Parallel Spectral Numerical Methods/Bibliography

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{AllCah79} S.M. Allen, and J.W. Cahn, A microscopic theory for antiphase boundary motion and its applications to antiphase domain coarsening, Acta Metallurgica 27, 1085-1095, (1979).

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{CHQZ06} C. Canuto, M.Y. Hussaini, A. Quarteroni and T.A. Zang, Spectral Methods: Fundamentals in Single Domains, Springer, (2006).

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{CloMuiRig12} B. Cloutier, B.K. Muite and P. Rigge, Performance of FORTRAN and C GPU Extensions for a Benchmark Suite of Fourier Pseudospectral Algorithms Forthcoming Proceedings of the Symposium on Application Accelerators in High Performancs computing (2012) http://arxiv.org/abs/1206.3215

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{HugEtAl08} D. Hughes-Hallett, A.M. Gleason, D.E. Flath, P.F. Lock, D.O. Lomen, D. Lovelock, W.G. MacCallum, D. Mumford, B. G. Osgood, D. Quinney, K. Rhea, J. Tecosky-Feldman, T.W. Tucker, and O.K. Bretscher, A. Iovita, W. Raskind, S.P. Gordon, A. Pasquale, J.B. Thrash, Calculus, Single and Multivariable, 5th ed. Wiley, (2008)

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{HolKarLieRis10} H. Holden, K.H. Karlsen, K.-A. Lie and N.H. Risebro, Splitting Methods for Partial Differential Equations with Rough Solutions, European Mathematical Society Publishing House, Zurich, (2010).

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Roidot, K. (2011). "Numerical Study of Blowup in the Davey-Stewartson System". {{cite journal}}: Cite journal requires |journal= (help)

{KleMuiRoi11} C. Klein, B.K. Muite and K. Roidot, Numerical Study of Blowup in the Davey-Stewartson System, http://arxiv.org/abs/1112.4043

Klein, C.; Roidot, K. (2011). "Fourth order time-stepping for Kadomstev-Petviashvili and Davey-Stewartson Equations". SIAM Journal on Scientific Computation. 33: 3333–3356.

{KleRoi11} C. Klein and K. Roidot, Fourth order time-stepping for Kadomstev-Petviashvili and Davey-Stewartson Equations, SIAM Journal on Scientific Computation 33, 3333-3356, (2011).

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Laizet, S.; Lamballais, E. (2009). "High-order compact schemes for incompressible flows: A simple and efficient method with quasi-spectral accuracy". Journal of Computational Physics. 238: 5989–6015.

{LaiLam09} S. Laizet and E. Lamballais, High-order compact schemes for incompressible flows: A simple and efficient method with quasi-spectral accuracy, Journal of Computational Physics 228, 5989-6015, (2009).

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