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Book Information

Author(s): Roger Peyret and Thomas D. Taylor
Title: Computational methods for fluid flow
Additional book information: Springer Series in Computational Physics, Springer-Verlag, New York, 1983, x + 358 pp., $42.50. ISBN 0-3871-1147-6

1.: F. Bauer, P. Garabedian and D. Korn. Supercritical wing sections, Springer, 1972.
2.: J. T. Beale and A. J. Majda, Vortex methods. I convergences in three dimensions, Math. Comp. 39 (1982), 1. MR 658212
3.: J. T. Beale and A. J. Majda, Vortex methods. II higher order accuracy in two and three dimensions, Math. Comp. 39 (1982), 29. MR 658213
4.: A. J. Chorin, Numerical study of slightly viscous flow, J. Fluid Mech. 57 (1973), 785. MR 395483
5.: A. J. Chorin, Random choice solution of hyperbolic systems, J. Comput. Phys. 22 (1976), 517. MR 471342
6.: A. J. Chorin, Vortex models and boundary layer instability, SIAM J. Sci. Statist. Comput. 1 (1980), 1. MR 572539
7.: A. J. Chorin, The evolution of a turbulent vortex, Comm. Math. Phys. 83 (1982), 517. MR 649815
8.: P. Colella, Glimm's method for gas dynamics, SIAM J. Sci. Statist. Comput. 3 (1982), 76. MR 651869
9.: R. Courant, K. O. Friedrichs and H. Lewy, Über die partiellen differenzengleichungen der mathematischen physik, Math. Ann. 100 (1928), 32. MR 1512478
10.: A. F. Ghoniem, A. J. Chorin and A. K. Oppenheim, Numerical modelling of turbulent flow in a combustion tunnel, Philos. Trans. Roy. Soc. London A 304 (1982), 303.
11.: J. Glimm, Solutions in the large for nonlinear hyperbolic systems of equations, Comm. Pure Appl. Math. 18 (1965), 697. MR 194770
12.: D. Gottlieb and S. Orszag, Numerical analysis of spectral methods, SIAM Publications, 1977.
13.: O. H. Hald, Convergence of vortex methods for Euler's equations, SIAM J. Numer. Anal. 16 (1979), 726. MR 543965
14.: M. Holt, Numerical methods in fluid mechanics, Springer, New York, 1980.
15.: P. D. Lax, Weak solutions of nonlinear hyperbolic equations and their numerical computation, Comm. Pure Appl. Math. 7 (1954), 159. MR 66040
16.: P. D. Lax and B. Wendroff, Systems of conservation laws, Comm. Pure Appl. Math. 13 (1960), 363. MR 120774
17.: T. P. Liu, The deterministic version of the Glimm scheme, Comm. Math. Phys. 57 (1977), 135. MR 470508
18.: L. Richardson, Weather prediction by numerical process, Cambridge, 1922.
19.: R. D. Richtmyer and K. W. Morton, Difference methods for initial value problems, Interscience, New York, 1967. MR 220455
20.: F. Thomasset, Implementation of finite element methods for Navier-Stokes equations, Springer, New York, 1982. MR 720192
21.: M. Van Dyke, An album of fluid motion, Parabolic Press, Stanford, 1982.
22.: N. J. Zabusky and M. D. Kruskal, Interactions of solitons in a collisionless plasma and the recurrence of initial states, Phys. Rev. Lett. 15 (1965), 240.
23.: Proc. Sixth AIAA Computational Fluid Dynamics Conf., Danvers, Mass., 1983.

Review Information:
Journal: Bull. Amer. Math. Soc. 9 (1983), 368-372.
DOI: 10.1090/S0273-0979-1983-15213-8
PII: S 0273-0979(1983)15213-8

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ISSN 1088-9485(e) ISSN 0273-0979(p)

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