Letter to the editor: Non-uniform multiresolution analysis with supercompact multiwavelets

Authors:
Sergio Amat;María Moncayo
Affiliations:
Department of Applied Mathematics and Statistics, Universidad Politécnica de Cartagena (UPCT), E-30202 Cartagena, Spain;Department of Applied Mathematics and Statistics, Universidad Politécnica de Cartagena (UPCT), E-30202 Cartagena, Spain
Venue:
Journal of Computational and Applied Mathematics
Year:
2010

Citing 3
Cited 2

A posteriori error estimates for elliptic problems in two and three space dimensions

SIAM Journal on Numerical Analysis
Adaptive wavelet methods for elliptic operator equations: convergence rates

Mathematics of Computation
Multiresolution Analysis and Supercompact Multiwavelets

SIAM Journal on Scientific Computing

Multiresolution analysis and supercompact multiwavelets for surfaces

Mathematics and Computers in Simulation
Non-uniform multiresolution analysis for surfaces and applications

Applied Numerical Mathematics

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Abstract

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.