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- R. Tirani
- Numerical Algorithms
- 2002

The object of this work is the estimate of the global error in the numerical solution of the IVP for a system of ODE's. Given a Runge–Kutta formula of order q, which yields an approximation y n to the true value y(x n ), a general, parallel method is presented, that provides a second value y n * of order q+2; the global error e n =y n −y(x n ) is then… (More)

Interpolation of high-order Runge-Kutta formulas is always theoretically possible, but in practice it is still unsatisfactory for its expensiveness. In this paper, rather than trying to improve the efficiency, we concentrate our attention to the possibility of using parallelism to improvereliability andfunctionality. Nevertheless, as we shall see, some… (More)

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