Adaptive approximation of nonlinear operators

被引：48

作者：

Amat, S ^{[1
]}

Busquier, S ^{[1
]}

Negra, M ^{[1
]}

机构：

[1] Ecole Generaliste Ingn, Lab Anal Topol & Probabilites, Marseille, France

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2004年 / 25卷 / 5-6期

关键词：

multiresolution; compression; nonlinear operators; Taylor's approximation;

D O I：

10.1081/NFA-200042628

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A multiresolution transform corresponding to interpolatory techniques is used for fast application of second order Taylor's approximations. In designing this algorithm we apply data compression to the linear and the bilinear forms that appear on the approximation. Analysis of the error is performed. Finally, some numerical results are presented.

引用

页码：397 / 405

页数：9

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