Error Control Strategy in Error Correction Methods

• Journal title : Kyungpook mathematical journal
• Volume 55, Issue 2,  2015, pp.301-311
• Publisher : Department of Mathematics, Kyungpook National University
• DOI : 10.5666/KMJ.2015.55.2.301
Title & Authors
Error Control Strategy in Error Correction Methods
KIM, PHILSU; BU, SUNYOUNG;

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;
Language
English
Cited by
1.
An Error Embedded Runge-Kutta Method for Initial Value Problems,;;;

Kyungpook mathematical journal, 2016. vol.56. 2, pp.311-327
1.
An Error Embedded Runge-Kutta Method for Initial Value Problems, Kyungpook mathematical journal, 2016, 56, 2, 311
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