Download E-books Numerical Methods for Special Functions PDF

By Amparo Gil, Nico M. Temme

Distinctive services come up in lots of difficulties of natural and utilized arithmetic, records, physics, and engineering. This e-book offers an up to date evaluate of equipment for computing specific services and discusses whilst to take advantage of them in typical parameter domain names, in addition to in huge and complicated domain names.

the 1st a part of the booklet covers convergent and divergent sequence, Chebyshev expansions, numerical quadrature, and recurrence kin. Its concentration is at the computation of specific services. Pseudoalgorithms are given to aid scholars write their very own algorithms. as well as those simple instruments, the authors speak about equipment for computing zeros of specific services, uniform asymptotic expansions, Padé approximations, and series ameliorations. The booklet additionally presents particular algorithms for computing a number of detailed services (Airy capabilities and parabolic cylinder capabilities, between others).

Audience: This e-book is meant for researchers in utilized arithmetic, medical computing, physics, engineering, statistics, and different medical disciplines within which unique capabilities are used as computational instruments. a few chapters can be utilized usually numerical research classes.

Contents: checklist of Algorithms; Preface; bankruptcy 1: creation; half I: easy tools. bankruptcy 2: Convergent and Divergent sequence; bankruptcy three: Chebyshev Expansions; bankruptcy four: Linear Recurrence family and linked persisted Fractions; bankruptcy five: Quadrature equipment; half II: extra instruments and strategies. bankruptcy 6: Numerical elements of persevered Fractions; bankruptcy 7: Computation of the Zeros of targeted capabilities; bankruptcy eight: Uniform Asymptotic Expansions; bankruptcy nine: different equipment; half III: similar subject matters and Examples. bankruptcy 10: Inversion of Cumulative Distribution features; bankruptcy eleven: extra Examples; half IV: software program. bankruptcy 12: linked Algorithms; Bibliography; Index.

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