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求积元法在金融工程计算领域应用初探

杨燕曦

经济数学Issue(3):106-110,5.
经济数学Issue(3):106-110,5.

求积元法在金融工程计算领域应用初探

A Preliminary Study on the Application of QEM in Financial Engineering Analysis

杨燕曦1

作者信息

  • 1. 湖南省直党校 经济学教研室,湖南 长沙 410079
  • 折叠

摘要

Abstract

Many practical problems in modern finance can be cast into the framework of stochastic differential equations. The static 1D problem in financial engineering characterized by non-self-adjoint was examined in this paper by using the Quadra-ture Element Method (QEM)for the first time.The quadrature element for the problem mentioned above was established,and numerical results from QEM were compared with the analytic solution,FDM and FEM respectively.It is shown that high com-putational accuracy and efficiency are achieved using QEM,and this method can be further used in dynamic problem,2D prob-lem of financial engineering.

关键词

数理经济/数值方法/求积元法

Key words

Mathematical Economics/Numerical Method/Quadrature Element Method

分类

管理科学

引用本文复制引用

杨燕曦..求积元法在金融工程计算领域应用初探[J].经济数学,2015,(3):106-110,5.

经济数学

1007-1660

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