Fast algorithms for high-order spline collocation systems

DOI10.1007/s002110050387zbMath0929.65103OpenAlexW2046703156MaRDI QIDQ1279840

K. Appert

Publication date: 2 February 2000

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002110050387

zbMATH Keywords

eigenvalue analysiselliptic partial differential equationsPoisson equationspline collocation methodsfast direct algorithms

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (6)

A fourth–order orthogonal spline collocation method for two‐dimensional Helmholtz problems with interfaces ⋮ Matrix decomposition algorithms for elliptic boundary value problems: A survey ⋮ Orthogonal spline collocation methods for partial differential equations ⋮ Analysis on eigenvalues for preconditioning cubic spline collocation method of elliptic equations ⋮ Almost block diagonal linear systems: sequential and parallel solution techniques, and applications ⋮ Matrix decomposition algorithms for the \(C^{0}\)-quadratic finite element Galerkin method

Uses Software

• ELLPACK
• COLSYS

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