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On Acceleration of Spectral Computations for Integral Operators with Weakly Singular Kernels

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Integral Methods in Science and Engineering

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References

  1. Ahues, M., Limaye, B.V.: Computation of spectral subspaces for weakly singular integral operators. Numer. Functional Anal. Optim., 25, 1–14 (2004).

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  2. Ahues, M., Largillier, A., Limaye, B.V.: Spectral Computation for Bounded Operators. Chapman & Hall/CRC, Boca Raton, FL (2001).

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  3. Ahues, M., Largillier, A., Limaye, B.V.: A singularity subtraction iterative refinement scheme for spectral subspaces of weakly singular integral operators. J. Anal., (in press).

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  4. Anselone, P.M.: Singularity subtraction in the numerical solution of integral equations. J. Austral. Math. Soc. Ser. B, 22, 408–418 (1981).

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  5. Wang, J.Y.: On the numerical computation of eigenvalues and eigenfunctions of compact integral operators using spline functions. J. Inst. Math. Appl., 18, 177–188 (1976).

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Author information

Authors and Affiliations

  1. Université de Saint-Étienne, France

    M. Ahues & A. Largillier

  2. Indian Institute of Technology Bombay, Mumbai, India

    B. Limaye

Authors
  1. M. Ahues
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  2. A. Largillier
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  3. B. Limaye
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Editor information

Editors and Affiliations

  1. Department of Mathematical and Computer Sciences, University of Tulsa, 600 South College Avenue, Tulsa, OK 74104, USA

    C. Constanda

  2. Department of Civil and Environmental Engineering, University of Waterloo, 200 University Avenue West, Waterloo, ON N2L 3G1, Canada

    S. Potapenko

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© 2008 Birkhäuser Boston

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Ahues, M., Largillier, A., Limaye, B. (2008). On Acceleration of Spectral Computations for Integral Operators with Weakly Singular Kernels. In: Constanda, C., Potapenko, S. (eds) Integral Methods in Science and Engineering. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4671-4_2

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