A survey of interval Runge-Kutta and multistep methods for solving the initial value problem

Abstract

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. © 2008 Springer-Verlag Berlin Heidelberg.