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


Baykara N. A. , GÜRVİT E., Demiralp M.

11th International Conference on Mathematical Methods and Computational Techniques in Electrical Engineering/Applied Computing Conference 2009, Vouliagmeni, Greece, 28 - 30 September 2009, pp.394-395 identifier

  • Publication Type: Conference Paper / Full Text
  • City: Vouliagmeni
  • Country: Greece
  • Page Numbers: pp.394-395

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.