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Balanced truncation with conformal maps

In the ./code there are all the files needed to run the experiments in the paper

A. Borghi, T. Breiten, S. Gugercin, Balanced truncation with conformal maps, ArXiv preprint (2024)

Below find a list of what script to run for each single section.

Section 5.1 (Heat equation)

  • heat_equation.m (for the time trajectories)
  • heat_equationH2.m (for the H2 error)

Section 5.2 (Schroedinger equation)

  • schroedinger_equation.m (for the time trajectories)
  • schroedinger_equationH2.m (for the H2 error)

Section 5.3 (Wave equation)

  • wave_equation.m (for the time trajectories). In case this example takes too long to compute, please refer to the email of the first author in the preprint to ask for the dataset containing the Gramians.