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http://dx.doi.org/10.5666/KMJ.2015.55.2.301

Error Control Strategy in Error Correction Methods  

KIM, PHILSU (Department of Mathematics, Kyungpook National University)
BU, SUNYOUNG (Institute for Mathematical Convergence, Kyungpook National University)
Publication Information
Kyungpook Mathematical Journal / v.55, no.2, 2015 , pp. 301-311 More about this Journal
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].
Keywords
Error Correction Method; Runge-Kutta method; Error control; Local truncation error; Well-conditioned problem;
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Times Cited By KSCI : 1  (Citation Analysis)
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