Numerical Methods For Wave Propagation


Numerical Methods For Wave Propagation
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Analytical And Numerical Methods For Wave Propagation In Fluid Media


Analytical And Numerical Methods For Wave Propagation In Fluid Media
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Author : K Murawski
language : en
Publisher: World Scientific
Release Date : 2002-11-06

Analytical And Numerical Methods For Wave Propagation In Fluid Media written by K Murawski and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-11-06 with Science categories.


This book surveys analytical and numerical techniques appropriate to the description of fluid motion with an emphasis on the most widely used techniques exhibiting the best performance. Analytical and numerical solutions to hyperbolic systems of wave equations are the primary focus of the book. In addition, many interesting wave phenomena in fluids are considered using examples such as acoustic waves, the emission of air pollutants, magnetohydrodynamic waves in the solar corona, solar wind interaction with the planet venus, and ion-acoustic solitons. Contents:Mathematical Description of FluidsLinear WavesModel Equations for Weakly Nonlinear WavesAnalytical Methods for Solving the Classical Model Wave EquationsNumerical Methods for a Scalar Hyperbolic EquationsReview of Numerical Methods for Model Wave EquationsNumerical Schemes for a System of One-Dimensional Hyperbolic EquationsA Hyperbolic System of Two-Dimensional EquationsNumerical Methods for the MHD EquationsNumerical Experiments Readership: Researchers in applied and pure mathematics as well as computational and mathematical physics. Keywords:Reviews:“This book tries to fill the gap in the literature by considering together analytical and numerical approaches. The main attention is paid to the wave solutions of the quasi-hyperbolic systems appearing in fluids, plasma, and astrophysics, taking into account the nonlinearity, dispersion, dissipation and randomness of media … It can be useful for students studying the modeling of the wave processes in fluids, plasma and astrophysics.”Professor Efim Pelinovsky Russian Academy of Sciences “The book will be of interest to readers intending to enter this field, and it contains an extensive bibliography that will be useful for readers wishing to widen their study of these topics.”Mathematics Abstracts “I found the book to be very thorough in its description of methods, and the difficulties faced in solving hyperbolic problems … overall I was impressed with this book, and I recommend it as an excellent review source.”Mathematical Reviews



Effective Computational Methods For Wave Propagation


Effective Computational Methods For Wave Propagation
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Author : Nikolaos A. Kampanis
language : en
Publisher: CRC Press
Release Date : 2008-02-25

Effective Computational Methods For Wave Propagation written by Nikolaos A. Kampanis and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-02-25 with Mathematics categories.


Due to the increase in computational power and new discoveries in propagation phenomena for linear and nonlinear waves, the area of computational wave propagation has become more significant in recent years. Exploring the latest developments in the field, Effective Computational Methods for Wave Propagation presents several modern, valuable



Numerical Methods For Wave Propagation


Numerical Methods For Wave Propagation
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Author : E.F. Toro
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Numerical Methods For Wave Propagation written by E.F. Toro and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Technology & Engineering categories.


In May 1995 a meeting took place at the Manchester Metropolitan Uni versity, UK, with the title International Workshop on Numerical Methods for Wave Propagation Phenomena. The Workshop, which was attended by 60 scientists from 13 countries, was preceded by a short course enti tled High-Resolution Numerical Methods for Wave Propagation Phenom ena. The course participants could then join the Workshop and listen to discussions of the latest work in the field led by experts responsible for such developments. The present volume contains written versions of their contributions from the majority of the speakers at the Workshop. Professor Amiram Harten, but for his untimely death at the age of 50 years, would have been one of the speakers at the Workshop. His remarkable contributions to Numerical Analysis of Conservation Laws are commemo rated in this volume, which includes the text of the First Harten Memorial Lecture, delivered by Professor P. L. Roe from the University of Michigan in Ann Arbour, USA.



Numerical Methods For Wave Equations In Geophysical Fluid Dynamics


Numerical Methods For Wave Equations In Geophysical Fluid Dynamics
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Author : Dale R. Durran
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

Numerical Methods For Wave Equations In Geophysical Fluid Dynamics written by Dale R. Durran and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Mathematics categories.


Covering a wide range of techniques, this book describes methods for the solution of partial differential equations which govern wave propagation and are used in modeling atmospheric and oceanic flows. The presentation establishes a concrete link between theory and practice.



Higher Order Numerical Methods For Transient Wave Equations


Higher Order Numerical Methods For Transient Wave Equations
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Author : Gary Cohen
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

Higher Order Numerical Methods For Transient Wave Equations written by Gary Cohen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Science categories.


