The Asymptotic Eigenvalues of First-Order Spectral Differentiation Matrices

@inproceedings{Wang2014TheAE,
  title={The Asymptotic Eigenvalues of First-Order Spectral Differentiation Matrices},
  author={Jue Wang and Fabian Waleffe},
  year={2014}
}
We complete and extend the asymptotic analysis of the spectrum of Jacobi Tau approximations that were first considered by Dubiner. The asymptotic formulas for Jacobi polynomials N P ( , ) , , 1 > − α β α β are derived and confirmed by numerical approximations. More accurate results for the slowest decaying mode are obtained. We explain where the large… CONTINUE READING