A note on convergence of line iterative methods for a nine-point matrix

DOI10.1016/S0893-9659(01)00164-1zbMath1020.65076OpenAlexW1974644985MaRDI QIDQ1861794

Jun Zhang, Samir Karaa

Publication date: 10 March 2003

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0893-9659(01)00164-1

zbMATH Keywords

convergencedifference schemeconvection diffusion equationfourth order compact schemeline Jacobi methodline Gauss-Seidel methodline iterative methods

Mathematics Subject Classification ID

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) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (2)

Iterative methods and high-order difference schemes for 2D elliptic problems with mixed derivative ⋮ Analysis of incomplete factorizations for a nine-point approximation to a convection-diffusion model problem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Compact high-order schemes for the Euler equations
• A compact multigrid solver for convection-diffusion equations
• Convergence of iterative methods for a fourth-order discretization scheme
• Numerical simulation of 2D square driven cavity using fourth-order compact finite difference schemes
• Compact \(h^ 4\) finite-difference approximations to operators of Navier- Stokes type
• Block iterative methods for the nine-point approximation to the convection-diffusion equation
• A single cell high order scheme for the convection-diffusion equation with variable coefficients
• Iterative Methods for Cyclically Reduced Non-Self-Adjoint Linear Systems
• An Analysis of Block Successive Overrelaxation for a Class of Matrices with Complex Spectra
• A compact fourth‐order finite difference scheme for the steady incompressible Navier‐Stokes equations

This page was built for publication: A note on convergence of line iterative methods for a nine-point matrix