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Stability of explicit time dependent treatment of hyperbolic boundary problems

  • J. Smolderen
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 41)

Keywords

Unstable Mode Fourier Mode Boundary Mode Finite Difference Equation Linear Algebraic System 
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References

  1. 1.
    O'BRIEN, G.G., HYMAN, M.A. and KAPLAN, S.: A study of the numerical solution of partial differential equations. J. Math.and Phys., Vol. 29, 1950, pp 223–251.Google Scholar
  2. 2.
    GODUNOV, S.K. and RYABENKII, V.S.: Special stability criteria for boundary condition problems for non self-adjoint finite difference equations. Uspekhi Mat.Mauk. Vol. 18, 1969, p. 3.Google Scholar
  3. 3.
    KREISS, H.O.: Boundary conditions for difference approximations of hyperbolic differential equations. in Advances in numerical fluid dynamics, AGARD Lecture Series No 64, 1973.Google Scholar
  4. 4.
    MORETTI, G.: The importance of boundary conditions in the numerical treatment of hyperbolic equations. Brooklyn Polytechnic Institute, PIBAL Report No 68-34, 1968.Google Scholar

Copyright information

© Springer Verlag 1975

Authors and Affiliations

  • J. Smolderen
    • 1
  1. 1.von Karman Institute for Fluid Dynamics Rhode St GenéseBelgium

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