Numerical Integration of Highly Oscillatory Functions with and without Stationary Points

This paper proposes an original approach to calculating integrals of rapidly oscillating functions, based on Levin’s algorithm, which reduces the search for an anti-derivative function to solve an ODE with a complex coefficient. The direct solution of the differential equation is based on the method...

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Bibliographic Details
Main Authors: Konstantin P. Lovetskiy, Leonid A. Sevastianov, Michal Hnatič, Dmitry S. Kulyabov
Format: Article
Language:English
Published: MDPI AG 2024-01-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/12/2/307