Geodesic
Derivation of high-order spectral methods for time-dependent PDE using modified moments
Electronic transactions on numerical analysis, Tome 28 (2008)
This paper presents a reformulation of Krylov Subspace Spectral (KSS) Methods, which build on Gene Golub's many contributions pertaining to moments and Gaussian quadrature, to produce high-order accurate approximate solutions to variable-coefficient time-dependent PDE. This reformulation serves two useful purposes.
Classification : 65M12, 65M70, 65D32
Keywords: spectral methods, Gaussian quadrature, variable-coefficient, Lanczos method, stability, heat equation, wave equation 
@article{ETNA_2008__28__a6,
     author = {Lambers,  James V.},
     title = {Derivation of high-order spectral methods for time-dependent {PDE} using modified moments},
     journal = {Electronic transactions on numerical analysis},
     year = {2008},
     volume = {28},
     zbl = {1171.65435},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2008__28__a6/}
}
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%0 Journal Article
%A Lambers,  James V.
%T Derivation of high-order spectral methods for time-dependent PDE using modified moments
%J Electronic transactions on numerical analysis
%D 2008
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%U http://geodesic.mathdoc.fr/item/ETNA_2008__28__a6/
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%F ETNA_2008__28__a6
Lambers,  James V. Derivation of high-order spectral methods for time-dependent PDE using modified moments. Electronic transactions on numerical analysis, Tome 28 (2008). http://geodesic.mathdoc.fr/item/ETNA_2008__28__a6/