Analysis of Chebyshev Collocation Methods for Parabolic Equations

DOI10.1137/0723077zbMath0618.65111OpenAlexW1982852196WikidataQ56996724 ScholiaQ56996724MaRDI QIDQ4728175

Nicoletta Bressan, Alfio M. Quarteroni

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1137/0723077

zbMATH Keywords

convergencecollocation methodheat equationfast Fourier transformunconditional stabilitysmooth solutionsadvection-diffusion equationpseudospectral Chebyshev methodOptimal order of convergencefinite difference theta methodSobolev-regularity

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Reaction-diffusion equations (35K57) Error bounds for boundary value problems involving PDEs (65N15) Heat equation (35K05)

Related Items (8)

Analysis of Chebyshev pseudospectral method for multi-dimensional generalized SRLW equations ⋮ Domain decomposition techniques using spectral methods ⋮ Direct and inverse problems for a 2D heat equation with a Dirichlet-Neumann-Wentzell boundary condition ⋮ Stability of Spectral Collocation Schemes with Explicit-Implicit-Null Time-Marching for ConvectionDiffusion and Convection-Dispersion Equations ⋮ A Chebyshev pseudospectral multidomain method for the soliton solution of coupled nonlinear Schrödinger equations ⋮ Particle-method solution of two-dimensional convection-diffusion equations ⋮ An implicit/explicit spectral method for Burgers' equation ⋮ A novel numerical scheme for a time fractional Black-Scholes equation

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