Iterative Line Cubic Spline Collocation Methods for Elliptic Partial Differential Equations in Several Dimensions

DOI10.1137/0914045zbMath0776.65063OpenAlexW2045360602MaRDI QIDQ4695055

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

Publication date: 20 July 1993

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

Full work available at URL: https://doi.org/10.1137/0914045

zbMATH Keywords

collocation method numerical examples tensor products iterative methods successive overrelaxation reduced wave equation block Jacobi methods smooth cubic splines

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) Iterative numerical methods for linear systems (65F10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (7)

Modified nodal cubic spline collocation for elliptic equations ⋮ High accuracy cubic spline approximation for two dimensional quasi-linear elliptic boundary value problems ⋮ Optimal alternating direction implicit preconditioners for conjugate gradient methods ⋮ Modified nodal cubic spline collocation for three-dimensional variable coefficient second-order partial differential equations ⋮ High order convergent modified nodal bi‐cubic spline collocation method for elliptic partial differential equation ⋮ ADI Methods for Cubic Spline Collocation Discretizations of Elliptic PDE ⋮ Orthogonal spline collocation methods for partial differential equations

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