A note on stability of the Douglas splitting method

Open Access

1 January 1998

journal article
Published by American Mathematical Society (AMS) in Mathematics of Computation

Vol. 67 (221) , 183-190
https://doi.org/10.1090/s0025-5718-98-00914-4

Abstract

In this note some stability results are derived for the Douglas splitting method. The relevance of the theoretical results is tested for an advection-reaction equation.

Keywords

NUMERICAL ANALYSIS
INITIAL-BOUNDARY VALUE PROBLEMS
SPLITTING METHODS

This publication has 4 references indexed in Scilit:

Splitting and alternating direction methods
Published by Elsevier ,1990
An extension ofA-stability to alternating direction implicit methods
BIT Numerical Mathematics, 1979
A general formulation of alternating direction methods
Numerische Mathematik, 1964
Alternating direction methods for three space variables
Numerische Mathematik, 1962