Spectral Methods for Time-Dependent Problems
By Jan Hesthaven,
Sigal Gottlieb and
Cambridge University Press, 2007.
(the correction links are not yet up, I hope to have them here soon)
The last equation on the page, for the Lagrange polynomials,
should be divided by (N+1).
- Page 59:
All the summations on this page should be up to N, not (N-1),
In example 8.9, the polynomial of degree (N-1) satisfies
the equation at the collocation points j=1, . . ., N-1 and satisfies the
The summation at the bottom of the page should be |n| > N/2.
The eigenvalues for the Fourier-Galerkin
first derivative operator are all imaginary and should be
(-i N/2, . . . , -i, 0 , i, . . . , i N/2).