Analysis and application of multiple-precision computation and round-off error for nonlinear dynamical systems
Analysis and application of multiple-precision computation and round-off error for nonlinear dynamical systems
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DOI：
10.1007/s00376-006-0758-y
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发表时间：
2006-10
影响因子：
5.8
通讯作者：
Pengfei Wang;G. Huang;Zaizhi Wang
中科院分区：
文献类型：
--
作者：
Pengfei Wang;G. Huang;Zaizhi Wang
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.
