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You searched IISERK - Subject: Red knot MigrationzDelaware Bay (Del. and N.J.)
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Call Number
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518/.6
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Author
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Gil, Amparo.
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Title
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Numerical methods for special functions [electronic resource] / Amparo Gil, Javier Segura, Nico M. Temme.
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Publication
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Philadelphia, Pa. : Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104), 2007.
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Material Info.
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1 electronic text (xiv, 417 p.) : ill., digital file.
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Summary Note
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Special functions arise in many problems of pure and applied mathematics, mathematical statistics, physics, and engineering. This book provides an up-to-date overview of numerical methods for computing special functions and discusses when to use these methods depending on the function and the range of parameters. Not only are standard and simple parameter domains considered, but methods valid for large and complex parameters are described as well. The first part of the book (basic methods) covers convergent and divergent series, Chebyshev expansions, numerical quadrature, and recurrence relations. Its focus is on the computation of special functions; however, it is suitable for general numerical courses. Pseudoalgorithms are given to help students write their own algorithms. In addition to these basic tools, the authors discuss other useful and efficient methods, such as methods for computing zeros of special functions, uniform asymptotic expansions, PadeĢ approximations, and sequence transformations. The book also provides specific algorithms for computing several special functions (like Airy functions and parabolic cylinder functions, among others).
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Notes
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Includes bibliographical references (p. 389-404) and index.
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Notes
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Preface -- 1. Introduction -- I. Basic methods -- 2. Convergent and divergent series -- 3. Chebyshev expansions -- 4. Linear recurrence relations and associated continued fractions -- 5. Quadrature methods -- II. Further tools and methods -- 6. Numerical aspects of continued fractions -- 7. Computation of the zeros of special functions -- 8. Uniform asymptotic expansions -- 9. Other methods -- III. Related topics and examples -- 10. Inversion of cumulative distribution functions -- 11. Further examples -- 12. Associated algorithms -- List of algorithms -- Bibliography -- Index.
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ISBN
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9780898717822 (electronic bk.)
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Subject
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Functions, Special Data processing.
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Subject
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Numerical analysis.
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Subject
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Asymptotic expansions.
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Subject
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Approximation theory.
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Subject
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Computation of special functions
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Subject
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Chebyshev expansions
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Subject
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Numerical quadrature
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Subject
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Recurrence relations and continued fractions
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Subject
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Asymptotic analysis
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Subject
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Zeros of special functions
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Added Entry
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Segura, Javier.
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Added Entry
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Temme, N. M.
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Added Entry
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Society for Industrial and Applied Mathematics.
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Date
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Year, Month, Day:01405141
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Link
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SIAM
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