Time integration of the non-linear Galerkin method

DOI10.1093/imanum/15.2.221zbMath0823.65091OpenAlexW1972678937MaRDI QIDQ4838017

Bosco García-Archilla, Javier de Frutos

Publication date: 4 July 1995

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/15.2.221

zbMATH Keywords

nonlinear Galerkin methodKuramoto-Sivashinsky equationreaction- diffusion equationpseudospectral discretizationspectral Galerkin discretizations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Reaction-diffusion equations (35K57) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

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A finite difference scheme for computing inertial manifolds ⋮ On computing the long-time solution of the two-dimensional Navier-Stokes equations ⋮ Convergence of the variable two-step BDF time discretisation of nonlinear evolution problems governed by a monotone potential operator ⋮ Nonlinear Galerkin finite element method applied to the system of reaction-diffusion equations in one space dimension ⋮ Stability and convergence of optimum spectral non-linear Galerkin methods ⋮ Nonlinear Galerkin methods for a system of PDEs with Turing instabilities ⋮ Variational approach to closure of nonlinear dynamical systems: autonomous case ⋮ An approximate inertial manifolds approach to postprocessing the Galerkin method for the Navier-Stokes equations

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