BIT Numerical Mathematics

, Volume 47, Issue 4, pp 699–713

Sinc-based computations of eigenvalues of Dirac systems

Authors

    • Department of Mathematics & PhysicsQatar University
  • M.M. Tharwat
    • Department of MathematicsBeni Suef University
Article

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

Abstract

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
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© Springer Science + Business Media B.V. 2007