Project:numerical

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 …

konstantin-petrovich-lovetskiy

An Effective Stable Numerical Method for Integrating Highly Oscillating Functions with a Linear Phase

A practical and simple stable method for calculating Fourier integrals is proposed, effective both at low and at high frequencies. An approach based on the fruitful idea of Levin, …

leonid-antonovich-sevastianov

A new algorithm used the Chebyshev pseudospectral method to solve the nonlinear second-order Lienard differential equations

This article presents a numerical method to determine the approximate solutions of the Lienard equations. It is assumed that the second-order nonlinear Linard differential …

le-anh-nhat

Statistically significant performance testing of Julia scientific programming language

In this article, we compare the support for SIMD instructions for Julia and Fortran. The comparison is carried out according to the methodology described in work of T. Kalibera, R. …

migran-nelsonovich-gevorkyan

Statistically Significant Comparative Performance Testing of Julia and Fortran Languages in Case of Runge–Kutta Methods

In this paper we compare the performance of classical Runge–Kutta methods implemented in Fortran and Julia languages. We use the technique described in technical report by Tomas …

migran-nelsonovich-gevorkyan