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Totally implicity methods for numerical solution of singular initial value problems

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References

  1. J. C. Butcher: "Implicit Runge-Kulta processes", Math. Comp. 18 (1964), 50–64.

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  2. C. Lanczos: "Trigonometric interpolation of empirical and analytical functions," J. Math. Phys. 17 (1938), 123–199.

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  3. C. Lanczos: "Tables of Chebyshev Polynomials," (Introduction), Nat. Bur. Stand. Appl. Math. Ser. 9 (1952).

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  4. D. L. Russell: "Numerical solution of singular initial value problems," SIAM J. Num. Anal. 7 (1970), 399–417.

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  5. W. R. Wason: Asymptotic Expansions for Ordinary Differential Equations, Interscience Pub., New York 1965.

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  6. K. Wright: "Some relationships between implicit Runge-Kutta, collocation and Lanczos τ methods, and their stability properties" BIT 10 (1970), 217–227.

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© 1973 Springer-Verlag

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Barnes, E.R., Russell, D.L. (1973). Totally implicity methods for numerical solution of singular initial value problems. In: Harris, W.A., Sibuya, Y. (eds) Symposium on Ordinary Differential Equations. Lecture Notes in Mathematics, vol 312. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0060054

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  • DOI: https://doi.org/10.1007/BFb0060054

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  • Print ISBN: 978-3-540-06146-5

  • Online ISBN: 978-3-540-38353-6

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