Mathematical Modelling of Wave Phenomena

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Author :
Publisher : American Institute of Physics
ISBN 13 :
Total Pages : 406 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Modelling of Wave Phenomena by : Börje Nilsson

Download or read book Mathematical Modelling of Wave Phenomena written by Börje Nilsson and published by American Institute of Physics. This book was released on 2006-05-12 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: This conference series intends to illuminate the relationship between different types of waves. This second conference focused primarily on classical wave modeling of acoustic waves in solids and fluids, electromagnetic waves, as well as elastic wave modeling, and both direct and inverse problems are addressed. Topics included are: (1) Classical linear wave propagation modeling, analysis and computation: general, electromagnetic applications, acoustics of fluids, acoustics of solids; (2) classical nonlinear wave propagation modeling, analysis, and computation; (3) inverse scattering modeling: gneral and electromagnetic imaging, wood imaging, seismic imaging; (4) quantum and statistical mechanics; (5) signal processing and analysis.

Mathematics of Wave Phenomena

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Publisher : Springer Nature
ISBN 13 : 3030471748
Total Pages : 330 pages
Book Rating : 4.0/5 (34 download)

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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 and published by Springer Nature. This book was released on 2020-10-01 with total page 330 pages. 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

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Publisher : Springer Nature
ISBN 13 : 3031057937
Total Pages : 368 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Wave Phenomena by : Willy Dörfler

Download or read book Wave Phenomena written by Willy Dörfler and published by Springer Nature. This book was released on 2023-03-30 with total page 368 pages. 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 and Numerical Aspects of Wave Propagation WAVES 2003

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Publisher : Springer Science & Business Media
ISBN 13 : 3642558569
Total Pages : 923 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Mathematical and Numerical Aspects of Wave Propagation WAVES 2003 by : Gary Cohen

Download or read book Mathematical and Numerical Aspects of Wave Propagation WAVES 2003 written by Gary Cohen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 923 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume includes articles on the mathematical modeling and numerical simulation of various wave phenomena. For many years Waves 2003 and its five prior conferences have been an important forum for discussions on wave propagation. The topic is equally important for fundamental sciences, engineering, mathematics and, in particular, for industrial applications. Areas of specific interest are acoustics, electromagnetics, elasticity and related inverse and optimization problems. This book gives an extensive overview of recent developments in a very active field of scientific computing.

Mathematical Methods for Wave Phenomena

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Publisher : Academic Press
ISBN 13 : 0080916953
Total Pages : 341 pages
Book Rating : 4.0/5 (89 download)

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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 and published by Academic Press. This book was released on 2012-12-02 with total page 341 pages. 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.

Mathematical Modeling of Wave Phenomena

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Publisher :
ISBN 13 :
Total Pages : 334 pages
Book Rating : 4.:/5 (436 download)

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Book Synopsis Mathematical Modeling of Wave Phenomena by :

Download or read book Mathematical Modeling of Wave Phenomena written by and published by . This book was released on 2009 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Modeling of Wave Phenomena : 3rd Conference on Mathematical Modeling of Wave Phenonema [and] 20th Nordic Conference on Radio Science and Communications, Växjö, Sweden, 13-19 June 2008

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (99 download)

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Book Synopsis Mathematical Modeling of Wave Phenomena : 3rd Conference on Mathematical Modeling of Wave Phenonema [and] 20th Nordic Conference on Radio Science and Communications, Växjö, Sweden, 13-19 June 2008 by : Conference on Mathematical Modeling of Wave Phenomena

Download or read book Mathematical Modeling of Wave Phenomena : 3rd Conference on Mathematical Modeling of Wave Phenonema [and] 20th Nordic Conference on Radio Science and Communications, Växjö, Sweden, 13-19 June 2008 written by Conference on Mathematical Modeling of Wave Phenomena and published by . This book was released on 2009 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Modelling of Waves in Multi-Scale Structured Media

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Author :
Publisher : CRC Press
ISBN 13 : 1351651420
Total Pages : 266 pages
Book Rating : 4.3/5 (516 download)

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Book Synopsis Mathematical Modelling of Waves in Multi-Scale Structured Media by : Alexander B. Movchan

Download or read book Mathematical Modelling of Waves in Multi-Scale Structured Media written by Alexander B. Movchan and published by CRC Press. This book was released on 2017-11-09 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Modelling of Waves in Multi-Scale Structured Media presents novel analytical and numerical models of waves in structured elastic media, with emphasis on the asymptotic analysis of phenomena such as dynamic anisotropy, localisation, filtering and polarisation as well as on the modelling of photonic, phononic, and platonic crystals.

