The arithmetic mean method for solving systems of nonlinear equations in finite differences
type: Item
instance of: scholarly article
title: The arithmetic mean method for solving systems of nonlinear equations in finite differences
zbMATH Open document ID: 1148.65313
author: Emanuele Galligani
published in: Applied Mathematics and Computation
publication date: 2008-09-12T00:00:00Z
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 5342934
zbMATH Keywords: fixed-point iteration
zbMATH Keywords: splitting methods
zbMATH Keywords: nonlinear diffusion-convection problem
zbMATH Keywords: finite differences
zbMATH Keywords: nonlinear arithmetic mean method
zbMATH Keywords: convergence
zbMATH Keywords: numerical experiments
describes a project that uses: KELLEY
MaRDI profile type: Publication
full work available at URL: j.amc.2005.12.052
OpenAlex ID: W2086657749
cites work: Additive polynomial preconditions for parallel computers
cites work: Q5333460
cites work: Spectral bounds for \(\| A^{-1}\| _{\infty}\)
cites work: Group explicit iterative methods for solving large linear systems
cites work: The Solution of Two-Point Boundary Value Problems by the Alternating Group Explicit (AGE) Method
cites work: Q3849175
cites work: Q3930962
cites work: Existence and uniqueness of solutions of certain systems of algebraic equations with off-diagonal nonlinearity
cites work: A Two-Stage Iterative Method For Solving A Weakly Nonlinear Parametrized System
cites work: Q5696788
cites work: The Newton-arithmetic mean method for the solution of systems of nonlinear equations.
cites work: On solving a special class of weakly nonlinear finite-difference systems
cites work: The arithmetic mean preconditioner for multivector computers
cites work: A POLYNOMIAL PRECONDITIONER FOR BLOCK TRIDIAGONAL MATRICES
cites work: The two-stage arithmetic mean method
cites work: Condition Estimates
cites work: Matrix Analysis
cites work: Q4841246
cites work: A Constructive Proof of the Brouwer Fixed-Point Theorem and Computational Results
cites work: Q4531875
cites work: Q3126807
cites work: Convergence of parallel multisplitting iterative methods for M-matrices
cites work: Q5661059
cites work: Q5652137
cites work: Q4386703
cites work: Stability and bounds for nonlinear systems of difference and differential equations
cites work: An iterative method for large sparse linear systems on a vector computer
cites work: A parallel algorithm for solving block tridiagonal linear systems
cites work: Q4947421
DOI: 10.1016/J.AMC.2005.12.052
description: scientific article; zbMATH DE number 5342934