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Nonlinear methods for stiff systems of ordinary differential equations

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Conference on the Numerical Solution of Differential Equations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 363))

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References

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

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  2. Ehle, B.L., On Padé approximations to the exponential function and A-stable methods for the numerical solution of initial value problems, University of Waterloo, Dept. Applied Analysis and Computer Science, Research Report No. CSRR 2010 (1969).

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  3. Fowler, M.E. and Warten, R.M., A numerical integration technique for ordinary differential equations with widely separated eigenvalues, IBM Jour., 11, 537–543, 1967.

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  4. Lambert, J.D. and Shaw, B., On the numerical solution of y′=f(x,y) by a class of formulae based on rational approximation, Math. Comp. 19, 456–462, 1965.

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  5. Lambert, J.D. and Shaw, B., A method for the numerical solution of y′=f(x,y) based on a self-adjusting non-polynomial interpolant, Math. Comp., 20, 11–20, 1966.

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  6. Lambert, J.D. and Shaw, B., A generalisation of multistep methods for ordinary differential equations, Numer. Math., 8, 250–263, 1966.

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  7. Liniger, W. and Willoughby, R.A., Efficient numerical integration methods for stiff systems of differential equations, IBM Research Report RC-1970, 1967.

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  8. Widlund, O.B., A note on unconditionally stable linear multistep methods, BIT, 7, 65–70, 1967.

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Authors
  1. J. D. Lambert
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G. A. Watson

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© 1974 Springer-Verlag

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Lambert, J.D. (1974). Nonlinear methods for stiff systems of ordinary differential equations. In: Watson, G.A. (eds) Conference on the Numerical Solution of Differential Equations. Lecture Notes in Mathematics, vol 363. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069127

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  • DOI: https://doi.org/10.1007/BFb0069127

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06617-0

  • Online ISBN: 978-3-540-37914-0

  • eBook Packages: Springer Book Archive

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