods in the Applied Sciences 26 Physica A 26 Applied Mathematics Letters 26 Mathematical Problems in Engineering 26 Chaos 25 Computational and Applied Mathematics 25 Stochastics 24 Journal of Scientific Computing 23 Differentsial’nye Uravneniya i Protsessy Upravleniya 22 Nonlinear Dynamics 21 Computer Physics Communications 21 Applied Mathematics and Optimization 21 Systems & Control Letters 21 SIAM Journal on Scientific Computing 21 Stochastic and Partial Differential Equations. Analysis and Computations 20 Journal of Mathematical Biology 20 Journal of Econometrics 20 Numerische Mathematik 20 Journal of Complexity 19 Nonlinearity 19 Mathematical and Computer Modelling 19 Computational Statistics and Data Analysis 18 Applicable Analysis 18 Methodology and Computing in Applied Probability 18 Journal of Theoretical Biology 18 SIAM/ASA Journal on Uncertainty Quantification 17 Mathematical Biosciences 17 Journal of Nonlinear Science 17 Multiscale Modeling & Simulation 17 Mathematical Biosciences and Engineering 17 Nonlinear Analysis. Theory, Methods & Applications 16 Dynamical Systems 15 Journal of Applied Probability 15 Proceedings of the American Mathematical Society 15 Journal of Applied Mathematics and Computing 14 International Journal of Control 14 Bulletin of Mathematical Biology 14 International Journal of Approximate Reasoning 14 Boundary Value Problems 14 Journal of Applied Analysis and Computation 14 Electronic Research Archive 13 Computer Methods in Applied Mechanics and Engineering 13 The Annals of Probability 13 Numerical Functional Analysis and Optimization 13 SIAM Journal on Applied Dynamical Systems 13 AIMS Mathematics 12 Journal of Fluid Mechanics 12 Discrete Dynamics in Nature and Society 12 Journal of Applied Mathematics 12 Nonlinear Analysis. Hybrid Systems 12 Statistics and Computing 12 Journal of Computational Dynamics 11 Physics Letters. A 11 ZAMP. Zeitschrift für angewandte Mathematik und Physik 11 Journal of Theoretical Probability 11 European Journal of Operational Research 11 Filomat 11 Finance and Stochastics 11 Journal of Inequalities and Applications ...and 471 more Serials all top 5 Cited in 59 Fields 2,567 Probability theory and stochastic processes (60-XX) 1,811 Numerical analysis (65-XX) 1,190 Partial differential equations (35-XX) 1,139 Dynamical systems and ergodic theory (37-XX) 1,106 Ordinary differential equations (34-XX) 451 Biology and other natural sciences (92-XX) 408 Systems theory; control (93-XX) 361 Statistics (62-XX) 323 Fluid mechanics (76-XX) 322 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 224 Real functions (26-XX) 163 Mathematical logic and foundations (03-XX) 143 Statistical mechanics, structure of matter (82-XX) 135 General topology (54-XX) 111 Difference and functional equations (39-XX) 110 Operator theory (47-XX) 98 Computer science (68-XX) 97 Integral equations (45-XX) 97 Calculus of variations and optimal control; optimization (49-XX) 92 Operations research, mathematical programming (90-XX) 77 Functional analysis (46-XX) 76 Geophysics (86-XX) 71 Mechanics of deformable solids (74-XX) 62 Measure and integration (28-XX) 62 Approximations and expansions (41-XX) 56 Sequences, series, summability (40-XX) 45 Mechanics of particles and systems (70-XX) 38 Quantum theory (81-XX) 31 Information and communication theory, circuits (94-XX) 24 Global analysis, analysis on manifolds (58-XX) 22 Classical thermodynamics, heat transfer (80-XX) 19 Harmonic analysis on Euclidean spaces (42-XX) 18 Linear and multilinear algebra; matrix theory (15-XX) 13 Convex and discrete geometry (52-XX) 12 Integral transforms, operational calculus (44-XX) 10 Combinatorics (05-XX) 8 History and biography (01-XX) 8 Number theory (11-XX) 7 Functions of a complex variable (30-XX) 7 Special functions (33-XX) 7 Differential geometry (53-XX) 7 Optics, electromagnetic theory (78-XX) 6 Relativity and gravitational theory (83-XX) 5 General and overarching topics; collections (00-XX) 5 Astronomy and astrophysics (85-XX) 4 Topological groups, Lie groups (22-XX) 4 Manifolds and cell complexes (57-XX) 3 Nonassociative rings and algebras (17-XX) 3 Potential theory (31-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 General algebraic systems (08-XX) 2 Field theory and polynomials (12-XX) 2 Associative rings and algebras (16-XX) 2 Category theory; homological algebra (18-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Abstract harmonic analysis (43-XX) 2 Algebraic topology (55-XX) 1 Group theory and generalizations (20-XX) 1 Mathematics education (97-XX) Citations by Year