Implicit Interval Methods for Solving the Initial Value Problem |
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| Authors: | Andrzej Marciniak |
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| Institution: | 1. Poznan University of Technology, Institute of Computing Science, ul. Piotrowo 3a, 60-965, Poznan, Poland, and
2. Adam Mickiewicz University, Faculty of Mathematics and Computer Science, ul. Umultowska 87, 61-614, Poznan, Poland
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| Abstract: | Implicit interval methods of Runge–Kutta and Adams–Moulton type for solving the initial value problem are proposed. It can be proved that the exact solution of the problem belongs to interval-solutions obtained by the considered methods. Furthermore, it is possible to estimate the widths of interval-solutions. |
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