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Spectral methods for problems in complex geometries. (English) Zbl 0476.65078


MSC:

65N35 Spectral, collocation and related methods for boundary value problems involving PDEs
35K05 Heat equation
76D10 Boundary-layer theory, separation and reattachment, higher-order effects
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[1] Gottlieb, D.; Orszag, S. A., Numerical Analysis of Spectral Methods, (NSF-CBMS Monograph No. 26 (1977), Soc. Ind. and Appl. Math: Soc. Ind. and Appl. Math Philadelphia) · Zbl 0561.76076
[2] Majda, A.; McDonough, J.; Osher, S., Math. Comput., 32, 1041 (1978) · Zbl 0393.65039
[3] Orszag, S. A., Stud. Appl. Math., 50, 293 (1971) · Zbl 0237.76012
[5] Orszag, S. A.; Israeli, M., Ann. Rev. Fluid Mech., 6, 281 (1974) · Zbl 0295.76016
[6] Gear, C. W., Numerical Initial Value Problems in Ordinary Differential Equations (1971), Prentice-Hall: Prentice-Hall Englewood Cliffs, N.J · Zbl 0217.21701
[7] Oliger, J., Math. Comput., 28, 15 (1974) · Zbl 0284.65074
[9] Thompson, J. F.; Thames, F. C.; Mastin, C. W., J. Comput. Phys., 15, 299 (1974) · Zbl 0283.76011
[10] Varga, R. S., Matrix Iterative Analysis (1962), Prentice-Hall: Prentice-Hall Englewood Cliffs, N.J · Zbl 0133.08602
[11] Hestenes, M. R.; Stiefel, E., J. Res. Nat. Bur. Stand., 49, 409 (1952) · Zbl 0048.09901
[12] D’Yakonov, E. G., Dokl. Akad. Nauk SSSR, 138, 522 (1961)
[13] Keller, H. B.; Cebeci, T., (Proceedings, Second Intl. Conf. on Num. Meth. in Fluid Dynamics (1971), Springer-Verlag: Springer-Verlag Berlin), 92
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