Perturbed Collocation and Runge-Kutta Methods.
S.P. Norsett, G. Wanner (1982)
Numerische Mathematik
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Displaying similar documents to “Collocation methods for differential-algebraic equations of index 3.”
Perturbed Collocation and Runge-Kutta Methods.
On Runge-Kutta, collocation and discontinuous Galerkin methods: Mutual connections and resulting consequences to the analysis
Vlasák, Miloslav, Roskovec, Filip
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Discontinuous Galerkin (DG) methods are starting to be a very popular solver for stiff ODEs. To be able to prove some more subtle properties of DG methods it can be shown that the DG method is equivalent to a specific collocation method which is in turn equivalent to an even more specific implicit Runge-Kutta (RK) method. These equivalences provide us with another interesting view on the DG method and enable us to employ well known techniques developed already for any of these methods....
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Superconvergence of Collocation Methods for Volterra and Abel Integral Equations of the Second Kind.
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