On a Posteriori Error Bounds of Trapezoidal Rule

Bum Il Hong, Intae Ryoo, Gon Khang

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In this paper, we discuss the average case setting and the probabilistic setting of composite Trapezoidal rule assuming that the class of integrand on an interval [0], [1] is equipped with a variant of the r-fold wiener measure based on the a finite number of function values for numerical integration. Moreover, we compute a posteriori bounds on the error of Trapezoidal rule from a probabilistic point of view. This a new a posteriori error bound is better than a bound that is commonly used in practice.

Original languageEnglish
Title of host publication33rd International Conference on Information Networking, ICOIN 2019
PublisherIEEE Computer Society
Pages342-344
Number of pages3
ISBN (Electronic)9781538683507
DOIs
Publication statusPublished - 17 May 2019
Event33rd International Conference on Information Networking, ICOIN 2019 - Kuala Lumpur, Malaysia
Duration: 9 Jan 201911 Jan 2019

Publication series

NameInternational Conference on Information Networking
Volume2019-January
ISSN (Print)1976-7684

Conference

Conference33rd International Conference on Information Networking, ICOIN 2019
Country/TerritoryMalaysia
CityKuala Lumpur
Period9/01/1911/01/19

Keywords

  • Problem setting
  • Trapezoidal rule
  • Wiener measure
  • a posteriori error bound

Fingerprint

Dive into the research topics of 'On a Posteriori Error Bounds of Trapezoidal Rule'. Together they form a unique fingerprint.

Cite this