Convergence of Spectral Methods for Hyperbolic Initial-Boundary Value Systems

David Gottlieb, Liviu Lustman, Eitan Tadmor
1987 SIAM Journal on Numerical Analysis  
We present here a convergence proof for spectral approximations for hyperbolic systems with initial and boundary conditions. We treat in detail Chebyshev collocation, but the final result is readily applicable to other spectral methods, such as Legendre collocation or tau-methods. (I)
doi:10.1137/0724038 fatcat:6fopyyrbijcrfkvnt3vieijhhm