Peter E. Kloeden

Orcid: 0000-0001-9505-2257

Affiliations:
  • Huazhong University of Science & Technology, Wuhan, China
  • Goethe University Frankfurt, Frankfurt am Main, Germany (former)
  • Deakin University, Geelong, VIC, Australia (former)


According to our database1, Peter E. Kloeden authored at least 45 papers between 1993 and 2025.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

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Bibliography

2025
Fokker-Planck equation and Feynman-Kac formula for multidimensional stochastic dynamical systems with Lévy noises and time-dependent coefficients.
Math. Comput. Simul., 2025

2024
Approximation of the Heaviside function by sigmoidal functions in reaction-diffusion equations.
Commun. Nonlinear Sci. Numer. Simul., January, 2024

The ultimate boundedness of solutions for stochastic differential equations driven by time-changed Lévy noises.
Appl. Math. Lett., 2024

2023
Numerical Attractors for Rough Differential Equations.
SIAM J. Numer. Anal., October, 2023

Enlarged Numerical Attractors for Lattice Systems with Porous Media Degeneracies.
SIAM J. Appl. Dyn. Syst., September, 2023

The dynamical behavior of a class of stochastic vegetation models.
Math. Comput. Simul., 2023

Improved error estimate for the order of strong convergence of the Euler method for random ordinary differential equations.
CoRR, 2023

2022
A reusable discounting framework under jump-diffusion process.
Expert Syst. Appl., 2022

2021
Mean-square convergence of numerical methods for random ordinary differential equations.
Numer. Algorithms, 2021

Time-consistent portfolio optimization.
Eur. J. Oper. Res., 2021

2020
The truncated Euler-Maruyama method for stochastic differential equations with Hölder diffusion coefficients.
J. Comput. Appl. Math., 2020

Euler-Maruyama scheme for Caputo stochastic fractional differential equations.
J. Comput. Appl. Math., 2020

2019
Tail convergences of pullback attractors for asymptotically converging multi-valued dynamical systems.
Asymptot. Anal., 2019

Numerical schemes for ordinary delay differential equations with random noise.
Appl. Math. Comput., 2019

2017
Gauss-Quadrature Method for One-Dimensional Mean-Field SDEs.
SIAM J. Sci. Comput., 2017

2016
An Exponential Wagner-Platen Type Scheme for SPDEs.
SIAM J. Numer. Anal., 2016

Numerical schemes for random ODEs with affine noise.
Numer. Algorithms, 2016

Multi-step methods for random ODEs driven by Itô diffusions.
J. Comput. Appl. Math., 2016

Asymptotic Behavior of a Nonautonomous p-Laplacian Lattice System.
Int. J. Bifurc. Chaos, 2016

2015
Nonautonomous Chemostats with Variable Delays.
SIAM J. Math. Anal., 2015

A Peano theorem for fuzzy differential equations with evolving membership grade.
Fuzzy Sets Syst., 2015

2013
Fuzzy differential equations without fuzzy convexity.
Fuzzy Sets Syst., 2013

Entropy Increase in Switching Systems.
Entropy, 2013

2012
Preface: 'Recent advances in the numerical approximation of stochastic partial differential equations'.
Int. J. Comput. Math., 2012

2011
Stochastic Differential Equations.
Proceedings of the International Encyclopedia of Statistical Science, 2011

Numerical Methods for Stochastic Differential Equations.
Proceedings of the International Encyclopedia of Statistical Science, 2011

Efficient price sensitivity estimation of financial derivatives by weak derivatives.
Monte Carlo Methods Appl., 2011

The exponential integrator scheme for stochastic partial differential equations: Pathwise error bounds.
J. Comput. Appl. Math., 2011

Multilevel Monte Carlo for stochastic differential equations with additive fractional noise.
Ann. Oper. Res., 2011

2010
Dynamics of Modified predator-prey Models.
Int. J. Bifurc. Chaos, 2010

Recent Developments in Dynamical Systems: Three Perspectives.
Int. J. Bifurc. Chaos, 2010

2009
Pathwise approximation of stochastic differential equations on domains: higher order convergence rates without global Lipschitz coefficients.
Numerische Mathematik, 2009

2007
The Pathwise Convergence of Approximation Schemes for Stochastic Differential Equations.
LMS J. Comput. Math., 2007

2006
Synchronization of a Stochastic Reaction-Diffusion System on a Thin Two-Layer Domain.
SIAM J. Math. Anal., 2006

Higher order numerical approximation of switching systems.
Syst. Control. Lett., 2006

2005
Numerical methods for nonlinear stochastic differential equations with jumps.
Numerische Mathematik, 2005

Bifurcations and Continuous Transitions of attractors in Autonomous and nonautonomous Systems.
Int. J. Bifurc. Chaos, 2005

2002
Numerical Schemes of Higher Order for a Class of Nonlinear Control Systems.
Proceedings of the Numerical Methods and Applications, 5th International Conference, 2002

2001
Higher order numerical schemes for affinely controlled nonlinear systems.
Numerische Mathematik, 2001

1998
Spikes, broken planes and the approximation of convex fuzzy sets.
Fuzzy Sets Syst., 1998

1997
Nonautonomous systems, cocycle attractors and variable time-step discretization.
Numer. Algorithms, 1997

Absolute retracts and a general fixed point theorem for fuzzy sets.
Fuzzy Sets Syst., 1997

1995
On the Fragmentary Complexity of Symbolic Sequences.
Theor. Comput. Sci., 1995

1993
Numerical Modeling of Toroidal Dynamical Systems with Invariant Lebesgue Measure.
Complex Syst., 1993

Stochastic versus fuzzy approaches to multiobjective mathematical programming under uncertainty : Roman Slowinski and Jacques Teghem.
Autom., 1993


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