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Stability in linear abstract differential equations

Part of the Lecture Notes in Mathematics book series (LNM,volume 1386)

Keywords

  • Complex Hilbert Space
  • Multiple Root
  • Richardson Extrapolation
  • Linear Multistep Method
  • Zero Root

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References

  1. C. BAIOCCHI. Stabilité uniforme et correcteurs dans la discrétisation des problemes paraboliques. In Research Notes in Mathematics, 70 (50–67) Pitman, London, 1982.

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  2. C.BAIOCCHI, M.CROUZEIX. On the equivalence of A-stability and G-stability. To appear on Applied Numerical Mathematics. Special Issue.

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  3. G. DAHLQUIST. A special stability problem for linear multistep methods. BIT, 3 (1963) 27–43.

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  4. G. DAHLQUIST. Error analysis for a class of methods for stiff non linear initial value problems. Lecture Notes in Mathematics, 506 (60–72) 1976.

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  5. G. DAHLQUIST. G-stability is equivalent to A-stability. BIT, 21 (1978) 384–401.

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  6. J.L. LIONS, E. MAGENES. Non homogeneous boundary value problems and applications. T.1. Grund. Math. Wiss., 181 (1972) Springer, Berlin.

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© 1989 Springer-Verlag

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Baiocchi, C. (1989). Stability in linear abstract differential equations. In: Bellen, A., Gear, C.W., Russo, E. (eds) Numerical Methods for Ordinary Differential Equations. Lecture Notes in Mathematics, vol 1386. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089228

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  • DOI: https://doi.org/10.1007/BFb0089228

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51478-7

  • Online ISBN: 978-3-540-48144-7

  • eBook Packages: Springer Book Archive