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Mathematics of Wave Phenomena

2020-10-01 Mathematics
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Release : 2020-10-01
Genre : Mathematics
Kind : eBook
Book Rating : 748/5 ( reviews)

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Book Synopsis Mathematics of Wave Phenomena by : Willy Dörfler

Download or read book Mathematics of Wave Phenomena written by Willy Dörfler. This book was released on 2020-10-01. Available in PDF, EPUB and Kindle. Book excerpt: Wave phenomena are ubiquitous in nature. Their mathematical modeling, simulation and analysis lead to fascinating and challenging problems in both analysis and numerical mathematics. These challenges and their impact on significant applications have inspired major results and methods about wave-type equations in both fields of mathematics. The Conference on Mathematics of Wave Phenomena 2018 held in Karlsruhe, Germany, was devoted to these topics and attracted internationally renowned experts from a broad range of fields. These conference proceedings present new ideas, results, and techniques from this exciting research area.

Wave Phenomena

2012-12-06 Science
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Release : 2012-12-06
Genre : Science
Kind : eBook
Book Rating : 562/5 ( reviews)

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Book Synopsis Wave Phenomena by : Lui Lam

Download or read book Wave Phenomena written by Lui Lam. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: IJ:1 June of 1987 the Center for Applied Mathematics and Computer Science at San Jose State University received a bequest of over half a million dollars from the estate of Mrs. Marie Woodward. In the opening article of this collection of papers Jane Day, the founder of the Center, describes the background that led to this gift. In recognition of the bequest it was decided that a series of Woodward Conferences be established. The First Woodward Conference took place at San Jose State University on June 2-3 1988. The themes of the conference were the Theoretical, Computational and Practical Aspects of Wave Phenomena and these same themes have been used to divide the contributions to this volume. Part I is concerned with papers on theoretical aspects. This section includes papers on pseudo-differential operator techniques, inverse problems and the mathematical foundations of wave propagation in random media. Part II consists of papers that involve significant amounts of computation. Included are papers on the Fast Hartley Transform, computational algorithms for electromagnetic scattering problems, and nonlinear wave interaction problems in fluid mechanics. vi Part III contains papers with a genuine physics flavor. This final section illustrates the widespread importance of wave phenomena in physics. Among the phenomena considered are waves in the atmosphere, viscous fingering in liquid crystals, solitons and wave localization.

Wave Phenomena

2023-03-30 Mathematics
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Release : 2023-03-30
Genre : Mathematics
Kind : eBook
Book Rating : 937/5 ( reviews)

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Book Synopsis Wave Phenomena by : Willy Dörfler

Download or read book Wave Phenomena written by Willy Dörfler. This book was released on 2023-03-30. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the notes from the seminar on wave phenomena given in 2019 at the Mathematical Research Center in Oberwolfach. The research on wave-type problems is a fascinating and emerging field in mathematical research with many challenging applications in sciences and engineering. Profound investigations on waves require a strong interaction of several mathematical disciplines including functional analysis, partial differential equations, mathematical modeling, mathematical physics, numerical analysis, and scientific computing. The goal of this book is to present a comprehensive introduction to the research on wave phenomena. Starting with basic models for acoustic, elastic, and electro-magnetic waves, topics such as the existence of solutions for linear and some nonlinear material laws, efficient discretizations and solution methods in space and time, and the application to inverse parameter identification problems are covered. The aim of this book is to intertwine analysis and numerical mathematics for wave-type problems promoting thus cooperative research projects in this field.

Mathematical Methods for Wave Phenomena

2012-12-02 Mathematics
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Release : 2012-12-02
Genre : Mathematics
Kind : eBook
Book Rating : 953/5 ( reviews)

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Book Synopsis Mathematical Methods for Wave Phenomena by : Norman Bleistein

Download or read book Mathematical Methods for Wave Phenomena written by Norman Bleistein. This book was released on 2012-12-02. Available in PDF, EPUB and Kindle. Book excerpt: Computer Science and Applied Mathematics: Mathematical Methods for Wave Phenomena focuses on the methods of applied mathematics, including equations, wave fronts, boundary value problems, and scattering problems. The publication initially ponders on first-order partial differential equations, Dirac delta function, Fourier transforms, asymptotics, and second-order partial differential equations. Discussions focus on prototype second-order equations, asymptotic expansions, asymptotic expansions of Fourier integrals with monotonic phase, method of stationary phase, propagation of wave fronts, and variable index of refraction. The text then examines wave equation in one space dimension, as well as initial boundary value problems, characteristics for the wave equation in one space dimension, and asymptotic solution of the Klein-Gordon equation. The manuscript offers information on wave equation in two and three dimensions and Helmholtz equation and other elliptic equations. Topics include energy integral, domain of dependence, and uniqueness, scattering problems, Green's functions, and problems in unbounded domains and the Sommerfeld radiation condition. The asymptotic techniques for direct scattering problems and the inverse methods for reflector imaging are also elaborated. The text is a dependable reference for computer science experts and mathematicians pursuing studies on the mathematical methods of wave phenomena.

Fundamentals of Wave Phenomena

2010-05-15 Science
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Release : 2010-05-15
Genre : Science
Kind : eBook
Book Rating : 928/5 ( reviews)

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Book Synopsis Fundamentals of Wave Phenomena by : Akira Hirose

Download or read book Fundamentals of Wave Phenomena written by Akira Hirose. This book was released on 2010-05-15. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a unified treatment of waves that either occur naturally or can be excited and propagated in various media. This includes both longitudinal and transverse waves. The book covers both mechanical and electrical waves, which are normally covered separately due to their differences in physical phenomena.

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