Preconditioning Legendre Spectral Collocation Methods for Elliptic Problems I: Finite Difference Operators

DOI10.1137/S0036142999365060zbMath1004.65117OpenAlexW2041231713MaRDI QIDQ2719210

Seymour V. Parter

Publication date: 21 June 2001

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

Full work available at URL: https://doi.org/10.1137/s0036142999365060

zbMATH Keywords

eigenvaluespreconditioningPoisson equationLegendre-Gauss-Lobatto quadratureLegendre spectral collocationShortley-Weller difference operator

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical computation of matrix norms, conditioning, scaling (65F35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (4)

The collocation solution of Poisson problems based on approximate Fekete points ⋮ Preconditioning on high-order element methods using Chebyshev-Gauss-Lobatto nodes ⋮ On Well-Conditioned Spectral Collocation and Spectral Methods by the Integral Reformulation ⋮ Reduced collocation method for time-dependent parametrized partial differential equations

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