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A class of exponentially fitted piecewise continuous methods for initial value problems

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References

  1. G. FAIRWEATHER, Finite Element Galerkin Methods for Differential Equations, Marcel Dekker, New York (1978)

    MATH  Google Scholar 

  2. J.P. HENNART, “One-step piecewise polynomial multiple collocation methods for initial value problems”, Mathematics of Computation, 31, pp. 24–36 (1977)

    Article  MathSciNet  MATH  Google Scholar 

  3. B. BJUREL, G. DAHLQUIST, B. LINBERG, S. LINDE and L. ODEN, “Survey of stiff ordinary differential equations”, Report NA 70.11, The Royal Institute of Technology, Stockholm, Sweden (1972)

    Google Scholar 

  4. J.P. HENNART, “Multiple collocation finite elements in time for parabolic evolution problems”, in The Mathematics of Finite Elements and Applications III MAFELAP 1978, pp. 271–278, J.R. Whiteman, Ed., Academic press, London (1979)

    Google Scholar 

  5. J.P. HENNART, “On the implementation of finite elements for parabolic evolution problems”, to appear in The Mathematics of Finite Elements and Applications IV, MAFELAP 1981, J.R. Whiteman, Ed., Academic Press, London. Also available as Comunicaciones Técnicas, Série NA, No 264 IIMAS-UNAM (1981)

    Google Scholar 

  6. J.P. HENNART, “Topics in finite element discretization of parabolic evolution problems”. In these Proceedings.

    Google Scholar 

  7. J.P. HENNART and H. GOURGEON, “One-step exponentially fitted piecewise continuous methods for initial value problems”, Comunicationes Técnicas, Série NA, No 263, IIMAS-UNAM (1981)

    Google Scholar 

  8. L. SCHUMAKER, Spline Functions: Basic Theory, John Wiley & Sons, New York, (1981)

    MATH  Google Scholar 

  9. P. HENRICI, Discrete Variable Methods in Ordinary Differential Equations, J. Wiley & Sons, New York (1962).

    MATH  Google Scholar 

  10. L.F. SHAMPINE and H.A. WATTS, “Block implicit one-step methods”, Mathematics of Computation, 23, pp. 731–740 (1969)

    Article  MathSciNet  MATH  Google Scholar 

  11. H.A. WATTS and L.F. SHAMPINE, “A stable block implicit one-step methods”, BIT, 12, pp. 252–266 (1972)

    Article  MathSciNet  MATH  Google Scholar 

  12. D.S. WATANABE, “Block implicit one-step methods”, Mathematics of Computation, 32, pp. 405–414 (1978)

    Article  MathSciNet  MATH  Google Scholar 

  13. G. BJUREL, “Modified linear multistep methods for a class of stiff ordinary differential equations”, BIT, 12, pp. 142–160 (1972).

    Article  MathSciNet  MATH  Google Scholar 

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© 1982 Springer-Verlag

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Gourgeon, H., Hennart, J.P. (1982). A class of exponentially fitted piecewise continuous methods for initial value problems. In: Hennart, J.P. (eds) Numerical Analysis. Lecture Notes in Mathematics, vol 909. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0092974

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  • DOI: https://doi.org/10.1007/BFb0092974

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  • Print ISBN: 978-3-540-11193-1

  • Online ISBN: 978-3-540-38986-6

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