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Numerical Integration in the Treatment of Integral Equations

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Numerische Integration

Abstract

Quadrature formulae have a role in the numerical treatment of integral equations. We shall indicate the nature of this role, and the way in which the properties of certain formulae permit an investigation of some numerical methods for integral equations. For this purpose we limit consideration to linear (homogeneous and inhomogeneous) Fredholm equations of the second kind, and Volterra equations of the second kind.5*

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References

  1. Anselone, P. M. Collectively compact operator approximation theory. Prentice-Hall, Englewood Cliffs N. J., 1971.

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  2. Baker, C. T. H. On the nature of certain quadrature formulae and their errors. SIAM J. on Numer. Anal. 5 pp 783–804, 1968.

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  3. Baker, C. T. H. The error in polynomial interpolation. Num. Math. 15 pp. 315–9 1970

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  4. Baker, C. T. H. Runge-Kutta methods for Volterra integral equations of the second kind. Lecture Notes in Mathematics, 630, pp1–13, Springer-Verlag, 1978.

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  5. Baker, C. T. H. The numerical treatment of integral equations. Clarendon Press, Oxford, 1977.

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  6. Baker, C. T. H. and Hodgson, G. S. Asymptotic expansions for integration formulas in one or more dimensions. SIAM J. on Numer. Anal. 8 pp. 473–80, 1971.

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  7. Kobayasi, M. On numerical solution of the Volterra integral equations of the second kind by linear multistep methods. Rep. Stat. Appl. Res. JUSE 13 pp. 1–21, 1966.

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Authors
  1. Christopher T. H. Baker
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Editor information

Editors and Affiliations

  1. München, Germany

    G. Hämmerlin

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© 1979 Springer Basel AG

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Baker, C.T.H. (1979). Numerical Integration in the Treatment of Integral Equations. In: Hämmerlin, G. (eds) Numerische Integration. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D’Analyse Numérique, vol 45. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6288-2_2

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  • DOI: https://doi.org/10.1007/978-3-0348-6288-2_2

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-7643-1014-1

  • Online ISBN: 978-3-0348-6288-2

  • eBook Packages: Springer Book Archive

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