BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Connections between collocation and Galerkin methods Duncan, Dugald


We look at the connections between collocation methods based on B-splines basis functions in time, and Galerkin methods also using B-splines, but of lower order. The collocation method can be written as a Galerkin method applied to a modified variational problem (for bounded time interval calculations). We use results introduced by Ha Duong to bound the difference between the exact solutions (if they exist) of these two variational problems. However questions remain about how to use the Ha Duong analysis to bound the difference of the approximate solutions using Galerkin.

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