Introduction To Traveling Waves

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Introduction to Traveling Waves

Author : Anna R. Ghazaryan
Publisher : CRC Press
ISBN 13 : 1000776921
Total Pages : 175 pages
Book Rating : 4.0/5 (7 download)

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Book Synopsis Introduction to Traveling Waves by : Anna R. Ghazaryan

Download or read book Introduction to Traveling Waves written by Anna R. Ghazaryan and published by CRC Press. This book was released on 2022-11-14 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Traveling Waves is an invitation to research focused on traveling waves for undergraduate and masters level students. Traveling waves are not typically covered in the undergraduate curriculum, and topics related to traveling waves are usually only covered in research papers, except for a few texts designed for students. This book includes techniques that are not covered in those texts. Through their experience involving undergraduate and graduate students in a research topic related to traveling waves, the authors found that the main difficulty is to provide reading materials that contain the background information sufficient to start a research project without an expectation of an extensive list of prerequisites beyond regular undergraduate coursework. This book meets that need and serves as an entry point into research topics about the existence and stability of traveling waves. Features Self-contained, step-by-step introduction to nonlinear waves written assuming minimal prerequisites, such as an undergraduate course on linear algebra and differential equations. Suitable as a textbook for a special topics course, or as supplementary reading for courses on modeling. Contains numerous examples to support the theoretical material. Supplementary MATLAB codes available via GitHub.

An Introduction to the Mathematical Theory of Waves

Author : Roger Knobel
Publisher : American Mathematical Soc.
ISBN 13 : 0821820397
Total Pages : 212 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis An Introduction to the Mathematical Theory of Waves by : Roger Knobel

Download or read book An Introduction to the Mathematical Theory of Waves written by Roger Knobel and published by American Mathematical Soc.. This book was released on 2000 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on an undergraduate course taught at the IAS/Park City Mathematics Institute (Utah) on linear and nonlinear waves. The first part of the text overviews the concept of a wave, describes one-dimensional waves using functions of two variables, provides an introduction to partial differential equations, and discusses computer-aided visualization techniques. The second part of the book discusses traveling waves, leading to a description of solitary waves and soliton solutions of the Klein-Gordon and Korteweg-deVries equations. The wave equation is derived to model the small vibrations of a taut string, and solutions are constructed via d'Alembert's formula and Fourier series.The last part of the book discusses waves arising from conservation laws. After deriving and discussing the scalar conservation law, its solution is described using the method of characteristics, leading to the formation of shock and rarefaction waves. Applications of these concepts are then given for models of traffic flow. The intent of this book is to create a text suitable for independent study by undergraduate students in mathematics, engineering, and science. The content of the book is meant to be self-contained, requiring no special reference material. Access to computer software such as MathematicaR, MATLABR, or MapleR is recommended, but not necessary. Scripts for MATLAB applications will be available via the Web. Exercises are given within the text to allow further practice with selected topics.

Traveling Wave Analysis of Partial Differential Equations

Author : Graham Griffiths
Publisher : Academic Press
ISBN 13 : 0123846536
Total Pages : 463 pages
Book Rating : 4.1/5 (238 download)

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Book Synopsis Traveling Wave Analysis of Partial Differential Equations by : Graham Griffiths

Download or read book Traveling Wave Analysis of Partial Differential Equations written by Graham Griffiths and published by Academic Press. This book was released on 2010-12-09 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although the Partial Differential Equations (PDE) models that are now studied are usually beyond traditional mathematical analysis, the numerical methods that are being developed and used require testing and validation. This is often done with PDEs that have known, exact, analytical solutions. The development of analytical solutions is also an active area of research, with many advances being reported recently, particularly traveling wave solutions for nonlinear evolutionary PDEs. Thus, the current development of analytical solutions directly supports the development of numerical methods by providing a spectrum of test problems that can be used to evaluate numerical methods. This book surveys some of these new developments in analytical and numerical methods, and relates the two through a series of PDE examples. The PDEs that have been selected are largely "named'' since they carry the names of their original contributors. These names usually signify that the PDEs are widely recognized and used in many application areas. The authors' intention is to provide a set of numerical and analytical methods based on the concept of a traveling wave, with a central feature of conversion of the PDEs to ODEs. The Matlab and Maple software will be available for download from this website shortly. www.pdecomp.net - Includes a spectrum of applications in science, engineering, applied mathematics - Presents a combination of numerical and analytical methods - Provides transportable computer codes in Matlab and Maple

