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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Unconditional convergence of some Crank-Nicolson LOD methods for initial-boundary value problems


Author: Willem Hundsdorfer
Journal: Math. Comp. 58 (1992), 35-53
MSC: Primary 65M12; Secondary 65M20
MathSciNet review: 1106972
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Abstract: In this paper convergence properties are discussed for some locally one-dimensional (LOD) splitting methods applied to linear parabolic initial-boundary value problems. We shall consider unconditional convergence, where both the stepsize in time and the meshwidth in space tend to zero, independently of each other.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1992-1106972-8
PII: S 0025-5718(1992)1106972-8
Keywords: Numerical analysis, initial-boundary value problems, LOD methods, unconditional convergence
Article copyright: © Copyright 1992 American Mathematical Society