Numerical Solution of a Nonlinear Dissipative System Using a Pseudospectral Method and Inertial Manifolds

DOI10.1137/0916060zbMath0833.65087OpenAlexW1983786109MaRDI QIDQ4852590

Ronnie Wallace, David M. Sloan

Publication date: 14 March 1996

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/19e88d8fbd3d66b27ba706bc08a6fde4b24d9c1d

zbMATH Keywords

collocation methodpseudospectral methodGalerkin methodsinertial manifoldsKuramoto-Sivashinskynonlinear dissipative system

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Related Items (4)

A finite difference scheme for computing inertial manifolds ⋮ Fourier collocation splittings for partial differential equations ⋮ Bifurcations of finite difference schemes and their approximate inertial forms ⋮ An approximate inertial manifolds approach to postprocessing the Galerkin method for the Navier-Stokes equations

Uses Software

• AUTO-86

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