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Mathematics of Computation

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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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Keywords: Numerical analysis, initial-boundary value problems, LOD methods, unconditional convergence
Article copyright: © Copyright 1992 American Mathematical Society

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