Wave Phenomena

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Publisher : Springer Science & Business Media
ISBN 13 : 1461388562
Total Pages : 281 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Wave Phenomena by : Lui Lam

Download or read book Wave Phenomena written by Lui Lam and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 281 pages. 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.

3D Modeling of Nonlinear Wave Phenomena on Shallow Water Surfaces

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Publisher : John Wiley & Sons
ISBN 13 : 1119488214
Total Pages : 276 pages
Book Rating : 4.1/5 (194 download)

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Book Synopsis 3D Modeling of Nonlinear Wave Phenomena on Shallow Water Surfaces by : Iftikhar B. Abbasov

Download or read book 3D Modeling of Nonlinear Wave Phenomena on Shallow Water Surfaces written by Iftikhar B. Abbasov and published by John Wiley & Sons. This book was released on 2018-02-01 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: With climate change, erosion, and human encroachment on coastal environments growing all over the world, it is increasingly important to protect populations and environments close to the sea from storms, tsunamis, and other events that can be not just costly to property but deadly. This book is one step in bringing the science of protection from these events forward, the most in-depth study of its kind ever published. The analytic and numerical modeling problems of nonlinear wave activities in shallow water are analyzed in this work. Using the author’s unique method described herein, the equations of shallow water are solved, and asymmetries that cannot be described by the Stokes theory are solved. Based on analytical expressions, the impacts of dispersion effects to wave profiles transformation are taken into account. The 3D models of the distribution and refraction of nonlinear surface gravity wave at the various coast formations are introduced, as well. The work covers the problems of numerical simulation of the run-up of nonlinear surface gravity waves in shallow water, transformation of the surface waves for the 1D case, and models for the refraction of numerical modeling of the run-up of nonlinear surface gravity waves at beach approach of various slopes. 2D and 3D modeling of nonlinear surface gravity waves are based on Navier-Stokes equations. In 2D modeling the influence of the bottom of the coastal zone on flooding of the coastal zone during storm surges was investigated. Various stages of the run-up of nonlinear surface gravity waves are introduced and analyzed. The 3D modeling process of the run-up is tested for the coast protection work of the slope type construction. Useful for students and veteran engineers and scientists alike, this is the only book covering these important issues facing anyone working with coastal models and ocean, coastal, and civil engineering in this area.

Proceedings of the International Conference Mathematical Modelling of Wave Phenomena 2002

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Publisher :
ISBN 13 : 9789176363850
Total Pages : 331 pages
Book Rating : 4.3/5 (638 download)

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Book Synopsis Proceedings of the International Conference Mathematical Modelling of Wave Phenomena 2002 by : Börje Nilsson

Download or read book Proceedings of the International Conference Mathematical Modelling of Wave Phenomena 2002 written by Börje Nilsson and published by . This book was released on 2002 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied Wave Mathematics II

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Publisher : Springer Nature
ISBN 13 : 3030299511
Total Pages : 376 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Applied Wave Mathematics II by : Arkadi Berezovski

Download or read book Applied Wave Mathematics II written by Arkadi Berezovski and published by Springer Nature. This book was released on 2019-11-16 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers contributions on various aspects of the theory and applications of linear and nonlinear waves and associated phenomena, as well as approaches developed in a global partnership of researchers with the national Centre of Excellence in Nonlinear Studies (CENS) at the Department of Cybernetics of Tallinn University of Technology in Estonia. The papers chiefly focus on the role of mathematics in the analysis of wave phenomena. They highlight the complexity of related topics concerning wave generation, propagation, transformation and impact in solids, gases, fluids and human tissues, while also sharing insights into selected mathematical methods for the analytical and numerical treatment of complex phenomena. In addition, the contributions derive advanced mathematical models, share innovative ideas on computing, and present novel applications for a number of research fields where both linear and nonlinear wave problems play an important role. The papers are written in a tutorial style, intended for non-specialist researchers and students. The authors first describe the basics of a problem that is currently of interest in the scientific community, discuss the state of the art in related research, and then share their own experiences in tackling the problem. Each chapter highlights the importance of applied mathematics for central issues in the study of waves and associated complex phenomena in different media. The topics range from basic principles of wave mechanics up to the mathematics of Planet Earth in the broadest sense, including contemporary challenges in the mathematics of society. In turn, the areas of application range from classic ocean wave mathematics to material science, and to human nerves and tissues. All contributions describe the approaches in a straightforward manner, making them ideal material for educational purposes, e.g. for courses, master class lectures, or seminar presentations.

