Research on a Class of Fourth-order Rouge-Kutta Algorithm for Real-Time Simulation

DOI

10.2991/iccse-16.2016.5How to use a DOI?

Keywords

Real-time simulation, Runge-Kutta (RK) algorithm, Parametric equations, The coefficients of truncation error

Abstract

From the basic idea of the real-time Runge-Kutta (RK) algorithm, some parametric equations satisfied the general form of the real-time fourth-order RK algorithm are derived. Then the coefficients of truncation error are deduced based on the analysis for local truncation errors of real-time RK algorithm. Finally a new formula of the real-time RK algorithm is proposed according to the related equations of the stability region and truncation errors. The new algorithm formula would distinctly reduce the truncation errors for some real-time simulation questions, thus it can be applied in a extensive area.

Copyright

© 2016, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Zhen-quan Huang
AU  - Su-ying Liao
AU  - Yun He
AU  - Ai-Jun Tang
PY  - 2016/10
DA  - 2016/10
TI  - Research on a Class of Fourth-order Rouge-Kutta Algorithm for Real-Time Simulation
BT  - Proceedings of the 2016 International Conference on Computational Science and Engineering (ICCSE 2016)
PB  - Atlantis Press
SP  - 22
EP  - 26
SN  - 2352-538X
UR  - https://doi.org/10.2991/iccse-16.2016.5
DO  - 10.2991/iccse-16.2016.5
ID  - Huang2016/10
ER  -