Paolo Amore et al 2009 J. Phys. A: Math. Theor. 42 115302 doi:10.1088/1751-8113/42/11/115302
Paolo Amore1, Francisco M Fernández2, Ricardo A Sáenz1 and Koen Salvo1
Show affiliationsIn this paper we derive four sets of sinc-like functions, defined on a finite interval and obeying different boundary conditions. The functions in each set are orthogonal and their nodes are uniformly distributed on the interval. We have applied each set to solve a large class of eigenvalue equations, with different boundary conditions, both on finite intervals and on the real line, showing that precise numerical results can be obtained efficiently and rapidly. A comparison with results available in the literature is also performed.
15A18 Eigenvalues, singular values, and eigenvectors
81R15 Operator algebra methods (See also 46Lxx, 81T05)
Issue 11 (20 March 2009)
Received 6 October 2008, in final form 22 January 2009
Published 23 February 2009
Paolo Amore et al 2009 J. Phys. A: Math. Theor. 42 115302
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