Midpoint cubic spline collocation

ID: midpoint-cubic-spline-collocation

Sampling consecutive Cardinal cubic B-splines at the centers of their supports gives diagonal values and adjacent values , with all other values zero. Finite truncation gives the displayed B-spline collocation matrix, including its endpoint rows without wrapping or adding boundary conditions. Its inverse has alternating signs. The exact inverse norm of midpoint cubic spline collocation is less than three for each finite dimension and approaches three as the dimension grows.

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