Taylor Series Based Numerical Integration Method-Reference-Cited by-同舟云学术

Taylor Series Based Numerical Integration Method

Published:2020-12-17 Issue:1 Volume:11 Page:60-69
ISSN:2299-1093
Container-title:Open Computer Science
language:en
Short-container-title:

Author:

Veigend Petr¹,Nečasová Gabriela¹,Šátek Václav²

Affiliation:

1. Brno University of Technology , Faculty of Information Technology , Božetěchova 2 , , Brno , Czech Republic

2. Brno University of Technology , Faculty of Information Technology , Božetěchova 2 , , Brno , Czech Republic ; IT4Innovations, VŠB Technical University of Ostrava , 17. listopadu 15/2172 , , Ostrava-Poruba , Czech Republic

Abstract

Abstract This article deals with a high order integration method based on the Taylor series. The paper shows many positive properties of this method on a set of technical initial value problems. These problems can be transformed into the autonomous systems of ordinary differential equations for both linear and nonlinear problems. The MATLAB implementation of the method is compared with state-of-the-art MATLAB solvers.

Publisher

Walter de Gruyter GmbH

Subject

General Computer Science

Link

https://www.degruyter.com/document/doi/10.1515/comp-2020-0163/pdf

Reference27 articles.

1. Kunovský J., Modern Taylor Series Method, Habilitation work, Faculty of Electrical Engineering and Computer Science, Brno University of Technology, 1994

2. Veigend P., Nečasová G., Šátek V., High Order Numerical Integration Method and its Applications – The First 36 Years of MTSM, in 2019 IEEE 15th International Scientific Conference on Informatics, 2019, 288–293

3. Veigend P., Nečasová G., Šátek V., Model of the telegraph line and its numerical solution, Open Computer Science, 8, in press, 2018, 1–8, https://doi.org/10.1515/comp-2018-0002

4. Kocina F., Nečasová G., Veigend P., Šátek V., Kunovský J., Parallel Solution of Higher Order Differential Equations, in 14th International Conference on High Performance Computing & Simulation, Institute of Electrical and Electronics Engineers, 2016, ISBN 978-1-5090-2088-1

5. Veigend P., Šátek V., Nečasová G., Model of the Telegraph line and its Numerical Solution, Open Computer Science, 8(1), 2018, 10–17, 10.1515/comp-2018-0002

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Nonlinear control using high-order integration method;AIP Conference Proceedings;2023