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

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 di...

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Main Authors: Maosheng Zheng, Jie Yu, Haipeng Teng, Yi Wang
Format: Article
Language:English
Published: University North 2023-01-01
Series:Tehnički Glasnik
Subjects:
Online Access:https://hrcak.srce.hr/file/434971
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author Maosheng Zheng
Jie Yu
Haipeng Teng
Yi Wang
author_facet Maosheng Zheng
Jie Yu
Haipeng Teng
Yi Wang
author_sort Maosheng Zheng
collection DOAJ
description 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.
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spelling doaj.art-8a5707b50f464109a602036326b97bda2024-04-15T18:30:00ZengUniversity NorthTehnički Glasnik1846-61681848-55882023-01-0117216717110.31803/tg-20220504103756Error Analysis for Designed Test and Numerical Integral by Using UED in Material ResearchMaosheng Zheng0Jie Yu1Haipeng Teng2Yi Wang3School of Chemical Engineering, Northwest University, Xi’an, 710069, ChinaSchool of Life Science, Northwest University, Xi’an, 710069, ChinaSchool of Chemical Engineering, Northwest University, Xi’an, 710069, ChinaSchool of Chemical Engineering, Northwest University, Xi’an, 710069, ChinaIn 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.https://hrcak.srce.hr/file/434971definite integralerror analysismidpoint rulerectangle methoduniform experimental design
spellingShingle Maosheng Zheng
Jie Yu
Haipeng Teng
Yi Wang
Error Analysis for Designed Test and Numerical Integral by Using UED in Material Research
Tehnički Glasnik
definite integral
error analysis
midpoint rule
rectangle method
uniform experimental design
title Error Analysis for Designed Test and Numerical Integral by Using UED in Material Research
title_full Error Analysis for Designed Test and Numerical Integral by Using UED in Material Research
title_fullStr Error Analysis for Designed Test and Numerical Integral by Using UED in Material Research
title_full_unstemmed Error Analysis for Designed Test and Numerical Integral by Using UED in Material Research
title_short Error Analysis for Designed Test and Numerical Integral by Using UED in Material Research
title_sort error analysis for designed test and numerical integral by using ued in material research
topic definite integral
error analysis
midpoint rule
rectangle method
uniform experimental design
url https://hrcak.srce.hr/file/434971
work_keys_str_mv AT maoshengzheng erroranalysisfordesignedtestandnumericalintegralbyusinguedinmaterialresearch
AT jieyu erroranalysisfordesignedtestandnumericalintegralbyusinguedinmaterialresearch
AT haipengteng erroranalysisfordesignedtestandnumericalintegralbyusinguedinmaterialresearch
AT yiwang erroranalysisfordesignedtestandnumericalintegralbyusinguedinmaterialresearch