Número:
9
Ano:
2002
Autor:
J. E. Castilho
Sônia M. Gomes
Abstract:
The study in this paper is devoted to the stability and consistence analyses of an adaptive multilevel time discretization proposed by Bacry, Mallat and Papanicolau [1]. The main idea is to evolve the components in a multirresolution representation of the numerical solution by means of na explicit algorithm, adapting the time step according to each scale level. For a model problem, and in the context of biorthogonal wavelets, it is proved tha the stability condition and consistency order are the same as in the original non-adapted scheme.
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