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The numerical treatment of some singular boundary value problems

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Numerical Analysis

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 630))

Abstract

Every numerical method for getting approximate solutions of a singular boundary value problem should take care of the type of the occurring singularities, otherwise the convergence would be very slow. A list of singularities may be helpful for the treatment of concrete problems. Using approximation methods one can get in certain cases exact error bounds for the approximate solutions; this is illustrated by different examples, especially a free boundary value problem, for which an exact error bound for the free boundary is given.

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References

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Authors
  1. Lothar Collatz
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G. A. Watson

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© 1978 Springer-Verlag

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Collatz, L. (1978). The numerical treatment of some singular boundary value problems. In: Watson, G.A. (eds) Numerical Analysis. Lecture Notes in Mathematics, vol 630. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0067695

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  • DOI: https://doi.org/10.1007/BFb0067695

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08538-6

  • Online ISBN: 978-3-540-35972-2

  • eBook Packages: Springer Book Archive

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