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Totally implicity methods for numerical solution of singular initial value problems

  • E. R. Barnes
  • D. L. Russell
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 312)

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References

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    J. C. Butcher: "Implicit Runge-Kulta processes", Math. Comp. 18 (1964), 50–64.MathSciNetCrossRefzbMATHGoogle Scholar
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    C. Lanczos: "Trigonometric interpolation of empirical and analytical functions," J. Math. Phys. 17 (1938), 123–199.CrossRefzbMATHGoogle Scholar
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    C. Lanczos: "Tables of Chebyshev Polynomials," (Introduction), Nat. Bur. Stand. Appl. Math. Ser. 9 (1952).Google Scholar
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    D. L. Russell: "Numerical solution of singular initial value problems," SIAM J. Num. Anal. 7 (1970), 399–417.MathSciNetCrossRefGoogle Scholar
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    W. R. Wason: Asymptotic Expansions for Ordinary Differential Equations, Interscience Pub., New York 1965.Google Scholar
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    K. Wright: "Some relationships between implicit Runge-Kutta, collocation and Lanczos τ methods, and their stability properties" BIT 10 (1970), 217–227.MathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1973

Authors and Affiliations

  • E. R. Barnes
  • D. L. Russell

There are no affiliations available

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