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.

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.

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.

Wave Motion

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Publisher : Cambridge University Press
ISBN 13 : 1316583910
Total Pages : pages
Book Rating : 4.3/5 (165 download)

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Book Synopsis Wave Motion by : J. Billingham

Download or read book Wave Motion written by J. Billingham and published by Cambridge University Press. This book was released on 2001-01-22 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Waves are a ubiquitous and important feature of the physical world, and throughout history it has been a major challenge to understand them. They can propagate on the surfaces of solids and of fluids; chemical waves control the beating of your heart; traffic jams move in waves down lanes crowded with vehicles. This introduction to the mathematics of wave phenomena is aimed at advanced undergraduate courses on waves for mathematicians, physicists or engineers. Some more advanced material on both linear and nonlinear waves is also included, thus making the book suitable for beginning graduate courses. The authors assume some familiarity with partial differential equations, integral transforms and asymptotic expansions as well as an acquaintance with fluid mechanics, elasticity and electromagnetism. The context and physics that underlie the mathematics is clearly explained at the beginning of each chapter. Worked examples and exercises are supplied throughout, with solutions available to teachers.

Linear Elastic Waves

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Publisher : Cambridge University Press
ISBN 13 : 9780521643832
Total Pages : 184 pages
Book Rating : 4.6/5 (438 download)

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Book Synopsis Linear Elastic Waves by : John G. Harris

Download or read book Linear Elastic Waves written by John G. Harris and published by Cambridge University Press. This book was released on 2001-08-06 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: An advanced level textbook on wave propagation and scattering directed at applied mathematicians, seismologists, and engineers.

A Modern Introduction to the Mathematical Theory of Water Waves

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Publisher : Cambridge University Press
ISBN 13 : 9780521598323
Total Pages : 468 pages
Book Rating : 4.5/5 (983 download)

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Book Synopsis A Modern Introduction to the Mathematical Theory of Water Waves by : Robin Stanley Johnson

Download or read book A Modern Introduction to the Mathematical Theory of Water Waves written by Robin Stanley Johnson and published by Cambridge University Press. This book was released on 1997-10-28 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text considers classical and modern problems in linear and non-linear water-wave theory.

Applied Wave Mathematics

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Publisher :
ISBN 13 :
Total Pages : 471 pages
Book Rating : 4.:/5 (131 download)

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Book Synopsis Applied Wave Mathematics by :

Download or read book Applied Wave Mathematics written by and published by . This book was released on 2009 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Intelligent Mathematics II: Applied Mathematics and Approximation Theory

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Author :
Publisher : Springer
ISBN 13 : 3319303228
Total Pages : 502 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Intelligent Mathematics II: Applied Mathematics and Approximation Theory by : George A. Anastassiou

Download or read book Intelligent Mathematics II: Applied Mathematics and Approximation Theory written by George A. Anastassiou and published by Springer. This book was released on 2016-03-21 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: This special volume is a collection of outstanding more applied articles presented in AMAT 2015 held in Ankara, May 28-31, 2015, at TOBB Economics and Technology University. The collection is suitable for Applied and Computational Mathematics and Engineering practitioners, also for related graduate students and researchers. Furthermore it will be a useful resource for all science and engineering libraries. This book includes 29 self-contained and well-edited chapters that can be among others useful for seminars in applied and computational mathematics, as well as in engineering.

Applied Wave Mathematics

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Publisher : Springer
ISBN 13 : 9783642425196
Total Pages : 471 pages
Book Rating : 4.4/5 (251 download)

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Book Synopsis Applied Wave Mathematics by : Ewald Quak

Download or read book Applied Wave Mathematics written by Ewald Quak and published by Springer. This book was released on 2014-11-04 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume consists of twelve contributions related to the EU Marie Curie Transfer of Knowledge Project Cooperation of Estonian and Norwegian Scienti c Centres within Mathematics and its Applications, CENS-CMA (2005-2009), - der contract MTKD-CT-2004-013909, which ?nanced exchange visits to and from CENS, the Centre for Nonlinear Studies at the Institute of Cybernetics of Tallinn University of Technology in Estonia. Seven contributions describe research highlights of CENS members, two the work of members of CMA, the Centre of Mathematics for Applications,Univ- sity of Oslo, Norway, as the partner institution of CENS in the Marie Curie project, and three the ?eld of work of foreign research fellows, who visited CENS as part of theproject. Thestructureofthebookre?ectsthedistributionofthetopicsaddressed: Part I Waves in Solids Part II Mesoscopic Theory Part III Exploiting the Dissipation Inequality Part IV Waves in Fluids Part V Mathematical Methods The papers are written in a tutorial style, intended for non-specialist researchers and students, where the authors communicate their own experiences in tackling a problem that is currently of interest in the scienti?c community. The goal was to produce a book, which highlights the importance of applied mathematics and which can be used for educational purposes, such as material for a course or a seminar. To ensure the scienti?c quality of the contributions, each paper was carefully - viewed by two international experts. Special thanks go to all authors and referees, without whom making this book would not have been possible.

