Spectral Methods for Time-Dependent Problems
By Jan Hesthaven,
Sigal Gottlieb and
David Gottlieb.
Cambridge University Press, 2007.
ISBN 0-521-79211-8.
Corrections:
(the correction links are not yet up, I hope to have them here soon)
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Page 16:
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),
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Page 144:
In example 8.9, the polynomial of degree (N-1) satisfies
the equation at the collocation points j=1, . . ., N-1 and satisfies the
boundary condition.
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Page 155:
The summation at the bottom of the page should be |n| > N/2.
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Page 189:
The eigenvalues for the Fourier-Galerkin
first derivative operator are all imaginary and should be
(-i N/2, . . . , -i, 0 , i, . . . , i N/2).