Error analysis for spline collocation methods with application to knot selection
Error analysis for spline collocation methods with application to knot selection
Some collocation schemes used to solve <italic>m</italic>th order ordinary differential equations are known to display superconvergence at the mesh points. Here we show that some such schemes have additional superconvergence points for the approximate solution and all of its derivatives. Using such points, we argue that a mesh selection scheme …