R. Wong,Werner Rheinboldt,Daniel Siewiorek's Asymptotic Approximations of Integrals: Computer Science and PDF

By R. Wong,Werner Rheinboldt,Daniel Siewiorek

Asymptotic Approximations of Integrals bargains with the tools utilized in the asymptotic approximation of integrals. subject matters coated diversity from logarithmic singularities and the summability solution to the distributional process and the Mellin remodel method for a number of integrals. Uniform asymptotic expansions through a rational transformation also are mentioned, besides double integrals with a curve of desk bound issues. For completeness, classical tools are tested as well.

Comprised of 9 chapters, this quantity starts off with an creation to the basic thoughts of asymptotics, by means of a dialogue on classical recommendations utilized in the asymptotic review of integrals, together with Laplace's technique, Mellin rework innovations, and the summability procedure. next chapters specialise in the straightforward thought of distributions; the distributional technique; uniform asymptotic expansions; and integrals which depend upon auxiliary parameters as well as the asymptotic variable. The booklet concludes via contemplating double integrals and higher-dimensional integrals.

This monograph is meant for graduate scholars and learn staff in arithmetic, physics, and engineering.

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Asymptotic Approximations of Integrals: Computer Science and Scientific Computing by R. Wong,Werner Rheinboldt,Daniel Siewiorek

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