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Numerical Approximation to Multivariate Functions Using Fluctuationlessness Theorem with a Trigonometric Basis Function to Deal with Highly Oscillatory Functions

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2009

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WORLD SCIENTIFIC AND ENGINEERING ACAD AND SOC

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Abstract

Recently developed Fluctuation Free Matrix Representation Method can be used in approximating the integrals appearing in the multiple remainder terms of the Multivariate Taylor Expansion. This provides us with a new numerical approximation method for multivariate functions. In this work a trigonometric basis set, rather than a polynomial one is chosen in order to deal with highly oscillatory functions.

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Multivariate Functions, Fluctuationlessness Theorem, Numerical Approximation, Explicit Remainder Term, Taylor Expansion, Trigonometric Basis Set, INTEGRATION

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https://hdl.handle.net/11424/224781

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