On symmetrizing the ultraspherical spectral method for self-adjoint problems

20 Mar 2019  ·  Aurentz Jared Lee, Slevinsky Richard Mikael ·

A mechanism is described to symmetrize the ultraspherical spectral method for self-adjoint problems. The resulting discretizations are symmetric and banded... An algorithm is presented for an adaptive spectral decomposition of self-adjoint operators. Several applications are explored to demonstrate the properties of the symmetrizer and the adaptive spectral decomposition. read more

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