Alternating direction iteration for mildly nonlinear elliptic difference equations

DOI10.1007/BF01386006zbMath0115.34702OpenAlexW2040667455MaRDI QIDQ2625630

Jim jun. Douglas

Publication date: 1961

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/131478

zbMATH Keywords

numerical analysis

Related Items (16)

A correction to my paper 'Alternating direction iteration for mildly nonlinear elliptic difference equations' ⋮ On the nonlinear complementarity problem ⋮ Iterative methods for a class of complementarity problems ⋮ On the two-stage iterative method of Douglas for mildly non-linear elliptic difference equations ⋮ Numerical methods for viscous and nonviscous wave equations ⋮ Convergence analysis of the Hopmoc method ⋮ A normalised algorithm for the solution of symmetric general five-term linear systems of semi-bandwidth M ⋮ A new high accuracy locally one-dimensional scheme for the wave equation ⋮ An alternating direction (ADI) method for a self-acting rectangular gas bearing ⋮ Mildly nonlinear elliptic partial differential equations and their numerical solution. I ⋮ On the iteration, projection and projection-iteration methods in the solution of nonlinear functional equations ⋮ On improving an approximate solution of a functional equation by deferred corrections ⋮ Iterative Lösung nichtlinearer Gleichungssysteme und Diskretisierungsverfahren bei elliptischen Differentialgleichungen ⋮ Alternating direction methods for three space variables ⋮ Use of fast direct methods for mildly nonlinear elliptic difference equations ⋮ Monotone iterative methods for nonlinear equations involving a noninvertible linear part

Cites Work

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• The Numerical Solution of Parabolic and Elliptic Differential Equations
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• On the Numerical Solution of Heat Conduction Problems in Two and Three Space Variables
• A Note on the Alternating Direction Implicit Method for the Numerical Solution of Heat Flow Problems
• Implicit Alternating Direction Methods
• An Alternating-Direction-Implicit Iteration Technique
• On mildly nonlinear partial difference equations of elliptic type
• Iterative Methods for Solving Partial Difference Equations of Elliptic Type

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