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  3. Multiscale Methods for Fredholm Integral Equations
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  • Publisher:
    Cambridge University Press
    Publication date:
    05 July 2015
    16 July 2015
    ISBN:
    9781316216637
    9781107103474
    DOI:
    https://doi.org/10.1017/CBO9781316216637
    Dimensions:
    (228 x 152 mm)
    Weight & Pages:
    0.97kg, 552 Pages
    Dimensions:
    Weight & Pages:
    • Subjects:
    Mathematics, Computational Science, Differential and Integral Equations, Dynamical Systems and Control Theory, Numerical Analysis and Computational Science
    Series:
    Cambridge Monographs on Applied and Computational Mathematics (28)
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    Subjects:
    Mathematics, Computational Science, Differential and Integral Equations, Dynamical Systems and Control Theory, Numerical Analysis and Computational Science
    Series:
    Cambridge Monographs on Applied and Computational Mathematics (28)
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    Book description

    The recent appearance of wavelets as a new computational tool in applied mathematics has given a new impetus to the field of numerical analysis of Fredholm integral equations. This book gives an account of the state of the art in the study of fast multiscale methods for solving these equations based on wavelets. The authors begin by introducing essential concepts and describing conventional numerical methods. They then develop fast algorithms and apply these to solving linear, nonlinear Fredholm integral equations of the second kind, ill-posed integral equations of the first kind and eigen-problems of compact integral operators. Theorems of functional analysis used throughout the book are summarised in the appendix. The book is an essential reference for practitioners wishing to use the new techniques. It may also be used as a text, with the first five chapters forming the basis of a one-semester course for advanced undergraduates or beginning graduates.

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