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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2015.1
- 수록면
- 301 - 311 (11page)
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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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참고문헌 (12)
참고문헌 신청
C. Johnson / 1988 / Error estimates and adaptive time-step control for a class of one-step methods for stiff ordinary differential equations / SIAM J. Numer. Anal 25 (4) : 90
E. Hairer. / 1996 / Solving ordinary differential equations. II Stiff and Differential-Algebraic Problems / Springer Series in Computational Mathematics
G. Y. Kulikov / 2012 / Global Error Control in Adaptive Nordsieck Methods / SIAM J. Sci. Comput. 34 (2) : A839 ~ A860
H. Ramos / 2007 / A non-standard explicit integration scheme for initial-value problems / Appl. Math. Comp 189 (1) : 710 ~ 718
K. E. Atkinson / 1989 / An introduction to numerical analysis / John Wiley & Sons, Inc
E. Hairer. / 1996 / Solving ordinary differential equations. II Stiff and Differential-Algebraic Problems / Springer Series in Computational Mathematics
G. Y. Kulikov / 2012 / Global Error Control in Adaptive Nordsieck Methods / SIAM J. Sci. Comput. 34 (2) : A839 ~ A860
H. Ramos / 2007 / A non-standard explicit integration scheme for initial-value problems / Appl. Math. Comp 189 (1) : 710 ~ 718
K. E. Atkinson / 1989 / An introduction to numerical analysis / John Wiley & Sons, Inc
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