Non-uniform multiresolution analysis with supercompact multiwavelets

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摘要

This work is devoted to a generalization of the framework presented in Beam and Warming (2000) [6], where a multiresolution analysis scheme with supercompact multiwavelets was presented. The approach considers uniform partitions of a nested grid hierarchy in the framework of Harten’s multi-scale representations. In this paper we study the non-uniform case. The non-uniform analysis is well adapted to more realistic contexts and makes it possible to improve the approximation.

论文关键词:Multiresolution analysis,Multiwavelets,Non-uniform grids

论文评审过程:Received 22 January 2008, Revised 1 February 2010, Available online 9 June 2010.

论文官网地址:https://doi.org/10.1016/j.cam.2010.05.013