Wavelet methods in numerical analysis
A Cohen - Handbook of numerical analysis, 2000 - Elsevier
Publisher Summary This chapter explains basic examples of wavelet methods in numerical
analysis. It introduces the approximations and shows show the way they are related to …
analysis. It introduces the approximations and shows show the way they are related to …
Adaptive wavelet methods II—beyond the elliptic case
This paper is concerned with the design and analysis of adaptive wavelet methods for
systems of operator equations. Its main accomplishment is to extend the range of …
systems of operator equations. Its main accomplishment is to extend the range of …
Adaptive wavelet methods for solving operator equations: an overview
R Stevenson - … , Nonlinear and Adaptive Approximation: Dedicated to …, 2009 - Springer
Abstract In [Math. Comp, 70 (2001), 27–75] and [Found. Comput. Math., 2 (3)(2002), 203–
245], Cohen, Dahmen and DeVore introduced adaptive wavelet methods for solving …
245], Cohen, Dahmen and DeVore introduced adaptive wavelet methods for solving …
The wavelet element method: part I. construction and analysis
The Wavelet Element Method (WEM) combines biorthogonal wavelet systems with the
philosophy of Spectral Element Methods in order to obtain a biorthogonal wavelet system on …
philosophy of Spectral Element Methods in order to obtain a biorthogonal wavelet system on …
Wavelets on manifolds I: Construction and domain decomposition
The potential of wavelets as a discretization tool for the numerical treatment of operator
equations hinges on the validity of norm equivalences for Besov or Sobolev spaces in terms …
equations hinges on the validity of norm equivalences for Besov or Sobolev spaces in terms …
Compression techniques for boundary integral equations---asymptotically optimal complexity estimates
Matrix compression techniques in the context of wavelet Galerkin schemes for boundary
integral equations are developed and analyzed that exhibit optimal complexity in the …
integral equations are developed and analyzed that exhibit optimal complexity in the …
[HTML][HTML] Wavelet methods for PDEs—some recent developments
W Dahmen - Journal of Computational and Applied Mathematics, 2001 - Elsevier
This paper is concerned with recent developments of wavelet schemes for the numerical
treatment of operator equations with special emphasis on two issues: adaptive solution …
treatment of operator equations with special emphasis on two issues: adaptive solution …
Adaptive solution of operator equations using wavelet frames
R Stevenson - SIAM Journal on Numerical Analysis, 2003 - SIAM
In" Adaptive wavelet methods II---Beyond the elliptic case" of Cohen, Dahmen, and DeVore
[Found. Comput. Math., 2 (2002), pp. 203--245], an adaptive method has been developed for …
[Found. Comput. Math., 2 (2002), pp. 203--245], an adaptive method has been developed for …
Biorthogonal multiwavelets on the interval: cubic Hermite splines
Starting with Hermite cubic splines as the primal multigenerator, first a dual multigenerator
on R is constructed that consists of continuous functions, has small support, and is exact of …
on R is constructed that consists of continuous functions, has small support, and is exact of …
Adaptive frame methods for elliptic operator equations
This paper is concerned with the development of adaptive numerical methods for elliptic
operator equations. We are especially interested in discretization schemes based on frames …
operator equations. We are especially interested in discretization schemes based on frames …