Numerical simulation of stochastic replicator models in catalyzed RNA-like polymers

DOI10.1016/j.matcom.2009.04.018zbMath1173.82387OpenAlexW1971365889MaRDI QIDQ730885

Mostafa Zahri, Andreas Rößler, Mohammed Seaid

Publication date: 1 October 2009

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2009.04.018

zbMATH Keywords

method of linesreaction-diffusion equationsadditive noisestochastic Runge-Kutta schemesstochastic replicator models

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Statistical mechanics of polymers (82D60) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical solutions to stochastic differential and integral equations (65C30)

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Cites Work

• Wick-stochastic finite element solution of reaction-diffusion problems
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• Advances in artificial life. Third European conference on artificial life, Granada, Spain, June 4-6, 1995. Proceedings
• Second order Runge-Kutta methods for Stratonovich stochastic differential equations
• Runge-Kutta methods for Itô stochastic differential equations with scalar noise
• Stabilisation of linear PDEs by Stratonovich noise
• Rooted Tree Analysis for Order Conditions of Stochastic Runge-Kutta Methods for the Weak Approximation of Stochastic Differential Equations

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