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The solution of second order problems with a symbolic-numeric method

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Codes for Boundary-Value Problems in Ordinary Differential Equations

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 76))

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References

  1. E.J. Beltrami, An Algorithmic Approach to Nonlinear Analysis and Optimization, Academic Press, New York, 1970.

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  2. R. McGill and P. Kenneth, "Solution of Variational Problems by Means of a Generalized Newton-Raphson Operator," AIAA J., 2, pp. 1761–1766.

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  3. A.M. Olson, "A Two-Point Series Method for Two-Point Boundary Value Problems: Theoretical Foundation," SIAM J. Numer. Anal., 14 (1977) pp. 2–18.

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  4. _____, "Computable Series Representations of Nonlinear Operators," Mathematics Department, University of Puerto Rico, May, 1978.

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  5. P. Wolfe, "The Secant Method for Simultaneous Nonlinear Equations", Comm. ACM, 2 (1959) pp. 12–14.

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Authors

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B. Childs M. Scott J. W. Daniel E. Denman P. Nelson

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© 1979 Springer-Verlag Berlin Heidelberg

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Olson, A.M. (1979). The solution of second order problems with a symbolic-numeric method. In: Childs, B., Scott, M., Daniel, J.W., Denman, E., Nelson, P. (eds) Codes for Boundary-Value Problems in Ordinary Differential Equations. Lecture Notes in Computer Science, vol 76. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-09554-3_6

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  • DOI: https://doi.org/10.1007/3-540-09554-3_6

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09554-5

  • Online ISBN: 978-3-540-34858-0

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