THE CONDITIONAL STABILITY ESTIMATE AND THE CONVERGENCE RATE ESTIMATE FOR CONTINUATION PROBLEM FOR HYPERBOLIC EQUATIONS

被引：0

作者：

Kabanikhin, S., I ^{[1
,2
]}

Nurseitova, A. T. ^{[3
]}

Shishlenin, M. A. ^{[2
,4
]}

机构：

[1] RAS, Inst Computat Math & Math Geophys, SB, Prospect Akad Lavrentjeva 6, Novosibirsk 630090, Russia

[2] Novosibirsk State Univ, Novosibirsk 630090, Russia

[3] KazNTU, Natl Open Res Lab Informat & Space Technol, Alma Ata 050013, Kazakhstan

[4] Sobolev Inst Math, Novosibirsk 630090, Russia

来源：

SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2015年 / 12卷

关键词：

hyperbolic equations; continuation problem; conditional stability estimate; convergence rate estimate;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we propose a new algorithm for numerical solution of the continuation problem for the wave equation, based on the reduction to the inverse problem and minimizing the corresponding misfit functional. The convergence rate estimate of the simple iteration method is based on the conditional stability estimate.

引用

页码：C276 / C283

页数：8

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