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Error Control Strategy in Error Correction MethodsError Control Strategy in Error Correction Methods

Other Titles
Error Control Strategy in Error Correction Methods
Authors
김필수부선영
Issue Date
2015
Publisher
경북대학교 자연과학대학 수학과
Keywords
Error Correction Method; Runge-Kutta method; Error control; Local truncation error; Well-conditioned problem
Citation
Kyungpook Mathematical Journal, v.55, no.2, pp.301 - 311
Journal Title
Kyungpook Mathematical Journal
Volume
55
Number
2
Start Page
301
End Page
311
URI
https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/13935
ISSN
1225-6951
Abstract
In this paper, we present the error control techniques for the error correction methods (ECM) which is recently developed by P. Kim et al.[8, 9] We formulate the local truncation error at each time and calculate the approximated solution using the solution and the formulated truncation error at previous time for achieving uniform error bound which enables a long time simulation. Numerical results show that the error controlled ECM provides a clue to have uniform error bound for well conditioned problems [1]
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