Stability of the Chebyshev collocation approximation to the advection- diffusion equation

DOI10.1016/0045-7930(93)90019-6zbMath0779.76072OpenAlexW1977473067MaRDI QIDQ1308919

A. Mofid, Roger Peyret

Publication date: 7 December 1993

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7930(93)90019-6

zbMATH Keywords

boundary conditionspenalty techniqueassociated advection problemsassociated eigenvalues

Mathematics Subject Classification ID

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) Diffusion and convection (76R99)

Related Items

Stability estimates based on numerical ranges with an application to a spectral method, Stability of Spectral Collocation Schemes with Explicit-Implicit-Null Time-Marching for ConvectionDiffusion and Convection-Dispersion Equations, Numerical modelling of advection diffusion equation using Chebyshev spectral collocation method and Laplace transform, Spectral Method and High-Order Finite Differences for the Nonlinear Cable Equation, Spectral method based on nonclassical basis functions: The advection-diffusion equation.

Cites Work

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• Domain decomposition methods for pseudo spectral approximations. I. Second order equations in one dimension
• Resolution of downstream boundary layers in the Chebyshev approximation to viscous flow problems
• The Spectrum of the Chebyshev Collocation Operator for the Heat Equation
• A New Method of Imposing Boundary Conditions in Pseudospectral Approximations of Hyperbolic Equations
• A Chebyshev collocation method for the Navier-Stokes equations with application to double-diffusive convection