Taylor Series Based Numerical Integration Method

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2020-12-17 DOI:10.1515/comp-2020-0163

Petr Veigend, Gabriela Necasová, Václav Šátek

引用次数: 2

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.

查看原文本刊更多论文

基于泰勒级数的数值积分法

摘要本文讨论了一种基于泰勒级数的高阶积分方法。本文在一组技术初值问题上给出了该方法的许多正性质。这些问题可以转化为线性和非线性问题的常微分方程的自治系统。将该方法的MATLAB实现与最先进的MATLAB求解器进行了比较。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.