Sinc-based computations of eigenvalues of dirac systems

被引：17
|
作者：
Annaby, M. H. [1 ]
Tharwat, M. M.
机构：
[1] Qatar Univ, Dept Math & Phys, Doha 2713, Qatar
[2] Beni Suef Univ, Dept Math, Bani Suwayf, Egypt
来源：
BIT NUMERICAL MATHEMATICS | 2007年 / 47卷 / 04期
关键词：
Dirac systems; eigenvalue problems with eigenparameter in the boundary conditions; sinc methods; PARAMETER; BOUNDARY;
D O I：
10.1007/s10543-007-0154-8
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
The celebrated classical sampling theorem is used to compute approximate values of the eigenvalues of Dirac systems with eigenvalue parameter in the boundary conditions. We deal with problems with an eigenparameter in one or two boundary conditions. The error analysis is established considering both truncation and amplitude errors associated with the sampling theorem. We indicate the role of the amplitude error as well as other parameters in the method via illustrative examples.
引用
收藏
页码：699 / 713
页数：15
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