Analysis and application of multiple-precision computation and round-off error for nonlinear dynamical systems

被引：1

作者：

Pengfei Wang

Gang Huang

Zaizhi Wang

机构：

[1] Chinese Academy of Sciences,State Key Laboratory of Numerical Modeling for Atmospheric Sciences and Geophysical Fluid Dynamics (LASG), Institute of Atmospheric Physics

[2] National Climate Center,undefined

来源：

Advances in Atmospheric Sciences | 2006年 / 23卷

关键词：

multiple-precision numerical calculation; round-off error; nonlinear dynamical system;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This research reveals the dependency of floating point computation in nonlinear dynamical systems on machine precision and step-size by applying a multiple-precision approach in the Lorenz nonlinear equations. The paper also demonstrates the procedures for obtaining a real numerical solution in the Lorenz system with long-time integration and a new multiple-precision-based approach used to identify the maximum effective computation time (MECT) and optimal step-size (OS). In addition, the authors introduce how to analyze round-off error in a long-time integration in some typical cases of nonlinear systems and present its approximate estimate expression.

引用

页码：758 / 766

页数：8

共 16 条

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