High-Order Embedded Runge-Kutta-Nystrom Formulae |
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| Authors: | DORMAND J R; EL-MIKKAWY M E A; PRINCE P J |
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| Institution: |
Numerical Computation Research Group, Departments of Computer Science and Mathematics and Statistics, Teesside Polytechnic Middlesbrough, Cleveland TS13BA, U.K.
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| Abstract: | New efficient embedded Runge-Kutta-Nystrom processes of orders8(6) and 12(10) are presented for the numerical solution ofthe special second-order differential equation y'(x) = fx,y(x)]. Test results indicate their improved efficiency relativeto other RKN formulae in current use. |
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