Accurately Model the Kuramoto--Sivashinsky Dynamics with Holistic Discretization

DOI10.1137/050627733zbMath1210.37063arXivmath/0506562OpenAlexW2019066499MaRDI QIDQ5309746

T. MacKenzie, Anthony Roberts

Publication date: 2 October 2007

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0506562

zbMATH Keywords

low-dimensional modelingmultiscale modelingKuramoto--Sivashinsky equationcomputational discretizations

Mathematics Subject Classification ID

Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Special approximation methods (nonlinear Galerkin, etc.) for infinite-dimensional dissipative dynamical systems (37L65) Approximation methods and numerical treatment of dynamical systems (37M99)

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Mean asymptotic behavior for stochastic Kuramoto–Sivashinshy equation in Bochner spaces ⋮ Choose inter-element coupling to preserve self-adjoint dynamics in multiscale modelling and computation ⋮ Resolution of subgrid microscale interactions enhances the discretisation of nonautonomous partial differential equations ⋮ A dynamical systems approach to simulating macroscale spatial dynamics in multiple dimensions

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