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The Variational Assimilation Method of Inverse Problem for a Class of Schrdinger Equations(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2012年02期
Page:
24-28
Research Field:
数学
Publishing date:

Info

Title:
The Variational Assimilation Method of Inverse Problem for a Class of Schrdinger Equations
Author(s):
Zhang Gui1; Zhang Mei2; Fang Hanxian3; Liu Xiqiang1
1.Institute of Science,PLA University of Science and Technology,Nanjing 211101,China
Keywords:
Schrdinger equation; inverse problem; variational assimilation; iterative
PACS:
O241.6
DOI:
-
Abstract:
The inverse problem of Schrdinger equation was considered in this paper． And the fast speed iterative process was given with variational assimilation method． The initial value and unknown point sources of the model were modified with the known observations． An iteration scheme for the inverde problem of the Schrdinger equations was obtained， and the theoretical results were in good agreement with the experimental results．

References:

［1］ Gazenave T，Weissler F B． The Cauchy problem for critical nonlinear Schrdinger equation in Hs［J］． Nonlinear Analysis， TMA，1990，14: 807-836．
［2］ Wang Baoxiang． On the initial-boundary value problems for nonlinear Schrdinger equations［J］． Advances in Mathematics， 2000，29( 5) : 421-424．
［3］ Navon I M． Practical and theoretical aspects of adjoint parameter estimation and identifiablity in meteorology and oceanography ［J］． Dyn Atmos Oceans，1997，27: 55-79．
［4］ 张瑰． 一维扩散方程整体观测资料下的初值变分同化反演［J］． 海洋预报，2006，23( 21) : 34-41．
［5］ 张瑰，黄思训． 一类on-off 问题的变分同化方法的误差估计［J］． 工程数学学报，2009，26( 1) : 37-42．
［6］ Teng Jiajun，Zhang Gui． Huang Sixun． Some theoretical problems on variational data assimilation［J］． Applied Mathematics and Mechanics，2007，28( 5) : 651-663．
［7］ 方涵先，黄思训． 二维下投式探空仪反演的理论分析与数值试验［J］． 自然科学进展，2004，14( 11) : 1 257-1 264．
［8］ Zhang Gui，Li Zhenxing，Zhu Shouxian． The error estimates of predicted value of variational assimilation method for a class of Schrdinger equations［C］． Manchester: The Second International Conference on Information and Computing Science， 2009: 304-307．
［9］ Huang Sixun，Du Huadong，Han Wei． Generalized variational data assimilation method and numerical experiment for nondifferential system［J］． Appl Math Mech，2004，25( 10) : 1 160-1 165．
［10］ 张瑰，张梅． 人口模型变分同化方法的理论分析［J］． 大学数学，2004，20( 5) : 30-33．

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Last Update: 2013-03-11