New constructions of piecewise-constant wavelets.
Hur, Youngmi, Ron, Amos (2006)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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Displaying similar documents to “Multidimensional smoothing using hyperbolic interpolatory wavelets.”
New constructions of piecewise-constant wavelets.
Error controlled regularization by projection.
Dahmen, Wolfgang, Jürgens, Markus (2006)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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Stable multiresolution analysis on triangles for surface compression.
Maes, Jan, Bultheel, Adhemar (2006)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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Discrete wavelet transforms accelerated sparse preconditioners for dense boundary element systems.
Chen, Ke (1999)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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Piecewise linear wavelet collocation, approximation of the boundary manifold, and quadrature.
Ehrich, S., Rathsfeld, A. (2001)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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On multiscale denoising of spherical functions: basic theory and numerical aspects.
Freeden, W., Maier, T. (2002)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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Comparing multilevel coarsening strategies.
Sprengel, Frauke (2002)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
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On the exact values of coefficients of coiflets
Dana Černá, Václav Finěk, Karel Najzar (2008)
Open Mathematics
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In 1989, R. Coifman suggested the design of orthonormal wavelet systems with vanishing moments for both scaling and wavelet functions. They were first constructed by I. Daubechies [15, 16], and she named them coiflets. In this paper, we propose a system of necessary conditions which is redundant free and simpler than the known system due to the elimination of some quadratic conditions, thus the construction of coiflets is simplified and enables us to find the exact values of the scaling...
Recent developments in wavelet methods for the solution of PDE's
Silvia Bertoluzza (2005)
Bollettino dell'Unione Matematica Italiana
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After reviewing some of the properties of wavelet bases, and in particular the property of characterisation of function spaces via wavelet coefficients, we describe two new approaches to, respectively, stabilisation of numerically unstable PDE's and to non linear (adaptive) solution of PDE's, which are made possible by these properties.