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Towards a theory for discretizations of stiff differential systems

Part of the Lecture Notes in Mathematics book series (LNM,volume 506)

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References

  1. H.J. STETTER: Analysis of discretization methods for ordinary differential equations, Springer-Verlag, 1973.

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  2. G. DAHLQUIST: The sets of smooth solutions of differential and difference equations, in Stiff Differential Systems (ed. R. Willoughby), Plenum Press, 1974.

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  3. W.L. MIRANKER: Numerical methods of boundary layer type for stiff systems of differential equations, Computing 11 (1973) 221–234.

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  4. M. van VELDHUIZEN: Convergence of one-step discretizations for stiff differential equations, Thesis, Univ. of Utrecht, 1973.

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  5. W. WASOW: Asymptotic expansion for ordinary differential equations, Interscience, 1965.

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  6. C.W. GEAR: Numerical initial value problems in ordinary differential equations, Prentice Hall, 1971.

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  7. G. DAHLQUIST: Error Analysis for a class of methods for stiff nonlinear initial value problems, (these Proceedings).

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  8. A. PROTHERO and A. ROBINSON: On the stability and accuracy of onestep methods for solving stiff systems of ordinary differential equations, Math. Comp. 28 (1974), 145–162.

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© 1976 Springer-Verlag

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Stetter, H.J. (1976). Towards a theory for discretizations of stiff differential systems. In: Watson, G.A. (eds) Numerical Analysis. Lecture Notes in Mathematics, vol 506. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0080125

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  • DOI: https://doi.org/10.1007/BFb0080125

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07610-0

  • Online ISBN: 978-3-540-38129-7

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