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Add chebyshev interpolation - #72

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chrisba23:add-chebyshev-interpolation
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Add chebyshev interpolation#72
chrisba23 wants to merge 3 commits into
ketch:masterfrom
chrisba23:add-chebyshev-interpolation

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This PR adds a Chebyshev-Lobatto nodal representation for stability polynomials and optional interpolation constraints in RK-Opt.

  • add a Chebyshev-Lobatto interpolation representation to PolyOpt
  • formulate the order conditions directly in terms of the nodal values
  • add optional interpolation constraints to RK-Opt
  • support evaluation using the Butcher coefficients and the 3S* low-storage recursion

This work is based on my master's thesis on optimized explicit Runge-Kutta methods for multiscale problems.

I will submit the thesis in a few days and can send the PDF afterwards, either directly or through Hendrik Ranocha.

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