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arXiv · 1206.4954

Simulating Stochastic Inertial Manifolds by a Backward-Forward Approach

Xingye Kan·Jinqiao Duan·Ioannis G. Kevrekidis·Anthony J. Roberts
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Abstract

A numerical approach for the approximation of inertial manifolds of stochastic evolutionary equations with multiplicative noise is presented and illustrated. After splitting the stochastic evolutionary equations into a backward and a forward part, a numerical scheme is devised for solving this backward-forward stochastic system, and an ensemble of graphs representing the inertial manifold is consequently obtained. This numerical approach is tested in two illustrative examples: one is for a system of stochastic ordinary differential equations and the other is for a stochastic partial differential equation.

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Xingye Kan, Jinqiao Duan, Ioannis G. Kevrekidis, Anthony J. Roberts. 2012-06-21. Simulating Stochastic Inertial Manifolds by a Backward-Forward Approach. https://arxiv.org/abs/1206.4954

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