Adaptive Wavelet Computations for Inverses of Pseudo-Differential Operators

被引：4

作者：

Guo, Qiang ^{[1
]}

Wong, M. W. ^{[2
]}

机构：

[1] Syracuse Univ, Dept Math, Syracuse, NY 13244 USA

[2] York Univ, Dept Math & Stat, Toronto, ON M3J 1P3, Canada

来源：

PSEUDO-DIFFERENTIAL OPERATORS: ANALYSIS, APPLICATIONS AND COMPUTATIONS | 2011年 / 213卷

基金：

加拿大自然科学与工程研究理事会;

关键词：

Multiresolution analysis; scaling functions; wavelets; biorthogonal wavelets; vanishing moments; Sobolev spaces; pseudo-differential operators; Galerkin approximations; adaptive algorithms; BASES;

D O I：

10.1007/978-3-0348-0049-5_1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For invertible pseudo-differential operators T-sigma, with symbols a in S-m, m is an element of R, we use biorthogonal wavelets to develop an adaptive algorithm to compute the Galerkin approximations of the solution u in the Sobolev space H-m,H-2 of the equation T(sigma)u = f on R for every f in L-2(R).

引用

页码：1 / 14

页数：14

共 8 条

[1]

[Anonymous], 1992, CBMS-NSF Reg. Conf. Ser. in Appl. Math

[2]

Cohen Albert, 2003, Numerical Analysis of wavelet Methods. J. Studies in Mathematics and Its Applications, V32

[3] Stable multiscale bases and local error estimation for elliptic problems [J].