An integration factor method for stochastic and stiff reaction-diffusion systems

DOI10.1016/j.jcp.2015.04.028zbMath1349.65540OpenAlexW2090954108WikidataQ42128460 ScholiaQ42128460MaRDI QIDQ350089

Catherine Ta, Dongyong Wang, Qing Nie

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2015.04.028

zbMATH Keywords

patternsactivator-substrate systemIIF-Maruyamaintegration factor methodstochastic reaction-diffusion systems

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs with randomness, stochastic partial differential equations (35R60) Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs (65M75)

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Cites Work

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• Array-representation integration factor method for high-dimensional systems
• A robust and efficient method for steady state patterns in reaction-diffusion systems
• The numerical approximation of stochastic partial differential equations
• Compact integration factor methods in high spatial dimensions
• Compact integration factor methods for complex domains and adaptive mesh refinement
• An implicit Euler scheme with non-uniform time discretization for heat equations with multiplicative noise
• Higher-order implicit strong numerical schemes for stochastic differential equations
• Implicit scheme for stochastic parabolic partial differential equations driven by space-time white noise
• A family of fully implicit Milstein methods for stiff stochastic differential equations with multiplicative noise
• Approximation for semilinear stochastic evolution equations
• Efficient semi-implicit schemes for stiff systems
• An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations
• Explicit Methods for Stiff Stochastic Differential Equations
• An Introduction to Computational Stochastic PDEs
• Numerical methods for strong solutions of stochastic differential equations: an overview
• Reaction-Diffusion Model as a Framework for Understanding Biological Pattern Formation
• Overcoming the order barrier in the numerical approximation of stochastic partial differential equations with additive space–time noise
• Balanced Implicit Methods for Stiff Stochastic Systems
• Mean-Square and Asymptotic Stability of the Stochastic Theta Method
• Convergence of numerical schemes for the solution of parabolic stochastic partial differential equations
• A numerical scheme for stochastic PDEs with Gevrey regularity
• The composite Euler method for stiff stochastic differential equations
• Linear-implicit strong schemes for Itô-Galerkin approximations of stochastic PDEs

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