BIT Numerical Mathematics

, Volume 47, Issue 4, pp 699–713

Sinc-based computations of eigenvalues of Dirac systems


DOI: 10.1007/s10543-007-0154-8

Cite this article as:
Annaby, M. & Tharwat, M. Bit Numer Math (2007) 47: 699. doi:10.1007/s10543-007-0154-8


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.

Key words

Dirac systemseigenvalue problems with eigenparameter in the boundary conditionssinc methods

Copyright information

© Springer Science + Business Media B.V. 2007

Authors and Affiliations

  1. 1.Department of Mathematics & PhysicsQatar UniversityDohaQatar
  2. 2.Department of MathematicsBeni Suef UniversityBeni SuefEgypt