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Some hybrid implicit stiffly stable methods for ordinary differential equations

Part of the Lecture Notes in Mathematics book series (LNM,volume 909)

Keywords

  • Jacobian Matrix
  • Negative Real Part
  • Multistep Method
  • Positive Real Axis
  • Linear Multistep Method

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References

  • Addison, C.A. (1979). Implementing a Stiff Method Based upon the Second Derivative Formulas, Technical Report No. 130/79, University of Toronto, Department of Computer Science.

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  • Enright, W.H. (1974). Second Derivative Multistep Methods for Stiff Ordinary Differential Equations, Vol. 11, No. 2, SIAM Number. Anal.

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  • Hennart, J.P. and England, R. (1979). A Comparison Between Several Piecewise Continuous One Step Integration Techniques, pp. 33.1–33.4 in Working Papers for the 1979 SIGNUM Meeting on Numerical ODEs (Ed. R.D. Skeel), Report No. 963, University of Illinois at Urbana-Champaign, Department of Computer Science.

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  • Skeel, R.D. and Kong, A.K. (1977). Blended Linear Multistep Methods, Vol. 3, ACM Trans. Math. Software.

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  • Wanner, G., Hairer, E., and Nørsett, S.P. (1978). Order Stars and Stability Theorems, Vol. 18, BIT.

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© 1982 Springer-Verlag

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England, R. (1982). Some hybrid implicit stiffly stable methods for ordinary differential equations. In: Hennart, J.P. (eds) Numerical Analysis. Lecture Notes in Mathematics, vol 909. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0092969

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  • DOI: https://doi.org/10.1007/BFb0092969

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11193-1

  • Online ISBN: 978-3-540-38986-6

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