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Time-discretisations for nonlinear evolution equations

Part of the Lecture Notes in Mathematics book series (LNM,volume 679)

Keywords

  • Error Estimation
  • Evolution Equation
  • Global Error
  • Nonlinear Evolution Equation
  • Linear Multistep Method

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References

  1. Dahlquist, G.: Error analysis for a class of methods for stiff non-linear initial value problems. Lecture Notes in Math.506, 60–72 (1976)

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  2. Helfrich, H.-P.: Fehlerabschätzungen für das Galerkinverfahren zur Lösung von Evolutionsgleichungen. manuscripta math. 13, 219–235 (1974)

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  3. Kato, T.: Nonlinear semigroups and evolution equations. J.Math.Soc.Japan 19, 508–520 (1967)

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  4. Kreth, H.: Ein Zwei-Schritt-Differenzenverfahren zur Berechnung strömungsabhängiger Ausbreitungsvorgänge. to appear in ZAMP 29 (1978)

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  5. Lambert, J.-D.: Computational methods in ordinary differential equations. London-New York-Sidney-Toronto:Wiley and Sons 1973

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  6. Liniger, W.: A criterion for A-stability of linear multistep integration formulae. Computing 3, 280–285 (1968)

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  9. Nevanlinna, O.: On the numerical integration of nonlinear initial value problems by linear multistep methods. BIT 17, 58–71 (1977)

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© 1978 Springer-Verlag

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Kreth, H. (1978). Time-discretisations for nonlinear evolution equations. In: Ansorge, R., Törnig, W. (eds) Numerical Treatment of Differential Equations in Applications. Lecture Notes in Mathematics, vol 679. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0067866

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  • DOI: https://doi.org/10.1007/BFb0067866

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08940-7

  • Online ISBN: 978-3-540-35715-5

  • eBook Packages: Springer Book Archive