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The numerical stability in solution of differential equations

Part of the Lecture Notes in Mathematics book series (LNM,volume 109)

Keywords

  • Arithmetic Operation
  • Lipschitz Condition
  • Numerical Stability
  • Discretization Error
  • Numerical Process

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References

  • Babuska, I., M. Prager, and E. Vitasek. [1966]: Numerical Processes in Differential Equations, J. Wiley & Sons, Inc.

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  • Dahlquist, G. [1956]: Convergence and Stability in the Numerical Integration of Ordinary Differential Equations, Math. Scand., 4, 33–53.

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  • Dahlquist, G. [1959]: Stability and Error Bounds in the Numerical Integration of Ordinary Differential Equations, Trans. Roy. Inst. Technol., Stockholm, Nr. 130.

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  • Henrici, P. [1962]: Discrete Variables Methods in Ordinary Differential Equations, J. Wiley & Sons, Inc.

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  • Scraton, R.E. [1964]: The Numerical Solution of Second-Order Differential Equations Not Containing the First Derivative Explicitly, Comp. J., 6, 368–370.

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  • Wilkinson, J.H. [1963]: Rounding Errors in Algebraic Processes, London, H.M.S.O.

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© 1969 Springer-Verlag

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Vitasek, E. (1969). The numerical stability in solution of differential equations. In: Morris, J.L. (eds) Conference on the Numerical Solution of Differential Equations. Lecture Notes in Mathematics, vol 109. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0060017

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  • DOI: https://doi.org/10.1007/BFb0060017

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-04628-8

  • Online ISBN: 978-3-540-36158-9

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