Runge-Kutta collocation methods for differential-algebraic equations of indices 2 and 3 |
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Authors: | L M Skvortsov |
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Institution: | 1. Bauman State Technical University, Vtoraya Baumanskaya ul. 5, Moscow, 105005, Russia
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Abstract: | Stiffly accurate Runge-Kutta collocation methods with explicit first stage are examined. The parameters of these methods are chosen so as to minimize the errors in the solutions to differential-algebraic equations of indices 2 and 3. This construction results in methods for solving such equations that are superior to the available Runge-Kutta methods. |
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