Symmetric Extrapolation Solvers for Ordinary Differential Equations

被引：0
|
作者：
Butusov, D. N. [1 ]
Karimov, A. I. [1 ]
Tutueva, A. V. [1 ]
机构：
[1] St Petersburg State Electrotech Univ LETI, Dept Comp Aided Design, St Petersburg, Russia
来源：
PROCEEDINGS OF THE 2016 IEEE NORTH WEST RUSSIA SECTION YOUNG RESEARCHERS IN ELECTRICAL AND ELECTRONIC ENGINEERING CONFERENCE (ELCONRUSNW) | 2016年
关键词：
semi-implicit method; symmetric integration method; extrapolation; ordinary differential equation solver; PARALLEL; ORDER;
D O I：
暂无
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
A comparison of several symmetric extrapolation methods is undertaken: Gragg-Bulirsch-Stoer (GBS) explicit midpoint rule, implicit midpoint rule, and a new semi-implicit D-method. An extrapolation ordinary differential equation solver with stepsize and order control was used for computational experiments. Several test problems were considered, including Van der Pol oscillator, chaotic Sprott C system and Brusselator. A performance of methods was compared by plotting computational costs via obtained accuracy for each method. The study showed the superior properties of semi-implicit D-methods on serial and parallel computer architecture.
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页码：162 / 167
页数：6
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