Traveling Waves on Transmission Systems

Author : Loyal Vivian Bewley
Publisher :
ISBN 13 :
Total Pages : 570 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Traveling Waves on Transmission Systems by : Loyal Vivian Bewley

Download or read book Traveling Waves on Transmission Systems written by Loyal Vivian Bewley and published by . This book was released on 1951 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Traveling Waves

Author : Anna R. Ghazaryan
Publisher : CRC Press
ISBN 13 : 100077693X
Total Pages : 160 pages
Book Rating : 4.0/5 (7 download)

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Book Synopsis Introduction to Traveling Waves by : Anna R. Ghazaryan

Download or read book Introduction to Traveling Waves written by Anna R. Ghazaryan and published by CRC Press. This book was released on 2022-11-14 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Traveling Waves is an invitation to research focused on traveling waves for undergraduate and masters level students. Traveling waves are not typically covered in the undergraduate curriculum, and topics related to traveling waves are usually only covered in research papers, except for a few texts designed for students. This book includes techniques that are not covered in those texts. Through their experience involving undergraduate and graduate students in a research topic related to traveling waves, the authors found that the main difficulty is to provide reading materials that contain the background information sufficient to start a research project without an expectation of an extensive list of prerequisites beyond regular undergraduate coursework. This book meets that need and serves as an entry point into research topics about the existence and stability of traveling waves. Features Self-contained, step-by-step introduction to nonlinear waves written assuming minimal prerequisites, such as an undergraduate course on linear algebra and differential equations. Suitable as a textbook for a special topics course, or as supplementary reading for courses on modeling. Contains numerous examples to support the theoretical material. Supplementary MATLAB codes available via GitHub.

Wave Propagation

Author : James H. Williams, Jr.
Publisher : MIT Press
ISBN 13 : 0262039907
Total Pages : 449 pages
Book Rating : 4.2/5 (62 download)

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Book Synopsis Wave Propagation by : James H. Williams, Jr.

Download or read book Wave Propagation written by James H. Williams, Jr. and published by MIT Press. This book was released on 2019-12-31 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: An engineering-oriented introduction to wave propagation by an award-winning MIT professor, with highly accessible expositions and mathematical details—many classical but others not heretofore published. A wave is a traveling disturbance or oscillation—intentional or unintentional—that usually transfers energy without a net displacement of the medium in which the energy travels. Wave propagation is any of the means by which a wave travels. This book offers an engineering-oriented introduction to wave propagation that focuses on wave propagation in one-dimensional models that are anchored by the classical wave equation. The text is written in a style that is highly accessible to undergraduates, featuring extended and repetitive expositions and displaying and explaining mathematical and physical details—many classical but others not heretofore published. The formulations are devised to provide analytical foundations for studying more advanced topics of wave propagation. After a precalculus summary of rudimentary wave propagation and an introduction of the classical wave equation, the book presents solutions for the models of systems that are dimensionally infinite, semi-infinite, and finite. Chapters typically begin with a vignette based on some aspect of wave propagation, drawing on a diverse range of topics. The book provides more than two hundred end-of-chapter problems (supplying answers to most problems requiring a numerical result or brief analytical expression). Appendixes cover equations of motion for strings, rods, and circular shafts; shear beams; and electric transmission lines.

