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Convergence analysis of a finite difference scheme for a simple semi-linear hyperbolic equation

  • I. Näherungsverfahren Für Nichtlineare Anfangswertaufgaben Und Anfangsrandwertaufgaben
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Numerische Behandlung nichtlinearer Integrodifferential-und Differentialgleichungen

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 395))

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References

  1. R. Ansorge, C. Geiger und R. Hass, Existenz und numerische Erfassbarkeit verallgemeinerter Lösungen halblinearer Anfangswertaufgaben. Z. Angew. Math. Mech. 52(1972), 597–605.

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  3. Ph. Brenner and V. Thomée, Stability and convergence rates in Lp for certain difference schemes. Math. Scand. 27(1970), 5–23.

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  4. P.L. Butzer and H. Berens, Semi-Groups of Operators and Approximation. Springer-Verlag. Berlin-Heidelberg-New York, 1967.

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  8. V. Thomée, On the rate of convergence of difference schemes for hyperbolic equations. Numerical Solution of Partial Differential Equations — II. Editor B.E. Hubbard. Academic Press, New York, London 1971, 585–622.

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Authors
  1. V. Thomée
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R. Ansorge W. Törnig

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© 1974 Springer-Verlag

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Thomée, V. (1974). Convergence analysis of a finite difference scheme for a simple semi-linear hyperbolic equation. In: Ansorge, R., Törnig, W. (eds) Numerische Behandlung nichtlinearer Integrodifferential-und Differentialgleichungen. Lecture Notes in Mathematics, vol 395. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0060669

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  • DOI: https://doi.org/10.1007/BFb0060669

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06832-7

  • Online ISBN: 978-3-540-37771-9

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