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Spectral method
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== References == {{Reflist}} * Bengt Fornberg (1996) ''A Practical Guide to Pseudospectral Methods.'' Cambridge University Press, Cambridge, UK * [http://www-personal.umich.edu/~jpboyd/BOOK_Spectral2000.html Chebyshev and Fourier Spectral Methods] by John P. Boyd. * Canuto C., [[M. Yousuff Hussaini|Hussaini M. Y.]], Quarteroni A., and Zang T.A. (2006) ''Spectral Methods. Fundamentals in Single Domains.'' Springer-Verlag, Berlin Heidelberg * Javier de Frutos, Julia Novo (2000): [https://epubs.siam.org/doi/10.1137/S0036142999351984 A Spectral Element Method for the Navier–Stokes Equations with Improved Accuracy] * [http://cdm.unimo.it/home/matematica/funaro.daniele/bube.htm Polynomial Approximation of Differential Equations], by Daniele Funaro, Lecture Notes in Physics, Volume 8, Springer-Verlag, Heidelberg 1992 * D. Gottlieb and S. Orzag (1977) "Numerical Analysis of Spectral Methods : Theory and Applications", SIAM, Philadelphia, PA * J. Hesthaven, S. Gottlieb and D. Gottlieb (2007) "Spectral methods for time-dependent problems", Cambridge UP, Cambridge, UK * Steven A. Orszag (1969) ''Numerical Methods for the Simulation of Turbulence'', Phys. Fluids Supp. II, 12, 250–257 *{{Cite book | last1=Press | first1=WH | last2=Teukolsky | first2=SA | last3=Vetterling | first3=WT | last4=Flannery | first4=BP | year=2007 | title=Numerical Recipes: The Art of Scientific Computing | edition=3rd | publisher=Cambridge University Press | location=New York | isbn=978-0-521-88068-8 | chapter=Section 20.7. Spectral Methods | chapter-url=http://apps.nrbook.com/empanel/index.html#pg=1083}} * Jie Shen, Tao Tang and Li-Lian Wang (2011) "Spectral Methods: Algorithms, Analysis and Applications" (Springer Series in Computational Mathematics, V. 41, Springer), {{ISBN|354071040X}} * Lloyd N. Trefethen (2000) ''Spectral Methods in MATLAB.'' SIAM, Philadelphia, PA * Muradova A. D. (2008) "The spectral method and numerical continuation algorithm for the von Kármán problem with postbuckling behaviour of solutions", Advances in Computational Mathematics, 29, pp. 179–206, https://doi.org/10.1007/s10444-007-9050-7. * Muradova A. D. (2015) "A time spectral method for solving the nonlinear dynamic equations of a rectangular elastic plate", Journal of Engineering Mathematics, 92, pp. 83–101, https://doi.org/10.1007/s10665-014-9752-z. {{Numerical PDE}} {{Functional analysis}} {{SpectralTheory}} {{DEFAULTSORT:Spectral Method}} [[Category:Numerical analysis]] [[Category:Numerical differential equations]]
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