Travelling Waves in Nonlinear Diffusion-Convection Reaction

Author : Brian H. Gilding
Publisher : Springer Science & Business Media
ISBN 13 : 9783764370718
Total Pages : 224 pages
Book Rating : 4.3/5 (77 download)

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Book Synopsis Travelling Waves in Nonlinear Diffusion-Convection Reaction by : Brian H. Gilding

Download or read book Travelling Waves in Nonlinear Diffusion-Convection Reaction written by Brian H. Gilding and published by Springer Science & Business Media. This book was released on 2004-07-23 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph has grown out of research we started in 1987, although the foun dations were laid in the 1970's when both of us were working on our doctoral theses, trying to generalize the now classic paper of Oleinik, Kalashnikov and Chzhou on nonlinear degenerate diffusion. Brian worked under the guidance of Bert Peletier at the University of Sussex in Brighton, England, and, later at Delft University of Technology in the Netherlands on extending the earlier mathematics to include nonlinear convection; while Robert worked at Lomonosov State Univer sity in Moscow under the supervision of Anatolii Kalashnikov on generalizing the earlier mathematics to include nonlinear absorption. We first met at a conference held in Rome in 1985. In 1987 we met again in Madrid at the invitation of Ildefonso Diaz, where we were both staying at 'La Residencia'. As providence would have it, the University 'Complutense' closed down during this visit in response to student demonstra tions, and, we were very much left to our own devices. It was natural that we should gravitate to a research topic of common interest. This turned out to be the characterization of the phenomenon of finite speed of propagation for nonlin ear reaction-convection-diffusion equations. Brian had just completed some work on this topic for nonlinear diffusion-convection, while Robert had earlier done the same for nonlinear diffusion-absorption. There was no question but that we bundle our efforts on the general situation.

Traveling at the Speed of Thought

Author : Daniel Kennefick
Publisher : Princeton University Press
ISBN 13 : 9780691117270
Total Pages : 348 pages
Book Rating : 4.1/5 (172 download)

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Book Synopsis Traveling at the Speed of Thought by : Daniel Kennefick

Download or read book Traveling at the Speed of Thought written by Daniel Kennefick and published by Princeton University Press. This book was released on 2007-04-15 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since Einstein first described them nearly a century ago, gravitational waves have been the subject of more sustained controversy than perhaps any other phenomenon in physics. These as yet undetected fluctuations in the shape of space-time were first predicted by Einstein's general theory of relativity, but only now, at the dawn of the twenty-first century, are we on the brink of finally observing them. Daniel Kennefick's landmark book takes readers through the theoretical controversies and thorny debates that raged around the subject of gravitational waves after the publication of Einstein's theory. The previously untold story of how we arrived at a settled theory of gravitational waves includes a stellar cast from the front ranks of twentieth-century physics, including Richard Feynman, Hermann Bondi, John Wheeler, Kip Thorne, and Einstein himself, who on two occasions avowed that gravitational waves do not exist, changing his mind both times. The book derives its title from a famously skeptical comment made by Arthur Stanley Eddington in 1922--namely, that "gravitational waves propagate at the speed of thought." Kennefick uses the title metaphorically to contrast the individual brilliance of each of the physicists grappling with gravitational-wave theory against the frustratingly slow progression of the field as a whole. Accessibly written and impeccably researched, this book sheds new light on the trials and conflicts that have led to the extraordinary position in which we find ourselves today--poised to bring the story of gravitational waves full circle by directly confirming their existence for the very first time.