Mathematics of Wave Propagation

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Publisher : Princeton University Press
ISBN 13 : 0691223378
Total Pages : 411 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Mathematics of Wave Propagation by : Julian L. Davis

Download or read book Mathematics of Wave Propagation written by Julian L. Davis and published by Princeton University Press. This book was released on 2021-01-12 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: Earthquakes, a plucked string, ocean waves crashing on the beach, the sound waves that allow us to recognize known voices. Waves are everywhere, and the propagation and classical properties of these apparently disparate phenomena can be described by the same mathematical methods: variational calculus, characteristics theory, and caustics. Taking a medium-by-medium approach, Julian Davis explains the mathematics needed to understand wave propagation in inviscid and viscous fluids, elastic solids, viscoelastic solids, and thermoelastic media, including hyperbolic partial differential equations and characteristics theory, which makes possible geometric solutions to nonlinear wave problems. The result is a clear and unified treatment of wave propagation that makes a diverse body of mathematics accessible to engineers, physicists, and applied mathematicians engaged in research on elasticity, aerodynamics, and fluid mechanics. This book will particularly appeal to those working across specializations and those who seek the truly interdisciplinary understanding necessary to fully grasp waves and their behavior. By proceeding from concrete phenomena (e.g., the Doppler effect, the motion of sinusoidal waves, energy dissipation in viscous fluids, thermal stress) rather than abstract mathematical principles, Davis also creates a one-stop reference that will be prized by students of continuum mechanics and by mathematicians needing information on the physics of waves.

Applied Analysis by the Hilbert Space Method

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Publisher : Courier Corporation
ISBN 13 : 0486139298
Total Pages : 578 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Applied Analysis by the Hilbert Space Method by : Samuel S. Holland

Download or read book Applied Analysis by the Hilbert Space Method written by Samuel S. Holland and published by Courier Corporation. This book was released on 2012-05-04 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerous worked examples and exercises highlight this unified treatment. Simple explanations of difficult subjects make it accessible to undergraduates as well as an ideal self-study guide. 1990 edition.

Computation and Applied Mathematics

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Publisher :
ISBN 13 :
Total Pages : 406 pages
Book Rating : 4./5 ( download)

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Book Synopsis Computation and Applied Mathematics by :

Download or read book Computation and Applied Mathematics written by and published by . This book was released on 2002 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Wave Processes in Acoustics

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Publisher : Cambridge University Press
ISBN 13 : 9780521399845
Total Pages : 316 pages
Book Rating : 4.3/5 (998 download)

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Book Synopsis Nonlinear Wave Processes in Acoustics by : Konstantin Aleksandrovich Naugolʹnykh

Download or read book Nonlinear Wave Processes in Acoustics written by Konstantin Aleksandrovich Naugolʹnykh and published by Cambridge University Press. This book was released on 1998-05-28 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text considers models of different "acoustic" media as well as equations and behavior of finite-amplitude waves. It also considers the effects of nonlinearity, dissipation, dispersion, and for two- and three-dimensional problems, reflection and diffraction on the evolution and interaction of acoustic beams.

