Application of the Regularization Strategy in Solving Numerical Differentiation for Function with Error

DOI

10.2991/ame-16.2016.194How to use a DOI?

Keywords

Noisy function, Exact function, Differentiation, Regularization strategy, Regularization parameter.

Abstract

In many practical problems, it is sometimes necessary to evaluate the derivative of function whose values are given approximately. Firstly, the problem of estimating the derivative of a function observed with error is studied. It presents a proper regularization strategy and explain how to choose regularization parameter. Secondly, the regularization strategy above to the numerical differentiation is applied and discussed in the implementation of the numerical method and the tests which it has performed in order to investigate the accuracy and stability of the numerical differentiation procedure. Finally, some numerical examples will further illustrate that this method is reasonable, effective and reasonable.

Copyright

© 2016, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Xian-Zhou Guo
AU  - Xiang-Mei Zhang
PY  - 2016/06
DA  - 2016/06
TI  - Application of the Regularization Strategy in Solving Numerical Differentiation for Function with Error
BT  - Proceedings of the 2nd Annual International Conference on Advanced Material Engineering (AME 2016)
PB  - Atlantis Press
SP  - 1187
EP  - 1192
SN  - 2352-5401
UR  - https://doi.org/10.2991/ame-16.2016.194
DO  - 10.2991/ame-16.2016.194
ID  - Guo2016/06
ER  -