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Stability analysis and integration of the viscous equations of motion.


Authors: L. Filler and H. F. Ludloff
Journal: Math. Comp. 15 (1961), 261-274
MSC: Primary 65.67
DOI: https://doi.org/10.1090/S0025-5718-1961-0129556-7
MathSciNet review: 0129556
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References [Enhancements On Off] (What's this?)

  • [1] R. Courant & K. O. Friedrichs, Supersonic Flow and Shock Waves, Interscience Publishers, Inc., New York, 1948. MR 0029615 (10:637c)
  • [2] G. G. O'Brien, M. A. Hyman & S. Kaplan, ``A study of the numerical solution of partial differential equations,'' J. Math. Phys., v. 29, 1951, p. 223-251. MR 0040805 (12:751e)
  • [3] R. Courant, E. Isaacson & M. Rees, ``On the solution of non-linear hyperbolic equations by finite differences,'' Comm. Pure Appl. Math., v. 5, no. 3, 1952, p. 243-255. MR 0053336 (14:756e)
  • [4] L. Filler, H. F. Ludloff & P. Truenfels, ``A useful method for integrating the time-dependent, viscous equations of motion,'' J. Aero. Sci., v. 24, 1957, p. 147.
  • [5] Peter D. Lax, ``Weak solutions of non-linear hyperbolic equations and their numerical computation,'' Comm. Pure Appl. Math., v. 7, no. 1, 1954, p. 159-193. MR 0066040 (16:524g)

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DOI: https://doi.org/10.1090/S0025-5718-1961-0129556-7
Article copyright: © Copyright 1961 American Mathematical Society

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