论文标题
欧拉方案，用于在不进行的信息下近似非线性ODE的溶液
Euler scheme for approximation of solution of nonlinear ODEs under inexact information
论文作者
论文摘要
我们研究了欧拉方案的误差，在基础颂歌的右侧函数满足诸如局部单方面Lipschitz条件和局部Hölder连续性之类的非标准假设时。此外，我们假设有关信息可用性的两种情况：相对于右侧函数的精确而嘈杂。还提供了Euler方案的最佳分析。最后，我们介绍了一些数值实验的结果。
We investigate error of the Euler scheme in the case when the right-hand side function of the underlying ODE satisfies nonstandard assumptions such as local one-sided Lipschitz condition and local Hölder continuity. Moreover, we assume two cases in regards to information availability: exact and noisy with respect to the right-hand side function. Optimality analysis of the Euler scheme is also provided. Finally, we present the results of some numerical experiments.
