A survey of interval Runge-Kutta and multistep methods for solving the initial value problem
[ 1 ] Instytut Matematyki, Wydział Elektryczny, Politechnika Poznańska | [ 2 ] Instytut Mechaniki Stosowanej, Wydział Budowy Maszyn i Zarządzania, Politechnika Poznańska | [ 3 ] Instytut Informatyki (II), Wydział Informatyki i Zarządzania, Politechnika Poznańska | [ P ] employee
2008
paper
english
- the initial value problem
- one-step interval methods
- symplectic interval methods
- multistep interval methods
- floating-point interval arithmetic
EN The paper is dealt with a number of one– and multistep interval methods developed by our team during the last decade. We present implicit interval methods of Runge–Kutta type, interval versions of symplectic Runge–Kutta methods and interval multistep methods of Adams–Bashforth, Adams–Moulton, Nyström and Milne–Simpson types.
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