Nonlinear Galerkin Method Using Chebyshev and Legendre Polynomials I. The One-Dimensional Case

DOI10.1137/0732007zbMath0819.35008OpenAlexW1970843247MaRDI QIDQ4326868

Jie Shen, Roger M. Temam

Publication date: 27 March 1995

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0732007

zbMATH Keywords

nonlinear Galerkin methodLegendre polynomialChebyshev polynomial

Mathematics Subject Classification ID

Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Numerical solutions to equations with nonlinear operators (65J15) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (7)

CHOICE OF A BASIS TO SOLVE THE LANE-EMDEN EQUATION ⋮ Stability and convergence analysis of fully discrete Fourier collocation spectral method for 3-D viscous Burgers' equation ⋮ IMD based nonlinear Galerkin method. ⋮ An enhanced pseudospectral Chebyshev method for dissipative partial differential equations ⋮ Nonlinear Galerkin methods for a system of PDEs with Turing instabilities ⋮ Convergence analysis of the Chebyshev-Legendre spectral method for a class of Fredholm fractional integro-differential equations ⋮ The spectral method for the flow between two concentric rotating spheres. II: The full discrete nonlinear Legendre-Galerkin method

This page was built for publication: Nonlinear Galerkin Method Using Chebyshev and Legendre Polynomials I. The One-Dimensional Case