Asymptotic Approximations of Integrals: Computer Science and - download pdf or read online

By R. Wong,Werner Rheinboldt,Daniel Siewiorek

Asymptotic Approximations of Integrals bargains with the equipment utilized in the asymptotic approximation of integrals. themes coated diversity from logarithmic singularities and the summability technique to the distributional technique and the Mellin rework procedure 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 advent to the basic suggestions of asymptotics, via a dialogue on classical options utilized in the asymptotic assessment of integrals, together with Laplace's technique, Mellin remodel thoughts, and the summability strategy. next chapters specialise in the simple thought of distributions; the distributional procedure; uniform asymptotic expansions; and integrals which depend upon auxiliary parameters as well as the asymptotic variable. The booklet concludes by means of contemplating double integrals and higher-dimensional integrals.

This monograph is meant for graduate scholars and study 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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