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Implement Lubich convolution quadratures #16

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@alexfikl alexfikl commented Jul 11, 2023

This fixes the convolution quadratures (hopefully).

TODO:

  • Fix using the convolution weights to compute a RL integral.
    • Should be able to integrate $1$ (an overwhelmingly smooth function) to the specified order.
  • Fix using the starting weights to correct a RL integral.
    • Should be able to integrate something less smooth at the origin as well.
  • Implement the $p$-BDF methods from https://doi.org/10.1137/0517050.

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