Variational collocation on finite intervals

Details Variational collocation on finite intervals Variational collocation on finite intervals

2006-08-08

arxiv.org/abs/quant-ph/0608069v1

Physics

Quantum Physics

12 pages, 8 figures, 1 table

Scientific paper

10.1088/1751-8113/40/43/013

In this paper we study a new family of sinc--like functions, defined on an interval of finite width. These functions, which we call ``little sinc'', are orthogonal and share many of the properties of the sinc functions. We show that the little sinc functions supplemented with a variational approach enable one to obtain accurate results for a variety of problems. We apply them to the interpolation of functions on finite domain and to the solution of the Schr\"odinger equation, and compare the performance of present approach with others.

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