By R. Wong,Werner Rheinboldt,Daniel Siewiorek

Asymptotic Approximations of Integrals offers with the tools utilized in the asymptotic approximation of integrals. themes lined diversity from logarithmic singularities and the summability technique to the distributional procedure and the Mellin remodel strategy for a number of integrals. Uniform asymptotic expansions through a rational transformation also are mentioned, in addition to double integrals with a curve of desk bound issues. For completeness, classical equipment are tested as well.

Comprised of 9 chapters, this quantity starts off with an advent to the basic strategies of asymptotics, by way of a dialogue on classical options utilized in the asymptotic overview of integrals, together with Laplace's procedure, Mellin rework innovations, and the summability technique. next chapters specialize in the common idea of distributions; the distributional procedure; uniform asymptotic expansions; and integrals which depend upon auxiliary parameters as well as the asymptotic variable. The publication concludes via 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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