A fast adaptive wavelet collocation algorithm for multidimensional PDEs
type: Item
instance of: scholarly article
title: A fast adaptive wavelet collocation algorithm for multidimensional PDEs
zbMATH Open document ID: 0887.65116
author: Oleg V. Vasilyev
author: Samuel Paolucci
published in: Journal of Computational Physics
publication date: 1998-04-27T00:00:00Z
review text: A fast multilevel wavelet collocation method for partial differential equations (PDEs) in multiple dimensions is considered. The computational cost is proportional to the total number of collocation points. By adaptive refinements high resolution is achieved also in regions where singularities or sharp transitions (shocks) accur. By numerical results it is demonstrated that the method has advantages compared to established numerical methods.
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 35L67
Mathematics Subject Classification ID: 65N55
Mathematics Subject Classification ID: 65N50
zbMATH DE Number: 1110126
zbMATH Keywords: numerical examples
zbMATH Keywords: multilevel wavelet collocation method
zbMATH Keywords: adaptive refinements
zbMATH Keywords: singularities
zbMATH Keywords: shocks
reviewed by: Wilhelm Heinrichs
MaRDI profile type: Publication
OpenAlex ID: W2030638095
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DOI: 10.1006/JCPH.1997.5814
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description: scientific article; zbMATH DE number 1110126