A class of sparse spectral operators for inversion of powers of the Laplacian in \(N\) dimensions

DOI10.1023/A:1025658404257zbMath0908.65102OpenAlexW1572814814MaRDI QIDQ1387814

Glenn R. Ierley

Publication date: 4 March 1999

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1025658404257

zbMATH Keywords

Chebyshev polynomialsnumerical examplesbiharmonic equationPoisson equationspectral methodLegendre polynomialsinversion of powers of the Laplacian

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) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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