Model Dynamics across Multiple Length and Time Scales on a Spatial Multigrid

DOI10.1137/080712349zbMath1180.65123OpenAlexW2060552952MaRDI QIDQ3653207

Anthony Roberts

Publication date: 21 December 2009

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/080712349

zbMATH Keywords

numerical examplesBurgers equationadvection-diffusionrenormalizationmultigridhierarchyslow manifold

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Transformation and reduction of functional-differential equations and systems, normal forms (34K17) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Renormalization of holomorphic dynamical systems (37F25)

Related Items (5)

Centre manifolds for stochastic evolution equations ⋮ 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 ⋮ Centre manifolds for infinite dimensional random dynamical systems

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