Reliable operations on oscillatory functions

Details Reliable operations on oscillatory functions Reliable operations on oscillatory functions

1999-05-14

arxiv.org/abs/math/9905091v1

Mathematics

Numerical Analysis

20 pages with 5 figures within, welcome any comments to adamg@theor1.theory.nipne.ro

Scientific paper

10.1016/S0010-4655(99)00468-3

Approximate $p$-point Leibniz derivation formulas as well as interpolatory Simpson quadrature sums adapted to oscillatory functions are discussed. Both theoretical considerations and numerical evidence concerning the dependence of the discretization errors on the frequency parameter of the oscillatory functions show that the accuracy gain of the present formulas over those based on the exponential fitting approach [L. Ixaru, "Computer Physics Communications", 105 (1997) 1--19] is overwhelming.

Affiliated with

Also associated with

No associations

Rating

Reliable operations on oscillatory functions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Reliable operations on oscillatory functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Reliable operations on oscillatory functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-722314