A nonlinear Galerkin method: The two-level Fourier-collocation case

DOI10.1007/BF02088956zbMath0859.65111OpenAlexW2026283080MaRDI QIDQ2564210

David Gottlieb, Lucia Dettori, Roger M. Temam

Publication date: 7 January 1997

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02088956

zbMATH Keywords

nonlinear Galerkin methodBurgers equationgrid generationmultiresolution methodFourier-collocation discretization

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) 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) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Related Items (6)

Nonlinear Galerkin finite element method applied to the system of reaction-diffusion equations in one space dimension ⋮ A multilevel method for the resolution of a stochastic weakly damped nonlinear Schrödinger equation ⋮ Nonlinear Galerkin finite element methods for fourth-order bi-flux diffusion model with nonlinear reaction term ⋮ A nonlinear Galerkin method for the shallow-water equations on periodic domains ⋮ Fourier collocation splittings for partial differential equations ⋮ A nonlinear Galerkin method: The two-level Fourier-collocation case

Cites Work

• Implementation of the nonlinear Galerkin method with pseudospectral (collocation) discretizations
• On the stability of collocation methods for the two-dimensional Burgers equation: The Fourier case
• A nonlinear Galerkin method: The two-level Fourier-collocation case

This page was built for publication: A nonlinear Galerkin method: The two-level Fourier-collocation case