Solution of nonlinear Poisson-type equations

DOI10.1016/0168-9274(91)90107-BzbMath0755.65101OpenAlexW1973391128MaRDI QIDQ1181546

B. M. Averick, James M. Ortega

Publication date: 27 June 1992

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

Full work available at URL: https://doi.org/10.1016/0168-9274(91)90107-b

zbMATH Keywords

Newton's methodnumerical examplesfinite-difference methodspreconditioned conjugate gradient methodJacobian matrixnonlinear Poisson equation

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Nonlinear boundary value problems for linear elliptic equations (35J65) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items

Newton-Krylov methods applied to a system of convection-diffusion-reaction equations ⋮ Solution of nonlinear Poisson-type equations ⋮ Higher order multi-step Jarratt-like method for solving systems of nonlinear equations: application to PDEs and ODEs ⋮ A parameterized multi-step Newton method for solving systems of nonlinear equations

Cites Work

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• Inexact Newton Methods