Introduction to Wave Scattering, Localization and Mesoscopic Phenomena

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Publisher : Springer Science & Business Media
ISBN 13 : 3540291563
Total Pages : 341 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Introduction to Wave Scattering, Localization and Mesoscopic Phenomena by : Ping Sheng

Download or read book Introduction to Wave Scattering, Localization and Mesoscopic Phenomena written by Ping Sheng and published by Springer Science & Business Media. This book was released on 2006-08-25 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: Waves represent an important topic of study in physics, mathematics, and engineering. This volume is a resource book for those interested in understanding the physics underlying nanotechnology and mesoscopic phenomena. It aims to bridge the gap between the textbooks and research frontiers in wave related topics.

Wave Phenomena: Modern Theory and Applications

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Publisher : Elsevier
ISBN 13 : 9780080872087
Total Pages : 458 pages
Book Rating : 4.8/5 (72 download)

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Book Synopsis Wave Phenomena: Modern Theory and Applications by : C. Rogers

Download or read book Wave Phenomena: Modern Theory and Applications written by C. Rogers and published by Elsevier. This book was released on 1984-10-01 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains 35 of the contributions to the international meeting Wave Phenomena: Modern Theory and Applications, held at the University of Toronto, Canada, at the end of June 1983.

Modeling Natural Phenomena via Cellular Nonlinear Networks

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Publisher : Cambridge Scholars Publishing
ISBN 13 : 1527507351
Total Pages : 220 pages
Book Rating : 4.5/5 (275 download)

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Book Synopsis Modeling Natural Phenomena via Cellular Nonlinear Networks by : Angela Slavova

Download or read book Modeling Natural Phenomena via Cellular Nonlinear Networks written by Angela Slavova and published by Cambridge Scholars Publishing. This book was released on 2018-01-23 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a study of neuroscience models and natural phenomena, such as tsunami waves and tornados. The first part discusses various mathematical models of tsunamis, including the Korteweg–de Vries equation, shallow water equations and the Camassa–Holm equation (CH). In order to study the dynamics of these models, the text uses the Cellular Nonlinear Networks (CNN) approach to discretize the governing equation using a suitable mathematical grid. The second part discusses some of the models arising in the field of neuroscience. It examines the Fitzhugh-Nagumo systems, which are very important for understanding the qualitative nature of nerve impulse propagation. The volume will be of interest to a wide-ranging audience, including PhD students, mathematicians, physicists, engineers and specialists in the domain of nonlinear waves and their applications.

Physics of Oscillations and Waves

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Publisher : Springer
ISBN 13 : 3319723146
Total Pages : 576 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Physics of Oscillations and Waves by : Arnt Inge Vistnes

Download or read book Physics of Oscillations and Waves written by Arnt Inge Vistnes and published by Springer. This book was released on 2018-08-21 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this textbook a combination of standard mathematics and modern numerical methods is used to describe a wide range of natural wave phenomena, such as sound, light and water waves, particularly in specific popular contexts, e.g. colors or the acoustics of musical instruments. It introduces the reader to the basic physical principles that allow the description of the oscillatory motion of matter and classical fields, as well as resulting concepts including interference, diffraction, and coherence. Numerical methods offer new scientific insights and make it possible to handle interesting cases that can’t readily be addressed using analytical mathematics; this holds true not only for problem solving but also for the description of phenomena. Essential physical parameters are brought more into focus, rather than concentrating on the details of which mathematical trick should be used to obtain a certain solution. Readers will learn how time-resolved frequency analysis offers a deeper understanding of the interplay between frequency and time, which is relevant to many phenomena involving oscillations and waves. Attention is also drawn to common misconceptions resulting from uncritical use of the Fourier transform. The book offers an ideal guide for upper-level undergraduate physics students and will also benefit physics instructors. Program codes in Matlab and Python, together with interesting files for use in the problems, are provided as free supplementary material.

Waves and Compressible Flow

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Publisher : Springer Science & Business Media
ISBN 13 : 0387218025
Total Pages : 190 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Waves and Compressible Flow by : Hilary Ockendon

Download or read book Waves and Compressible Flow written by Hilary Ockendon and published by Springer Science & Business Media. This book was released on 2006-05-17 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers compressible flow however the authors also show how wave phenomena in electromagnetism and solid mechanics can be treated using similar mathematical methods. It caters to the needs of the modern student by providing the tools necessary for a mathematical analysis of most kinds of waves liable to be encountered in modern science and technology. At the same time emphasis is laid on the physical background and modeling that requires these tools.