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Superconvergence for multistep collocation

Superconvergence for multistep collocation

One-step collocation methods are known to be a subclass of implicit Runge-Kutta methods. Further, one-leg methods are special multistep one-point collocation methods. In this paper we extend both of these collocation ideas to multistep collocation methods with <italic>k</italic> previous meshpoints and <italic>m</italic> collocation points. By construction, the order is at …