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Kloeden, Peter Eris

Author ID: kloeden.peter-eris Recent zbMATH articles by "Kloeden, Peter Eris"
Published as: Kloeden, Peter E.; Kloeden, P. E.; Kloeden, Peter; Kloeden, P.; Kloeden, Peter Eris; Kloeden, Peter. E.; Cloeden, P.
Homepage: http://www.math.uni-frankfurt.de/~kloeden/
External Links: MGP
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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
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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

Publications by Year

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
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 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
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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
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102 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
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12 Statistics and Computing
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11 Physics Letters. A
11 ZAMP. Zeitschrift für angewandte Mathematik und Physik
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