On the Iterative Solution of Hermite Collocation Equations

DOI10.1137/S089547989224230XzbMath0821.65069OpenAlexW2054832564MaRDI QIDQ4325691

Elias N. Houstis, Apostolos Hadjidimos, Yu-Ling Lai, John R. Rice

Publication date: 3 April 1995

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

Full work available at URL: https://doi.org/10.1137/s089547989224230x

zbMATH Keywords

convergencecollocation methoditerative methodsuccessive overrelaxationPoisson equation

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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (6)

A generalized Schwarz splitting method based on Hermite collocation for elliptic boundary value problems ⋮ Eigenvalue analysis of a block Red-Black Gauss-Seidel preconditioner applied to the Hermite collocation discretization of Poisson's equation ⋮ Orthogonal spline collocation methods for partial differential equations ⋮ Analysis of a block red-black preconditioner applied to the Hermite collocation discretization of a model parabolic equation ⋮ Iterative solution of elliptic collocation systems on a cognitive parallel computer ⋮ Multi-parameterized Schwarz alternating methods for elliptic boundary value problems.

Uses Software

• Unnamed Item
• Unnamed Item

This page was built for publication: On the Iterative Solution of Hermite Collocation Equations