A Two-Stage Iterative Method For Solving A Weakly Nonlinear Parametrized System

DOI10.1080/00207160213942zbMath1016.65029OpenAlexW2099925635MaRDI QIDQ4780543

Emanuele Galligani

Publication date: 6 February 2003

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160213942

zbMATH Keywords

diffusionpositive solutionseigenvalue problemparallel computationinteracting populationsmonotone convergencemodified Newton methodweakly nonlinear systemsarithmetic mean methodnonlinear elliptic boundary-value problem

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Parallel numerical computation (65Y05) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Numerical solution of nonlinear eigenvalue and eigenvector problems (65H17) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (2)

Lagged diffusivity fixed point iteration for solving steady-state reaction diffusion problems ⋮ The arithmetic mean method for solving systems of nonlinear equations in finite differences

Cites Work

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• A parallel algorithm for solving block tridiagonal linear systems
• The two-stage arithmetic mean method
• Spatially distributed communities: The resource-consumer system
• Group explicit iterative methods for solving large linear systems
• Multi-Splittings of Matrices and Parallel Solution of Linear Systems
• The Solution of Two-Point Boundary Value Problems by the Alternating Group Explicit (AGE) Method

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