Efficient Spectral-Galerkin Method II. Direct Solvers of Second- and Fourth-Order Equations Using Chebyshev Polynomials

DOI10.1137/0916006zbMath0840.65113OpenAlexW2410898212MaRDI QIDQ4325703

Jie Shen

Publication date: 30 June 1996

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0916006

zbMATH Keywords

numerical examplesbiharmonic equationelliptic equationssecond-order equationfourth-order equationsdirect solversspectral-Galerkin methodsChebyshev-Galerkin methods

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Boundary value problems for second-order elliptic equations (35J25) Boundary value problems for higher-order elliptic equations (35J40) Direct numerical methods for linear systems and matrix inversion (65F05) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

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