二维函数数值微分的TSVD方法

2010 Third International Joint Conference on Computational Science and Optimization Pub Date : 2010-05-28 DOI:10.1109/CSO.2010.11

Zhen-yu Zhao, C. Yue

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引用次数: 0

摘要

数值问题是一个经典的不适定问题。本文提出了二元函数数值微分的一种新方法。引入合理方程加权广义解的截断奇异值分解(TSVD)正则化方法来处理问题的病态性。我们证明了该方法可以通过离散正弦变换来实现。理论和数值结果表明，该方法是有效的。

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The TSVD Method for Numerical Differentiation of 2D Functions

Numerical is a a classical ill-posed problem. In this paper, we propose a new method for numerical differentiation of bivariate functions. The truncated singular value decomposition (TSVD)regularization approach of weighted generalized solution for reasonable equations has been introduced to deal with the ill-posed ness of the problem. We show that the method can be realized by the discrete sine transform. Theoretical and numerical results show that the method is effective.

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2010 Third International Joint Conference on Computational Science and Optimization

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