一类Schrdinger方程的反问题及其变分同化方法  

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

作　　者：张瑰[1] 张梅[2] 方涵先[3] 刘希强[1] 

机构地区：[1]解放军理工大学理学院,江苏南京211101 [2]南京农业大学理学院,江苏南京210095 [3]解放军理工大学气象学院,江苏南京211101

出　　处：《南京师大学报（自然科学版）》2012年第2期24-28,共5页Journal of Nanjing Normal University(Natural Science Edition)

基　　金：国家自然科学基金(41105012,40906044);解放军理工大学预研基金(20110510)

摘　　要：主要讨论一类Schrdinger方程的反问题,利用变分同化方法,给出了最速下降的迭代格式,通过已知的观测值对模式的初值和未知点源进行最优修正.文中不仅给出了反问题的收敛格式,还进行了数值计算,其结果与理论结果吻合.The inverse problem of Schroedinger 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 Schroedinger equations was obtained, and the theoretical results were in good agreement with the experimental results.

关 键 词：Schrdinger方程 反问题 变分同化 迭代 

分 类 号：O241[理学—计算数学]