Variational collocation on finite intervals

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.

12 pages, 8 figures, 1 table

References in corpus (4)

• A variational sinc collocation method for strong-coupling problems
• Fast Evaluation of Feynman Diagrams
• A new approximation method for time-dependent problems in quantum mechanics
• A new representation for non--local operators and path integrals

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