《A generalized scheme for BSDEs based on derivative approximation and its
error estimates》
---
作者:
Chol-Kyu Pak, Mun-Chol Kim, O Hun
---
最新提交年份:
2018
---
英文摘要:
In this paper we propose a generalized numerical scheme for backward stochastic differential equations(BSDEs). The scheme is based on approximation of derivatives via Lagrange interpolation. By changing the distribution of sample points used for interpolation, one can get various numerical schemes with different stability and convergence order. We present a condition for the distribution of sample points to guarantee the convergence of the scheme.
---
中文摘要:
本文提出了一种求解倒向随机微分方程(BSDE)的广义数值格式。该方案基于拉格朗日插值逼近导数。通过改变用于插值的样本点的分布,可以得到具有不同稳定性和收敛阶的各种数值格式。我们给出了样本点分布的条件,以保证方案的收敛性。
---
分类信息:
一级分类:Mathematics 数学
二级分类:Numerical Analysis 数值分析
分类描述:Numerical algorithms for problems in analysis and algebra, scientific computation
分析和代数问题的数值算法,科学计算
--
一级分类:Mathematics 数学
二级分类:Probability 概率
分类描述:Theory and applications of probability and stochastic processes: e.g. central limit theorems, large deviations, stochastic differential equations, models from statistical mechanics, queuing theory
概率论与随机过程的理论与应用:例如中心极限定理,大偏差,随机微分方程,统计力学模型,排队论
--
一级分类:Quantitative Finance 数量金融学
二级分类:Mathematical Finance 数学金融学
分类描述:Mathematical and analytical methods of finance, including stochastic, probabilistic and functional analysis, algebraic, geometric and other methods
金融的数学和分析方法,包括随机、概率和泛函分析、代数、几何和其他方法
--
---
PDF下载:
-->