"To my knowledge [this] is the first book to address specifically the use of high-order discretizations in the time domain to solve wave equations. [...] I recommend the book for its clear and cogent coverage of the material selected by its author." --Physics Today, March 2003



Direct And Inverse Problems In Wave Propagation And Applications


Direct And Inverse Problems In Wave Propagation And Applications
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Author : Ivan Graham
language : en
Publisher: Walter de Gruyter
Release Date : 2013-10-14

Direct And Inverse Problems In Wave Propagation And Applications written by Ivan Graham and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-14 with Mathematics categories.


This book is the third volume of three volume series recording the "Radon Special Semester 2011 on Multiscale Simulation & Analysis in Energy and the Environment" taking place in Linz, Austria, October 3-7, 2011. This book surveys recent developments in the analysis of wave propagation problems. The topics covered include aspects of the forward problem and problems in inverse problems, as well as applications in the earth sciences. Wave propagation problems are ubiquitous in environmental applications such as seismic analysis, acoustic and electromagnetic scattering. The design of efficient numerical methods for the forward problem, in which the scattered field is computed from known geometric configurations is very challenging due to the multiscale nature of the problems. Even more challenging are inverse problems where material parameters and configurations have to be determined from measurements in conjunction with the forward problem. This book contains review articles covering several state-of-the-art numerical methods for both forward and inverse problems. This collection of survey articles focusses on the efficient computation of wave propagation and scattering is a core problem in numerical mathematics, which is currently of great research interest and is central to many applications in energy and the environment. Two generic applications which resonate strongly with the central aims of the Radon Special Semester 2011 are forward wave propagation in heterogeneous media and seismic inversion for subsurface imaging. As an example of the first application, modelling of absorption and scattering of radiation by clouds, aerosol and precipitation is used as a tool for interpretation of (e.g.) solar, infrared and radar measurements, and as a component in larger weather/climate prediction models in numerical weather forecasting. As an example of the second application, inverse problems in wave propagation in heterogeneous media arise in the problem of imaging the subsurface below land or marine deposits. The book records the achievements of Workshop 3 "Wave Propagation and Scattering, Inverse Problems and Applications in Energy and the Environment". It brings together key numerical mathematicians whose interest is in the analysis and computation of wave propagation and scattering problems, and in inverse problems, together with practitioners from engineering and industry whose interest is in the applications of these core problems.



Topics In Computational Wave Propagation


Topics In Computational Wave Propagation
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Author : Mark Ainsworth
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Topics In Computational Wave Propagation written by Mark Ainsworth and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


These ten detailed and authoritative survey articles on numerical methods for direct and inverse wave propagation problems are written by leading experts. Researchers and practitioners in computational wave propagation, from postgraduate level onwards, will find the breadth and depth of coverage of recent developments a valuable resource. The articles describe a wide range of topics on the application and analysis of methods for time and frequency domain PDE and boundary integral formulations of wave propagation problems. Electromagnetic, seismic and acoustic equations are considered. Recent developments in methods and analysis ranging from finite differences to hp-adaptive finite elements, including high-accuracy and fast methods are described with extensive references.



Mathematical And Numerical Aspects Of Wave Propagation Waves 2003


Mathematical And Numerical Aspects Of Wave Propagation Waves 2003
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Author : Gary Cohen
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Mathematical And Numerical Aspects Of Wave Propagation Waves 2003 written by Gary Cohen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.


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.



Wave Propagation In Fluids


Wave Propagation In Fluids
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Author : Vincent Guinot
language : en
Publisher: John Wiley & Sons
Release Date : 2013-05-06

Wave Propagation In Fluids written by Vincent Guinot and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-06 with Science categories.


This book presents the physical principles of wave propagation in fluid mechanics and hydraulics. The mathematical techniques that allow the behavior of the waves to be analyzed are presented, along with existing numerical methods for the simulation of wave propagation. Particular attention is paid to discontinuous flows, such as steep fronts and shock waves, and their mathematical treatment. A number of practical examples are taken from various areas fluid mechanics and hydraulics, such as contaminant transport, the motion of immiscible hydrocarbons in aquifers, river flow, pipe transients and gas dynamics. Finite difference methods and finite volume methods are analyzed and applied to practical situations, with particular attention being given to their advantages and disadvantages. Application exercises are given at the end of each chapter, enabling readers to test their understanding of the subject.



A Finite Element Approach For Wave Propagation In Elastic Solids


A Finite Element Approach For Wave Propagation In Elastic Solids
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Author : Arkadiusz Żak
language : en
Publisher: Springer Nature
Release Date :

A Finite Element Approach For Wave Propagation In Elastic Solids written by Arkadiusz Żak and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.