An Initial-Value Method for the Determination of Green's Functions

被引：0
|
作者：
Golberg, M. A. [1 ]
机构：
[1] Univ Nevada, Dept Math, Las Vegas, NV 89154 USA
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1973年 / 11卷 / 05期
关键词：
D O I：
10.1007/BF00935663
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
The convergence of an initial-value method for computing the Green's function of a class of second-order differential operators is established. The proof relies on an interpolation procedure which is shown to generalize the Nystrom method for Fredholm integral equations. The approximate Green's function is related to the solution of a discrete summation equation. The results of Anselone and Moore on collectively compact operators are then applied.
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页码：506 / 516
页数：11
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