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Stability of two-dimensional initial-boundary value problems using leap-frog type schemes


Authors: Saul Abarbanel and David Gottlieb
Journal: Math. Comp. 33 (1979), 1145-1155
MSC: Primary 65M05; Secondary 65M10
MathSciNet review: 537962
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Abstract: The paper discusses stable boundary conditions for the two-dimensional Leap-Frog scheme and the Modified Leap-Frog scheme introduced by the authors in a former work.


References [Enhancements On Off] (What's this?)

  • [1] S. ABARBANEL & D. GOTTLIEB, "A note on the leap-frog scheme in two and three dimensions," J. Computational Phys., v. 21 (3), 1976, pp. 351-355. MR 0416051 (54:4127)
  • [2] B. GUSTAFSSON, H.-O. KREISS, & A. SUNDSTRÖM, "Stability theory of difference approximations for mixed initial boundary value problems. II," Math. Comp., v. 26, 1972, pp. 649-686. MR 0341888 (49:6634)
  • [3] H. O. KREISS & J. OLIGER, Methods for the Approximate Solution of Time Dependent Problems, GARP Publications Series, No. 10, 1973.
  • [4] K. W. MORTON, "Initial-value problems by finite difference and other methods," The State of the Art in Numerical Analysis (Proc. Conf., Univ. York, Heslington, 1976), Academic Press, London, 1977, pp. 699-756. MR 0451754 (56:10036)

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Additional Information

DOI: https://doi.org/10.1090/S0025-5718-1979-0537962-5
Article copyright: © Copyright 1979 American Mathematical Society