书目名称 | Distributions in the Physical and Engineering Sciences, Volume 3 | 副标题 | Random and Anomalous | 编辑 | Alexander I. Saichev,Wojbor A. woyczyński | 视频video | | 概述 | Illustrates how the theory of distributions can be applied to solve problems in the physical and engineering sciences.Includes a robust selection of example problems that can arise in real-life indust | 丛书名称 | Applied and Numerical Harmonic Analysis | 图书封面 |  | 描述 | Continuing the authors’ multivolume project, this text considers the theory of distributions from an applied perspective, demonstrating how effective a combination of analytic and probabilistic methods can be for solving problems in the physical and engineering sciences. .Volume 1. covered foundational topics such as distributional and fractional calculus, the integral transform, and wavelets, and .Volume 2. explored linear and nonlinear dynamics in continuous media. With this volume, the scope is extended to the use of distributional tools in the theory of generalized stochastic processes and fields, and in anomalous fractional random dynamics. .Chapters cover topics such as probability distributions; generalized stochastic processes, Brownian motion, and the white noise; stochastic differential equations and generalized random fields; Burgers turbulence and passive tracer transport in Burgers flows; and linear, nonlinear, and multiscale anomalous fractional dynamics in continuous media. The needs of the applied-sciences audience are addressed by a careful and rich selection of examples arising in real-life industrial and scientific labs and a thorough discussion of their phys | 出版日期 | Textbook 2018 | 关键词 | Theory of Distributions; Anomalous fractional random dynamics; Generalized stochastic processes and fi | 版次 | 1 | doi | https://doi.org/10.1007/978-3-319-92586-8 | isbn_softcover | 978-3-030-06467-9 | isbn_ebook | 978-3-319-92586-8Series ISSN 2296-5009 Series E-ISSN 2296-5017 | issn_series | 2296-5009 | copyright | Springer International Publishing AG, part of Springer Nature 2018 |
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