Gegenbauer Tau Methods With and Without Spurious Eigenvalues

@article{Charalambides2008GegenbauerTM,
  title={Gegenbauer Tau Methods With and Without Spurious Eigenvalues},
  author={Marios Charalambides and Fabian Waleffe},
  journal={SIAM J. Numerical Analysis},
  year={2008},
  volume={47},
  pages={48-68}
}
It is proven that a class of Gegenbauer tau approximations to a 4th order differential eigenvalue problem of hydrodynamic type provide real, negative and distinct eigenvalues as for the exact solutions. This class of Gegenbauer tau methods includes Chebyshev and Legendre Galerkin and ‘inviscid’ Galerkin but does not include Chebyshev and Legendre tau… CONTINUE READING