A collocation method for solving integral equations

被引：21
|
作者：
Ramm, A. G. [1 ]
机构：
[1] Kansas State Univ, Math Dept, Manhattan, KS 66506 USA
来源：
INTERNATIONAL JOURNAL OF COMPUTING SCIENCE AND MATHEMATICS | 2009年 / 2卷 / 03期
关键词：
collocation method; integral equations;
D O I：
10.1504/IJCSM.2009.027874
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A collocation method is formulated and justified for numerical solution of the Fredholm second-kind integral equations. As an application the Lippmann-Schwinger equation is considered. The results obtained provide an error estimate and a justification of the limiting procedure used in the earlier papers by the author, dealing with many-body scattering problems in the case of small scatterers, and with creating materials with a desired refraction coefficient Ramm, A.G. ' Many-body wave scattering by small bodies and applications', J. Math. Phys., Vol. 48, No. 10, 103511; Ramm, A.G. (2008) ' Wave scattering by many small particles embedded in a medium', Phys. Lett. A, Vol. 372, No. 17, (2008), pp. 3064-3070.
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页码：222 / 228
页数：7
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