Analysis of Iterative Line Spline Collocation Methods for Elliptic Partial Differential Equations

DOI10.1137/S0895479896309827zbMath0947.65122OpenAlexW2082654485MaRDI QIDQ4702283

Apostolos Hadjidimos, Elias N. Houstis, John R. Rice, E. A. Vavalis

Publication date: 24 November 1999

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0895479896309827

zbMATH Keywords

convergencenumerical examplessuccessive overrelaxationspline collocationJacobi iteration matrix

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) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Iterative numerical methods for linear systems (65F10)

Related Items (7)

Modified nodal cubic spline collocation for elliptic equations ⋮ Optimal alternating direction implicit preconditioners for conjugate gradient methods ⋮ Modified nodal cubic spline collocation for three-dimensional variable coefficient second-order partial differential equations ⋮ ADI Methods for Cubic Spline Collocation Discretizations of Elliptic PDE ⋮ Orthogonal spline collocation methods for partial differential equations ⋮ Analysis on eigenvalues for preconditioning cubic spline collocation method of elliptic equations ⋮ An ADI Petrov-Galerkin method with quadrature for parabolic problems

This page was built for publication: Analysis of Iterative Line Spline Collocation Methods for Elliptic Partial Differential Equations