Convergence of spectral method in time for Burgers' equation

DOI10.1007/BF02025886zbMath0911.65093MaRDI QIDQ1387607

Shengchang Wu, Xiaoqing Liu

Publication date: 16 May 1999

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

zbMATH Keywords

convergencespectral methodBurger's equationChebyshev approximationsFourier-Galerkin approximations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70)

Related Items (7)

Space-time spectral method for a weakly singular parabolic partial integro-differential equation on irregular domains ⋮ A Legendre spectral method in time for first-order hyperbolic equations ⋮ Fully spectral collocation method for nonlinear parabolic partial integro-differential equations ⋮ Stability and convergence analysis of fully discrete Fourier collocation spectral method for 3-D viscous Burgers' equation ⋮ A space-time spectral method for solving the nonlinear Klein-Gordon equation ⋮ Legendre spectral collocation in space and time for PDEs ⋮ Linearly implicit variable step-size BDF schemes with Fourier pseudospectral approximation for incompressible Navier-Stokes equations

Cites Work

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• Analysis of the combined finite element and Fourier interpolation
• Spectral methods in time for a class of parabolic partial differential equations
• Spectral Methods for Initial Boundary Value Problems—An Alternative Approach

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