Fixed-Point Implementation of Extrapolation ODE Solvers

被引：0

作者：

Tutueva, Aleksandra ^{[1
]}

Andreev, Valery ^{[1
]}

Karimov, Timur ^{[1
]}

Kopets, Ekaterina ^{[2
]}

Khalyasmaa, Alexandra ^{[3
]}

机构：

[1] St Petersburg Electrotech Univ LETI, Dept Comp Aided Design, St Petersburg, Russia

[2] St Petersburg Electrotech Univ LETI, Youth Res Inst, St Petersburg, Russia

[3] Ural Fed Univ, Automated Elect Syst Dept, Ekaterinburg, Russia

来源：

2019 URAL SYMPOSIUM ON BIOMEDICAL ENGINEERING, RADIOELECTRONICS AND INFORMATION TECHNOLOGY (USBEREIT) | 2019年

关键词：

ordinary differential equations; stepsize control; extrapolation methods; chaotic system; fixed-point arithmetic;

D O I：

10.1109/usbereit.2019.8736599

中图分类号：

R318 [生物医学工程];

学科分类号：

0831 ;

摘要：

In this paper we propose the fixed-point implementation of extrapolation ODE solvers with adaptive stepsize. We show the applicability of the given approach for solving nonlinear differential equations through the simulation of the chaotic Halvorsen system. The experimental part of the study considers the analysis of local truncation error and integration step variation for floating-point and fixed-point solvers with different machine word length. It is revealed that with equal parameters fixed-point ODE solvers can achieve greater accuracy than floating-point solvers for the same bit length.

引用

页码：310 / 312

页数：3

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