2014•Numerical Analysis and ApplicationsRequires access

A Grid version of a nonstandard trigonometric basis and its advantages over a similar polynomial basis

В. В. Смелов

Abstract

A grid version of a trigonometric functional basis is proposed. It is aimed at providing high-order approximation of smooth and piecewise-smooth functions. A comparative analysis of this basis and a polynomial one is done. The trigonometric version offers considerable advantages over the polynomial basis.

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Key concepts: Basis (linear algebra), Piecewise, Trigonometric polynomial, Polynomial basis, Mathematics, Basis function, Polynomial, Trigonometry