基于泰勒级数的数值积分法

IF 1.1 Q3 COMPUTER SCIENCE, THEORY & METHODS

Open Computer Science Pub Date : 2020-12-17 DOI:10.1515/comp-2020-0163

Petr Veigend, Gabriela Necasová, Václav Šátek

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引用次数: 2

摘要

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。

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Taylor Series Based Numerical Integration Method

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.

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来源期刊

Open Computer Science COMPUTER SCIENCE, THEORY & METHODS-

CiteScore

4.00

自引率

0.00%

发文量

审稿时长

25 weeks