New PDF release: Asymptotic Approximations of Integrals: Computer Science and

By R. Wong,Werner Rheinboldt,Daniel Siewiorek

ISBN-10: 0127625356

ISBN-13: 9780127625355

ISBN-10: 1483207285

ISBN-13: 9781483207285

Asymptotic Approximations of Integrals bargains with the tools utilized in the asymptotic approximation of integrals. themes lined diversity from logarithmic singularities and the summability approach to the distributional technique and the Mellin remodel process 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 tools are tested as well.

Comprised of 9 chapters, this quantity starts with an advent to the basic ideas of asymptotics, by way of a dialogue on classical ideas utilized in the asymptotic overview of integrals, together with Laplace's process, Mellin rework options, and the summability procedure. next chapters specialize in the simple idea of distributions; the distributional process; uniform asymptotic expansions; and integrals which rely on auxiliary parameters as well as the asymptotic variable. The ebook concludes by way of contemplating double integrals and higher-dimensional integrals.

This monograph is meant for graduate scholars and study employees 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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