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ORCIDPeter E. Kloeden
Person information
- affiliation: Huazhong University of Science & Technology, Wuhan, China
- affiliation (former): Goethe University Frankfurt, Frankfurt am Main, Germany
- affiliation (former): Deakin University, Geelong, VIC, Australia
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Journal Articles
- 2024
[j39]Wenlong Sun, Xiaoying Han
, Peter E. Kloeden:
Approximation of the Heaviside function by sigmoidal functions in reaction-diffusion equations. Commun. Nonlinear Sci. Numer. Simul. 128: 107656 (2024)- 2023
- [j38]Qingyan Meng, Yejuan Wang, Peter E. Kloeden:
The dynamical behavior of a class of stochastic vegetation models. Math. Comput. Simul. 211: 341-367 (2023) - [j37]Yangrong Li, Fengling Wang, Peter Kloeden:
Enlarged Numerical Attractors for Lattice Systems with Porous Media Degeneracies. SIAM J. Appl. Dyn. Syst. 22(3): 2282-2311 (2023) - [j36]Luu Hoang Duc, Peter Kloeden:
Numerical Attractors for Rough Differential Equations. SIAM J. Numer. Anal. 61(5): 2381-2407 (2023) - 2022
- [j35]Ling Peng, Peter E. Kloeden:
A reusable discounting framework under jump-diffusion process. Expert Syst. Appl. 202: 117229 (2022) - 2021
- [j34]Ling Peng, Peter E. Kloeden:
Time-consistent portfolio optimization. Eur. J. Oper. Res. 288(1): 183-193 (2021) - [j33]Peng Wang, Yanzhao Cao, Xiaoying Han, Peter Kloeden:
Mean-square convergence of numerical methods for random ordinary differential equations. Numer. Algorithms 87(1): 299-333 (2021) - 2020
- [j32]Hao Yang, Fuke Wu, Peter E. Kloeden, Xuerong Mao:
The truncated Euler-Maruyama method for stochastic differential equations with Hölder diffusion coefficients. J. Comput. Appl. Math. 366 (2020) - [j31]Thai Son Doan, Phan Thi Huong, Peter E. Kloeden, Anh My Vu:
Euler-Maruyama scheme for Caputo stochastic fractional differential equations. J. Comput. Appl. Math. 380: 112989 (2020) - 2019
- [j30]Yusuke Asai, Peter E. Kloeden:
Numerical schemes for ordinary delay differential equations with random noise. Appl. Math. Comput. 347: 306-318 (2019) - [j29]Hongyong Cui, Peter E. Kloeden:
Tail convergences of pullback attractors for asymptotically converging multi-valued dynamical systems. Asymptot. Anal. 112(3-4): 165-184 (2019) - 2017
- [j28]Peter Kloeden, Tony Shardlow:
Gauss-Quadrature Method for One-Dimensional Mean-Field SDEs. SIAM J. Sci. Comput. 39(6) (2017) - 2016
- [j27]Anhui Gu, Peter E. Kloeden:
Asymptotic Behavior of a Nonautonomous p-Laplacian Lattice System. Int. J. Bifurc. Chaos 26(10): 1650174:1-1650174:9 (2016) - [j26]Yusuke Asai, Peter E. Kloeden:
Multi-step methods for random ODEs driven by Itô diffusions. J. Comput. Appl. Math. 294: 210-224 (2016) - [j25]Yusuke Asai, Peter E. Kloeden:
Numerical schemes for random ODEs with affine noise. Numer. Algorithms 72(1): 155-171 (2016) - [j24]Sebastian Becker, Arnulf Jentzen, Peter E. Kloeden:
An Exponential Wagner-Platen Type Scheme for SPDEs. SIAM J. Numer. Anal. 54(4): 2389-2426 (2016) - 2015
- [j23]Peter E. Kloeden, Thomas Lorenz:
A Peano theorem for fuzzy differential equations with evolving membership grade. Fuzzy Sets Syst. 280: 1-26 (2015) - [j22]Tomás Caraballo, Xiaoying Han, Peter E. Kloeden:
Nonautonomous Chemostats with Variable Delays. SIAM J. Math. Anal. 47(3): 2178-2199 (2015) - 2013
- [j21]José M. Amigó, Peter E. Kloeden, Ángel Giménez:
Entropy Increase in Switching Systems. Entropy 15(6): 2363-2383 (2013) - [j20]Peter E. Kloeden, Thomas Lorenz:
Fuzzy differential equations without fuzzy convexity. Fuzzy Sets Syst. 230: 65-81 (2013) - 2012
- [j19]Peter Kloeden, Klaus Ritter:
Preface: 'Recent advances in the numerical approximation of stochastic partial differential equations'. Int. J. Comput. Math. 89(18): 2441-2442 (2012) - 2011
- [j18]Peter E. Kloeden, Andreas Neuenkirch, Raffaella Pavani:
