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
  • Istanbul Technical University Affiliated: Yes


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.