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Explicit concomitance of implicit method to solve vibration equation

โœ Scribed by Changqing Li, Lizhong Jiang

Book ID
113090652
Publisher
Institute of Engineering Mechanics, China Earthquake Administration
Year
2012
Tongue
English
Weight
367 KB
Volume
11
Category
Article
ISSN
1671-3664

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When the s-stage fully implicit Runge}Kutta (RK) method is used to solve a system of n ordinary di!erential equations (ODE) the resulting algebraic system has a dimension ns. Its solution by Gauss elimination is expensive and requires 2sn/3 operations. In this paper we present an e$cient algorithm,