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Two-step almost collocation methods for ordinary differential equations |
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| Authors: | R. D’Ambrosio M. Ferro Z. Jackiewicz B. Paternoster |
| Affiliation: | 1. Dipartimento di Matematica e Informatica, Universitá di Salerno, Fisciano, Salerno, 84084, Italy 2. Dipartimento di Matematica e Applicazioni, Universitá di Napoli - “Federico II”, 80126, Napoli, Italy 3. Department of Mathematics and Statistics, Arizona State University, Tempe, AZ, 85287, USA |
| Abstract: | A new class of two-step Runge-Kutta methods for the numerical solution of ordinary differential equations is proposed. These methods are obtained using the collocation approach by relaxing some of the collocation conditions to obtain methods with desirable stability properties. Local error estimation for these methods is also discussed. |
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