an:03858355
Zbl 0539.65080
Canuto, Claudio; Quarteroni, Alfio
Variational methods in the theoretical analysis of spectral approximations
EN
Spectral methods for partial differential equations, Proc. Symp., NASA Langley Res. Cent. 1982, 55-78 (1984).
1984
a
65N35 35J25
spectral methods; Stability; rates of convergence; Chebyshev pseudo- spectral approximations; variational form
Summary: [For the entire collection see Zbl 0534.00017.]
Stability and optimal rates of convergence for Chebyshev pseudo-spectral approximations are given. We consider elliptic problems with nonconstant coefficients and Dirichlet or Neumann-type boundary conditions. They are set into a variational form which satisfies the inf-sup conditions of Ne??as-Babu??ka.
Zbl 0534.00017