Lie - Trotter分裂方案全局误差的积分表达式

IF 2.2 Q1 MATHEMATICS, APPLIED

International Journal of Optimization and Control: Theories and Applications Pub Date : 2019-01-30 DOI:10.11121/ijocta.01.2019.00625

M. Seydaoğlu

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引用次数: 0

摘要

常微分方程可以分解成更简单的子方程，每个子方程随后用数值方法求解。这一过程涉及到由时间步进法应用于子方程引起的分裂误差和数值误差。本文的目的是给出与任意数值ODE求解器结合的分裂过程的全局误差展开的积分公式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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An integral formulation for the global error of Lie Trotter splitting scheme

An ordinary differential equation (ODE) can be split into simpler sub equations and each of the sub equations is solved subsequently by a numerical method. Such a procedure involves splitting error and numerical error caused by the time stepping methods applied to sub equations. The aim of the paper is to present an integral formula for the global error expansion of a splitting procedure combined with any numerical ODE solver.

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来源期刊

International Journal of Optimization and Control: Theories and Applications Mathematics-Applied Mathematics

CiteScore

3.30

自引率

6.20%

发文量

审稿时长

16 weeks