Research and comparison on the method of determining the nonlinearity of univariate function

DOI

10.2991/icmea-17.2018.33How to use a DOI?

Keywords

stochastic analysis; nonlinearity; univariate function; point estimate; orthogonal polynomial

Abstract

In the analysis of stochastic system, the nonlinearity of function has an important influence on the accuracy and efficiency, but the corresponding researches are very scarce. In this paper, two kinds of methods are put forward to determine the nonlinearity of the univariate function. Firstly, the nonlinearity of the univariate function is defined based on the difference of numerical integration; secondly, the first method gets the nonlinearity of the univariate function via the number of the computing nodes based on point estimate while it is determined by the order of the response function based on orthogonal polynomial in the second method. Finally, the two methods were compared by a number of examples, the results show that both of the two methods can accurately get the nonlinearity of the univariate function, the first method is easier to get while the second method has higher efficiency.

Copyright

© 2018, 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  - Qingbin Zhang
AU  - Wei Shen
AU  - Wenliang Fan
AU  - Xiaomeng Xie
PY  - 2018/02
DA  - 2018/02
TI  - Research and comparison on the method of determining the nonlinearity of univariate function
BT  - Proceedings of the 4th Annual International Conference on Material Engineering and Application (ICMEA 2017)
PB  - Atlantis Press
SP  - 144
EP  - 147
SN  - 2352-5401
UR  - https://doi.org/10.2991/icmea-17.2018.33
DO  - 10.2991/icmea-17.2018.33
ID  - Zhang2018/02
ER  -