Multiscale adaptive processing for evolution equations

A. Cohen
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A. Cohen: Université Pierre et Marie Curie, Laboratoire J.-L. Lions

A chapter in Numerical Mathematics and Advanced Applications, 2003, pp 605-629 from Springer

Abstract: Summary We propose a multiresolution processing strategy which applies to general classes of discretization schemes for evolution equations. The goal of this processing is to reduce significantly the CPU cost and the memory space of the scheme, by making it adaptive, while preserving its order of accuracy. This strategy can be viewed as a combination of the adaptive mesh refinement (AMR) and multiresolution adaptive flux evaluation methods.

Keywords: Prediction Operator; Adaptive Grid; Finite Volume Scheme; Adaptive Mesh Refinement; Haar System (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-88-470-2089-4_57

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DOI: 10.1007/978-88-470-2089-4_57

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