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Stability analysis for initial-boundary value problems

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Numerical Methods

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1005))

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References

  1. Gustafsson B.: The convergence rate for difference approximations to mixed initial boundary value problems. Math. Comp. Vol 29, No 130 (1975).

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  2. Gustafsson B., Kreiss H.-O., Sundström A.: A stability theory of difference approximations for mixed initial boundary value problems II. Math. Comp. Vol 26, No 119 (1972).

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  3. Kreiss H.-O.: Stability theory for difference approximations for mixed initial boundary value problems I. Math. Comp. Vol 22 (1968).

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  4. Michelson D.: Stability theory of difference approximations for multidimensional initial-boundary value problems. To be published in Math. Comp.

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  5. Osher S.: Stability of difference approximations of dissipative type for mixed initial-boundary value problems I. Math. Comp. Vol 23 (1969).

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  6. Osher S.: Stability of parabolic difference approximations to certain mixed initial boundary value problems. Math. Comp. Vol 26, No 117 (1972).

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  7. Strikwerda J.: Initial boundary value problems for the method of lines. J. Comp. Phys. Vol 34 (1980).

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  8. Varah J.: Stability of difference approximations to the mixed initial boundary value problems for parabolic systems. SIAM J. Numer. Anal. Vol 8 (1971).

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Authors
  1. Bertil Gustafsson
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© 1983 Springer-Verlag

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Gustafsson, B. (1983). Stability analysis for initial-boundary value problems. In: Numerical Methods. Lecture Notes in Mathematics, vol 1005. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0112530

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  • DOI: https://doi.org/10.1007/BFb0112530

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12334-7

  • Online ISBN: 978-3-540-40967-0

  • eBook Packages: Springer Book Archive

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