TY - JOUR
T1 - On the generation of higher order numerical integration methods using lower order Adams-Bashforth and Adams-Moulton methods
AU - Chiou, J. C.
AU - Wu, S. D.
PY - 1999/8/15
Y1 - 1999/8/15
N2 - In this paper, a new explicit numerical integration method is proposed. The proposed method is based on the relationship that m-step Adams-Moulton method is the linear convex combination of (m-1)-step Adams-Moulton and m-step Adams-Bashforth methods with a fixed weighting coefficient. By examining the order of accuracy and stability regions, we conclude that the present method is superior to the traditional Adams-Bashforth-Moulton predictor-corrector method. A simple harmonic oscillator problem is used to demonstrate the efficiency of the proposed method.
AB - In this paper, a new explicit numerical integration method is proposed. The proposed method is based on the relationship that m-step Adams-Moulton method is the linear convex combination of (m-1)-step Adams-Moulton and m-step Adams-Bashforth methods with a fixed weighting coefficient. By examining the order of accuracy and stability regions, we conclude that the present method is superior to the traditional Adams-Bashforth-Moulton predictor-corrector method. A simple harmonic oscillator problem is used to demonstrate the efficiency of the proposed method.
KW - Accuracy and stability analysis
KW - Adams-Moulton and Adams-Bashforth numerical integrator
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U2 - 10.1016/s0377-0427(99)00096-5
DO - 10.1016/s0377-0427(99)00096-5
M3 - Article
AN - SCOPUS:0032599423
SN - 0377-0427
VL - 108
SP - 19
EP - 29
JO - Journal of Computational and Applied Mathematics
JF - Journal of Computational and Applied Mathematics
IS - 1-2
ER -