Well-conditioned spectral discretizations of the biharmonic operator

DOI10.1080/00207169308804201zbMath0797.65088OpenAlexW2082343342MaRDI QIDQ4285650

Muhammad Ali Awan, Timothy N. Phillips

Publication date: 17 March 1994

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169308804201

zbMATH Keywords

convergencenumerical resultsChebyshev polynomialscondition numberbiharmonic equationspectral tau method

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for higher-order elliptic equations (35J40) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Related Items (1)

Efficient multi-dimensional solution of PDEs using Chebyshev spectral methods

Uses Software

• NAG

Cites Work

• Unnamed Item
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• Spectral collocation methods for Stokes flow in contraction geometries and unbounded domains
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• Spectral methods for problems in complex geometries
• Matched eigenfunction expansions for slow flow over a slot
• Conforming Chebyshev Spectral Collocation Methods for the Solution of Laminar flow in a Constricted Channel
• Singular Matched Eigenfunction Expansions for Stokes Flow around a Corner
• A Note on the Eigenfunction Expansion for the Elastic Strip
• The free surface on a liquid filling a trench heated from its side
• The stick-slip problem for a round jet

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