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Variational collocation on finite intervals

Paolo Amore·Mayra Cervantes·Francisco M. Fernández
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Abstract

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 Schrödinger equation, and compare the performance of present approach with others.

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Paolo Amore, Mayra Cervantes, Francisco M. Fernández. 2006-08-08. Variational collocation on finite intervals. https://doi.org/10.1088/1751-8113/40/43/013

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