Oscillations and Waves

Author : Richard Fitzpatrick
Publisher : CRC Press
ISBN 13 : 135106309X
Total Pages : 310 pages
Book Rating : 4.3/5 (51 download)

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Book Synopsis Oscillations and Waves by : Richard Fitzpatrick

Download or read book Oscillations and Waves written by Richard Fitzpatrick and published by CRC Press. This book was released on 2018-07-17 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: Emphasizing physics over mathematics, this popular, classroom-tested text helps advanced undergraduates acquire a sound physical understanding of wave phenomena. This second edition of Oscillations and Waves: An Introduction contains new widgets, animations in Python, and exercises, as well as updated chapter content throughout; continuing to ease the difficult transition for students between lower-division courses that mostly encompass algebraic equations and upper-division courses that rely on differential equations. Assuming familiarity with the laws of physics and college-level mathematics, the author covers aspects of optics that crucially depend on the wave-like nature of light, such as wave optics. Examples explore discrete mechanical, optical, and quantum mechanical systems; continuous gases, fluids, and elastic solids; electronic circuits; and electromagnetic waves. The text also introduces the conventional complex representation of oscillations and waves during the discussion of quantum mechanical waves. Features: Fully updated throughout and featuring new widgets, animations, and end of chapter exercises to enhance understanding Offers complete coverage of advanced topics in waves, such as electromagnetic wave propagation through the ionosphere Includes examples from mechanical systems, elastic solids, electronic circuits, optical systems, and other areas

Introduction to Fluid-Structure Interactions

Author : Yahya Modarres-Sadeghi
Publisher : Springer Nature
ISBN 13 : 3030858847
Total Pages : 238 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Introduction to Fluid-Structure Interactions by : Yahya Modarres-Sadeghi

Download or read book Introduction to Fluid-Structure Interactions written by Yahya Modarres-Sadeghi and published by Springer Nature. This book was released on 2022-02-07 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: This timely book introduces the subject of Fluid-Structure Interactions (FSI) to students and professionals. It discusses the major ideas in FSI with the goal of providing the fundamental understanding to the readers who possess limited or no understanding of the subject. The author presents the physics of the problem, rather than focusing on the methods, and discusses the essential methods of analysis. The principle goal of Introduction to Fluid-Structure Interactions is impart to students and practitioner a physical understanding of major topics in fluid-structure interactions: axial flow problems (when the direction of the flow is parallel to the long axis of the structure) and crossflow problems (when the direction of the flow is normal to the long axis of the structure). Facilitating readers’ understanding of both categories, starting with simple 1 DOF systems and continuing to more complicated continuous flexible structures, Introduction to Fluid-Structure Interactions, is ideal for graduate students and practitioners interested in this critical field. Stands as a unique introductory volume to study Fluid-Structure Interactions (FSI); Covers aspects of FSI relevant to Fluid Mechanics, Wind Energy, Ocean Engineering, and Biomedical research; Integrates most recent findings from research on FSI; Emphasizes the physics behind the phenomena in detail; Maximizes readers understanding by beginning with fundamental concepts and developing focus to more complex systems.

Advances in Cognitive Research, Artificial Intelligence and Neuroinformatics

Author : Boris M. Velichkovsky
Publisher : Springer Nature
ISBN 13 : 3030716376
Total Pages : 741 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Advances in Cognitive Research, Artificial Intelligence and Neuroinformatics by : Boris M. Velichkovsky

Download or read book Advances in Cognitive Research, Artificial Intelligence and Neuroinformatics written by Boris M. Velichkovsky and published by Springer Nature. This book was released on 2021-04-17 with total page 741 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reports on theoretical and experimental research answering key questions in neuroscience, philosophy of mind, and cognitive research. It gives a special emphasis on findings achieved within the territory of the former U.S.S.R, which has remained largely unknown to an international readership. The volume gathers authoritative studies on cognitive development, consciousness, attention and perception. It covers research on eye movements, language, speech and semantics, emotion, as well as brain functional states, and a variety of decision-making processes. It also highlights important advances in cognitive robotics and artificial intelligence, discussing brain-computer interfaces and other practically-relevant technologies. It includes studies on human subjects, in both healthy and disease conditions, and investigations on the molecular mechanisms of cognition in animal models. Chapters are based on invited lectures and peer-reviewed contributions to the 9th International Conference on Cognitive Sciences, Intercognsci–2020, held on October 10-16, 2020, in Moscow. The conference was organized by the Interregional Association of Cognitive Studies, with the participation of the Pavlov Society for Neurophysiology and Higher Nervous Activity, and supported by the Russian Academy of Sciences, the Russian Foundation for Basic Research and a number of the north eastern European research institutions. All in all, this book provides cognitive scientists around the world with a timely snapshot of interdisciplinary research and cutting-edge models, and a major source of inspiration for future collaborations in the areas of artificial intelligence and cognitive neuroscience.

