A novel class of explicit two-step Birkhoff-Hermite integrators for highly oscillatory second-order differential equations-Reference-Cited by-同舟云学术

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A novel class of explicit two-step Birkhoff-Hermite integrators for highly oscillatory second-order differential equations

Published:2021-12-06 Issue: Volume: Page:1-20
ISSN:0020-7160
Container-title:International Journal of Computer Mathematics
language:en
Short-container-title:International Journal of Computer Mathematics

Author:

Hu Xianfa¹,You Xiong²^ORCID,Fang Yonglei³^ORCID

Affiliation:

1. School of Mathematical Sciences, Qufu Normal University, Qufu, China

2. Department of Applied Mathematics, Nanjing Agricultural University, Nanjing, People's Republic of China

3. School of Mathematics and Statistics, Zaozhuang University, Zaozhuang, People's Republic of China

Funder

National Natural Science Foundation of China

Natural Science Foundation of Shandong Province

Foundation of Innovative Science and Technology for Youth in Universities of Shandong Province

Publisher

Informa UK Limited

Subject

Applied Mathematics,Computational Theory and Mathematics,Computer Science Applications

Link

https://www.tandfonline.com/doi/pdf/10.1080/00207160.2021.2008916

Reference26 articles.

1. Numerical Methods for Ordinary Differential Equations

2. On the existence of Hermite-Birkhoff quadrature formulas of Gaussian type

3. A trigonometrically fitted explicit Numerov-type method for second-order initial value problems with oscillating solutions

4. A new pair of explicit ARKN methods for the numerical integration of general perturbed oscillators

5. Explicit pseudo two-step exponential Runge–Kutta methods for the numerical integration of first-order differential equations

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