Functional (FSBP) and RBF SBP operators of Glaubitz, Nordström, Öffner (2022)

[ranocha]

See https://arxiv.org/abs/2203.05479

@online{glaubitz2022summation,
  title={Summation-by-parts operators for general function spaces},
  author={Glaubitz, Jan and Nordstr{\"o}m, Jan and {\"O}ffner, Philipp},
  year={2022},
  month={03},
  eprint={2203.05479},
  eprinttype={arxiv},
  eprintclass={math.NA}
}

and https://arxiv.org/abs/2204.03291 ("Energy-stable global radial basis function methods on summation-by-parts form")

[JoshuaLampert]

For corresponding second-derivative operators for general function spaces, see https://arxiv.org/abs/2306.16314 ("Summation-by-parts operators for general function spaces: The second derivative").

[ranocha]

See also https://arxiv.org/abs/2405.08770 (An optimization-based construction procedure for function space based summation-by-parts operators on arbitrary grids)

[ranocha]

There is some code online at https://github.com/phioeffn/SBP-Construction. However, it doesn't have a license, so we cannot do anything with it (and should avoid looking at it at all...)