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Convergence Theorems for Singular Integral Equations

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Numerical Solution of Integral Equations

Part of the book series: Mathematical Concepts and Methods in Science and Engineering ((MCSENG,volume 42))

Abstract

After describing a theory for singular integral equations with Cauchy kernel on the arc (−1, 1), a general convergence theory for approximate methods of solving such equations is proposed which includes estimates of rates of convergence. This theory is then applied to two well-known direct approximate methods.

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Author information

Authors and Affiliations

  1. Department of Applied Mathematics, The University of Tasmania, Hobart, Tasmania, 7001, Australia

    D. Elliott

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  1. D. Elliott
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Editor information

Editors and Affiliations

  1. Department of Mathematical Sciences, University of Nevada, Las Vegas, Nevada, 89154, USA

    Michael A. Golberg

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© 1990 Springer Science+Business Media New York

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Elliott, D. (1990). Convergence Theorems for Singular Integral Equations. In: Golberg, M.A. (eds) Numerical Solution of Integral Equations. Mathematical Concepts and Methods in Science and Engineering, vol 42. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-2593-0_6

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  • DOI: https://doi.org/10.1007/978-1-4899-2593-0_6

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-2595-4

  • Online ISBN: 978-1-4899-2593-0

  • eBook Packages: Springer Book Archive

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