Error Analysis for Designed Test and Numerical Integral by Using UED in Material Research

Abstract

In this article, the error analysis for designed test and definite integral in employing uniform experimental design is analogically developed on basis of midpoint rule in rectangle method for assessing definite integral through conducting discretized sampling approximately. It concluded that the discrete sampling-point by means of good lattice point in the evaluations of definite integral and maximum value of a function is promised with higher accuracy, and the predicted entire error of this uniform sampling point method for above problems decreases with the number of sampling points significantly.

Keywords

• definite integral
• error analysis
• midpoint rule
• rectangle method
• uniform experimental design