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Implicit Runge–Kutta Methods for Lipschitz Continuous Ordinary Differential Equations

✍ Scribed by Chen, Xiaojun; Mahmoud, Sayed


Book ID
118190166
Publisher
Society for Industrial and Applied Mathematics
Year
2008
Tongue
English
Weight
283 KB
Volume
46
Category
Article
ISSN
0036-1429

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Three new Runge-Kutta methods are presented for numerical integration of systems of linear inhomogeneous ordinary differential equations (ODEs) with constant coefficients. Such ODEs arise in the numerical solution of partial differential equations governing linear wave phenomena. The restriction to