Fourier Matrix Decomposition Methods for the Least Squares Solution of Singular Neumann and Periodic Hermite Bicubic Collocation Problems

DOI10.1137/0916027zbMath0818.65102OpenAlexW2092907619MaRDI QIDQ4763751

Karin A. Remington, Bernard Bialecki

Publication date: 15 August 1995

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

Full work available at URL: https://doi.org/10.1137/0916027

zbMATH Keywords

numerical results fast Fourier transform error bounds parallel computing periodic boundary conditions Poisson equation least squares solution matrix decomposition Neumann conditions fast direct solvers orthogonal spline collocation

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Error bounds for boundary value problems involving PDEs (65N15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Parallel numerical computation (65Y05) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (7)

ADI+MDA orthogonal spline collocation for the pressure Poisson reformulation of the Navier-Stokes equation in two space variables ⋮ Matrix decomposition algorithms for elliptic boundary value problems: A survey ⋮ Orthogonal Spline Collocation for Poisson’S Equation with Neumann Boundary Conditions ⋮ Orthogonal spline collocation methods for partial differential equations ⋮ A high-order fast direct solver for singular Poisson equations ⋮ Almost block diagonal linear systems: sequential and parallel solution techniques, and applications ⋮ How to compute the minimum norm least squares solution of singular linear system by using the preconditioned HSS method?

Uses Software

COLROW

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