منابع مشابه
Biorthogonal Wavelets and Multigrid
We will be concerned with the solution of an elliptic boundary value problem in one dimension with polynomial coeecients. In a Galerkin approach, we employ biorthogonal wavelets adapted to a diierential operator with constant coeecients, and use the reenement equations to set up the system of linear equations with exact entries (up to round-oo). For the solution of the linear equation, we const...
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Let φ be an orthonormal scaling function with approximation degree p−1, and let Bn be the B-spline of order n. Then, spline type scaling functions defined by f̄n = f ∗Bn (n = 1, 2, . . . ) possess higher approximation order, p+n−1, and compact support. The corresponding biorthogonal wavelet functions are also constructed. This technique is extended to the case of biorthogonal scaling function sy...
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ژورنال
عنوان ژورنال: Applied and Computational Harmonic Analysis
سال: 2000
ISSN: 1063-5203
DOI: 10.1006/acha.2000.0323