2 papers
math.NA2007
Gegenbauer tau methods with and without spurious eigenvalues
Marios Charalambides, Fabian Waleffe
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 i…
math.NA2006
Spectrum of the Jacobi tau approximation for the second derivative operator
Marios Charalambides, Fabian Waleffe
It is proved that the eigenvalues of the Jacobi Tau method for the second derivative operator with Dirichlet boundary conditions are real, negative and distinct for a range of the…