Applied Wave Mathematics

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Publisher : Springer Science & Business Media
ISBN 13 : 3642005853
Total Pages : 467 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Applied Wave Mathematics by : Ewald Quak

Download or read book Applied Wave Mathematics written by Ewald Quak and published by Springer Science & Business Media. This book was released on 2009-08-29 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume consists of twelve contributions related to the EU Marie Curie Transfer of Knowledge Project Cooperation of Estonian and Norwegian Scienti c Centres within Mathematics and its Applications, CENS-CMA (2005-2009), - der contract MTKD-CT-2004-013909, which ?nanced exchange visits to and from CENS, the Centre for Nonlinear Studies at the Institute of Cybernetics of Tallinn University of Technology in Estonia. Seven contributions describe research highlights of CENS members, two the work of members of CMA, the Centre of Mathematics for Applications,Univ- sity of Oslo, Norway, as the partner institution of CENS in the Marie Curie project, and three the ?eld of work of foreign research fellows, who visited CENS as part of theproject. Thestructureofthebookre?ectsthedistributionofthetopicsaddressed: Part I Waves in Solids Part II Mesoscopic Theory Part III Exploiting the Dissipation Inequality Part IV Waves in Fluids Part V Mathematical Methods The papers are written in a tutorial style, intended for non-specialist researchers and students, where the authors communicate their own experiences in tackling a problem that is currently of interest in the scienti?c community. The goal was to produce a book, which highlights the importance of applied mathematics and which can be used for educational purposes, such as material for a course or a seminar. To ensure the scienti?c quality of the contributions, each paper was carefully - viewed by two international experts. Special thanks go to all authors and referees, without whom making this book would not have been possible.

Heat Waves

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Publisher : Springer Science & Business Media
ISBN 13 : 1461404932
Total Pages : 318 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Heat Waves by : Brian Straughan

Download or read book Heat Waves written by Brian Straughan and published by Springer Science & Business Media. This book was released on 2011-07-25 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book surveys significant modern contributions to the mathematical theories of generalized heat wave equations. The first three chapters form a comprehensive survey of most modern contributions also describing in detail the mathematical properties of each model. Acceleration waves and shock waves are the focus in the next two chapters. Numerical techniques, continuous data dependence, and spatial stability of the solution in a cylinder, feature prominently among other topics treated in the following two chapters. The final two chapters are devoted to a description of selected applications and the corresponding formation of mathematical models. Illustrations are taken from a broad range that includes nanofluids, porous media, thin films, nuclear reactors, traffic flow, biology, and medicine, all of contemporary active technological importance and interest. This book will be of value to applied mathematicians, theoretical engineers and other practitioners who wish to know both the theory and its relevance to diverse applications.

Modern Applied Mathematics

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Publisher : Alpha Science Int'l Ltd.
ISBN 13 : 9788173194924
Total Pages : 572 pages
Book Rating : 4.1/5 (949 download)

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Book Synopsis Modern Applied Mathematics by : J. C. Misra

Download or read book Modern Applied Mathematics written by J. C. Misra and published by Alpha Science Int'l Ltd.. This book was released on 2005 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive volume introduces educational units dealing with important topics of modern applied mathematics. Chapters include comprehensive information on different topics such as: Methods of Approximation for Mapping in Probability Spaces, Mathematical Modelling of Seismic Sources, Climate Variability, Geometry of Differential Equations, Modelling of Particle-Driven Gravity Currents, Impulsive Free-Surface Flows, Internal Wave Propagation, Isogroups and Exact Solutions of Higher Order Boltzman Equation, Molecular and Particle Modelling, Asymptotic Behaviour of Solutions of Nonlinear Partial Differential Equations, Mixed Boundary Value Problems, Dual Integral Equations, Dual Series Equations and their Applications, Evolutionary Mechanisms of Organization in Complex Systems, Zero-Sum Differential Games, Bernoulli Convolutions, Probability Distribution Functions, O.D.E. Approach to Stochastic Approximation, Bayesian Inference on the Long Range Dependence.

Wave Theory and Applications

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Author :
Publisher : Oxford University Press, USA
ISBN 13 :
Total Pages : 336 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Wave Theory and Applications by : David Russell Bland

Download or read book Wave Theory and Applications written by David Russell Bland and published by Oxford University Press, USA. This book was released on 1988 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a modern introduction to wave theory and its applications to physical phenomena such as deep water waves, transmission lines, elasticity, and traffic flow. The author presents a broad coverage of the subject, including numerous exercises. Each of the main topics is described in detail with examples of their applications. These topics include the classical wave equation, dispersion, dissipation, interconnected waves, diffusive waves, and first and second order non-linear waves. The special attention paid to non-linear and elastic waves represents a major strength of the text, along with its inclusion of an entire chapter devoted to the use of characteristics and asymptotic expansions. Intended for advanced undergraduates, the book will also be of interest to instructors in mathematics, physics and engineering courses.