evaluation of the coefficients for PDE solving by wavelet-Galerkin approximation.
Popovici, Constantin I. (2010)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Displaying similar documents to “Shape functions and wavelets - tools of numerical approximation”
evaluation of the coefficients for PDE solving by wavelet-Galerkin approximation.
Comparison of wavelet approximation order in different smoothness spaces.
Islam, M.R., Ahemmed, S.F., Rahman, S.M.A. (2006)
International Journal of Mathematics and Mathematical Sciences
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Embedding and a priori wavelet-adaptivity for Dirichlet problems
Andreas Rieder (2000)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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Adaptive convex optimization in Banach spaces: a multilevel approach
Claudio Canuto (2003)
Bollettino dell'Unione Matematica Italiana
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This is mainly a review paper, concerned with some applications of the concept of Nonlinear Approximation to adaptive convex minimization. At first, we recall the basic ideas and we compare linear to nonlinear approximation for three relevant families of bases used in practice: Fourier bases, finite element bases, wavelet bases. Next, we show how nonlinear approximation can be used to design rigorously justified and optimally efficient adaptive methods to solve abstract minimization...
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.
Application of periodized harmonic wavelets towards solution of eigenvalue problems for integral equations.
Cattani, Carlo, Kudreyko, Aleksey (2010)
Mathematical Problems in Engineering
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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...