Peter E. Kloeden

Computational Theory and Mathematics · 1992–2018

A researcher in the Science corpus: 34 papers; trusts 37 researchers and is trusted by 56 researchers here, as inferred from the citation graph.

Subfields

• Computational Theory and Mathematics — 49 citations into it; #1,583 of 12,182 by trust here, #1,047 by citations
• Finance — 49 citations into it; #1,302 of 10,518 by trust here, #1,586 by citations
• Control and Systems Engineering — 46 citations into it; #485 of 8,257 by trust here, #359 by citations
• Mathematical Physics — 34 citations into it
• Numerical Analysis — 32 citations into it; #1,129 of 3,586 by trust here, #1,968 by citations
• Applied Mathematics — 30 citations into it; #2,342 of 7,620 by trust here, #1,958 by citations
• Computational Mechanics — 18 citations into it; #2,457 of 10,001 by trust here, #3,763 by citations
• Computer Networks and Communications — 18 citations into it; #1,602 of 9,886 by trust here, #1,912 by citations

Whom Peter E. Kloeden trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Arnulf Jentzen
2. Tomás Caraballo
3. Vladimir V. Chepyzhov
4. Desmond John Higham
5. Erika Hausenblas
6. Paul Glasserman
7. István Gyöngy
8. L. Arnold
9. Mark I. Vishik
10. Eckhard Platen

Who trusts Peter E. Kloeden overall

1. Arnulf Jentzen
2. Bixiang Wang
3. Mikhail Chernov
4. Tomás Caraballo
5. Gabriel J. Lord
6. Xuerong Mao
7. Suzanne S. Lee
8. Simo Särkkä
9. Roland Keunings
10. Christos H. Skiadas

Papers from Peter E. Kloeden's perspective

Ordered by how strongly the researchers Peter E. Kloeden trusts endorse each paper. Same corpus, a different order for every researcher.

1. Multilevel Monte Carlo Path Simulation (Operational Research)
2. Stochastic equations in infinite dimensions
3. Ergodicity for SDEs and approximations: locally Lipschitz vector fields and degenerate noise
4. Attractors for Equations of Mathematical Physics
5. LINEAR-IMPLICIT STRONG SCHEMES FOR ITO-GALKERIN APPROXIMATIONS OF STOCHASTIC PDES
6. Stochastic Equations in Infinite Dimensions
7. ON THE UPPER SEMICONTINUITY OF COCYCLE ATTRACTORS FOR NON-AUTONOMOUS AND RANDOM DYNAMICAL SYSTEMS
8. PULLBACK ATTRACTORS OF NONAUTONOMOUS SEMIDYNAMICAL SYSTEMS
9. Monte Carlo Methods in Financial Engineering
10. Exact rates of convergeance for a branching particle approximation to the solution of the Zakai equation

Their papers

• PULLBACK ATTRACTORS OF NONAUTONOMOUS SEMIDYNAMICAL SYSTEMS (2003) — 68 citations
• Exponentially Stable Stationary Solutions for Stochastic Evolution Equations and Their Perturbation (2004) — 238 citations
• The Numerical Approximation of Stochastic Partial Differential Equations (2009) — 174 citations
• Flattening, squeezing and the existence of random attractors (2007) — 230 citations
• Strong convergence of an explicit numerical method for SDEs with nonglobally Lipschitz continuous coefficients (2010) — 490 citations
• Strong convergence rates for backward Euler on a class of nonlinear jump-diffusion problems (2007) — 87 citations
• Discretization of Stationary Solutions of Stochastic Systems Driven by Fractional Brownian Motion (2009) — 58 citations
• Stochastic Differential Equations with Nonlocal Sample Dependence (2010) — 52 citations
• Pathwise upper semi-continuity of random pullback attractors along the time axis (2018) — 51 citations
• Asymptotically autonomous multivalued Cauchy problems with spatially variable exponents (2017) — 58 citations
• Random Ordinary Differential Equations and Their Numerical Solution (2017) — 119 citations
• Asymptotic separation between solutions of Caputo fractional stochastic differential equations (2017) — 82 citations
• Asymptotic behavior of stochastic lattice systems with a Caputo fractional time derivative (2016) — 50 citations
• Attractors of asymptotically autonomous quasi-linear parabolic equation with spatially variable exponents (2015) — 63 citations
• The Milstein Scheme for Stochastic Delay Differential Equations Without Using Anticipative Calculus (2012) — 55 citations
• Nonautonomous Dynamical Systems (2011) — 338 citations
• Taylor Approximations for Stochastic Partial Differential Equations (2011) — 152 citations
• TAYLOR EXPANSIONS OF SOLUTIONS OF STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS WITH ADDITIVE NOISE (2010) — 67 citations
• Pullback attractors for a semilinear heat equation on time-varying domains ✩ (2009) — 60 citations
• Strong and weak divergence in finite time of Euler's method for stochastic differential equations with non-globally Lipschitz continuous coefficients (2009) — 504 citations