Multilevel Monte Carlo for stochastic differential equations with additive fractional noise. Ann. Oper. Res. 189(1): 255-276 (2011) - [j17]Peter E. Kloeden, Gabriel J. Lord, Andreas Neuenkirch, Tony Shardlow:
The exponential integrator scheme for stochastic partial differential equations: Pathwise error bounds. J. Comput. Appl. Math. 235(5): 1245-1260 (2011) - [j16]Peter E. Kloeden, Carlos Sanz-Chacón:
Efficient price sensitivity estimation of financial derivatives by weak derivatives. Monte Carlo Methods Appl. 17(1): 47-75 (2011) - 2010
- [j15]Francisco Balibrea, Tomás Caraballo, Peter E. Kloeden, José Valero:
Recent Developments in Dynamical Systems: Three Perspectives. Int. J. Bifurc. Chaos 20(9): 2591-2636 (2010) - [j14]Peter E. Kloeden, Christian Pötzsche:
Dynamics of Modified predator-prey Models. Int. J. Bifurc. Chaos 20(9): 2657-2669 (2010) - 2009
- [j13]Arnulf Jentzen, Peter E. Kloeden, Andreas Neuenkirch:
Pathwise approximation of stochastic differential equations on domains: higher order convergence rates without global Lipschitz coefficients. Numerische Mathematik 112(1): 41-64 (2009) - 2007
- [j12]Peter E. Kloeden, Andreas Neuenkirch:
The Pathwise Convergence of Approximation Schemes for Stochastic Differential Equations. LMS J. Comput. Math. 10: 235-253 (2007) - 2006
- [j11]Lars Grüne, Peter E. Kloeden:
Higher order numerical approximation of switching systems. Syst. Control. Lett. 55(9): 746-754 (2006) - [j10]Tomás Caraballo, Igor D. Chueshov, Peter E. Kloeden:
Synchronization of a Stochastic Reaction-Diffusion System on a Thin Two-Layer Domain. SIAM J. Math. Anal. 38(5): 1489-1507 (2006) - 2005
- [j9]Peter E. Kloeden, Stefan Siegmund:
Bifurcations and Continuous Transitions of attractors in Autonomous and nonautonomous Systems. Int. J. Bifurc. Chaos 15(3): 743-762 (2005) - [j8]Desmond J. Higham, Peter E. Kloeden:
Numerical methods for nonlinear stochastic differential equations with jumps. Numerische Mathematik 101(1): 101-119 (2005) - 2001
- [j7]Lars Grüne, Peter E. Kloeden:
Higher order numerical schemes for affinely controlled nonlinear systems. Numerische Mathematik 89(4): 669-690 (2001) - 1998
- [j6]Phil Diamond, Peter Kloeden, Alexander Vladimirov:
Spikes, broken planes and the approximation of convex fuzzy sets. Fuzzy Sets Syst. 99(2): 225-232 (1998) - 1997
- [j5]Phil Diamond, Peter Kloeden, Alexei Pokrovskii:
Absolute retracts and a general fixed point theorem for fuzzy sets. Fuzzy Sets Syst. 86(3): 377-380 (1997) - [j4]Peter E. Kloeden, Björn Schmalfuß:
Nonautonomous systems, cocycle attractors and variable time-step discretization. Numer. Algorithms 14(1-3): 141-152 (1997) - 1995
- [j3]Phil Diamond, Peter Kloeden, Victor S. Kozyakin, Alexei Pokrovskii:
On the Fragmentary Complexity of Symbolic Sequences. Theor. Comput. Sci. 148(1): 1-17 (1995) - 1993
- [j2]Peter Kloeden:
Stochastic versus fuzzy approaches to multiobjective mathematical programming under uncertainty : Roman Slowinski and Jacques Teghem. Autom. 29(3): 803 (1993) - [j1]Phil Diamond, Peter Kloeden, Alexei Pokrovskii:
Numerical Modeling of Toroidal Dynamical Systems with Invariant Lebesgue Measure. Complex Syst. 7(6) (1993)
Conference and Workshop Papers
- 2002
- [c1]Lars Grüne, Peter E. Kloeden:
Numerical Schemes of Higher Order for a Class of Nonlinear Control Systems. Numerical Methods and Application 2002: 213-220
Reference Works
- 2011
- [r2]Peter E. Kloeden:
Numerical Methods for Stochastic Differential Equations. International Encyclopedia of Statistical Science 2011: 1009-1012 - [r1]Peter E. Kloeden:
Stochastic Differential Equations. International Encyclopedia of Statistical Science 2011: 1520-1521
Informal and Other Publications
- 2023
- [i1]Peter E. Kloeden, Ricardo M. S. Rosa:
Improved error estimate for the order of strong convergence of the Euler method for random ordinary differential equations. CoRR abs/2306.15418 (2023)
Coauthor Index
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