Topics in Modal Analysis & Parameter Identification, Volume 9

Author : Brandon J. Dilworth
Publisher : Springer Nature
ISBN 13 : 3031349423
Total Pages : 212 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Topics in Modal Analysis & Parameter Identification, Volume 9 by : Brandon J. Dilworth

Download or read book Topics in Modal Analysis & Parameter Identification, Volume 9 written by Brandon J. Dilworth and published by Springer Nature. This book was released on 2023-12-08 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topics in Modal Analysis, Testing & Parameter Identification, Volume 9: Proceedings of the 41st IMAC, A Conference and Exposition on Structural Dynamics, 2023, the ninth volume of ten from the Conference brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Modal Analysis, Modal Testing and Modal Parameter Identification including papers on: Analytical Methods Modal Applications Basics of Modal Analysis Experimental Techniques Operational Modal Analysis Modal Parameter Identification Novel Techniques Rotating Machinery Additive Manufacturing Applications Biomedical Applications

An Introduction to Nonlinear Partial Differential Equations

Author : J. David Logan
Publisher : John Wiley & Sons
ISBN 13 : 0470225955
Total Pages : 416 pages
Book Rating : 4.4/5 (72 download)

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Book Synopsis An Introduction to Nonlinear Partial Differential Equations by : J. David Logan

Download or read book An Introduction to Nonlinear Partial Differential Equations written by J. David Logan and published by John Wiley & Sons. This book was released on 2008-04-11 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the First Edition: "This book is well conceived and well written. The author has succeeded in producing a text on nonlinear PDEs that is not only quite readable but also accessible to students from diverse backgrounds." —SIAM Review A practical introduction to nonlinear PDEs and their real-world applications Now in a Second Edition, this popular book on nonlinear partial differential equations (PDEs) contains expanded coverage on the central topics of applied mathematics in an elementary, highly readable format and is accessible to students and researchers in the field of pure and applied mathematics. This book provides a new focus on the increasing use of mathematical applications in the life sciences, while also addressing key topics such as linear PDEs, first-order nonlinear PDEs, classical and weak solutions, shocks, hyperbolic systems, nonlinear diffusion, and elliptic equations. Unlike comparable books that typically only use formal proofs and theory to demonstrate results, An Introduction to Nonlinear Partial Differential Equations, Second Edition takes a more practical approach to nonlinear PDEs by emphasizing how the results are used, why they are important, and how they are applied to real problems. The intertwining relationship between mathematics and physical phenomena is discovered using detailed examples of applications across various areas such as biology, combustion, traffic flow, heat transfer, fluid mechanics, quantum mechanics, and the chemical reactor theory. New features of the Second Edition also include: Additional intermediate-level exercises that facilitate the development of advanced problem-solving skills New applications in the biological sciences, including age-structure, pattern formation, and the propagation of diseases An expanded bibliography that facilitates further investigation into specialized topics With individual, self-contained chapters and a broad scope of coverage that offers instructors the flexibility to design courses to meet specific objectives, An Introduction to Nonlinear Partial Differential Equations, Second Edition is an ideal text for applied mathematics courses at the upper-undergraduate and graduate levels. It also serves as a valuable resource for researchers and professionals in the fields of mathematics, biology, engineering, and physics who would like to further their knowledge of PDEs.

A Study of Plasma Interaction with Traveling Waves

Author : Sungik Francis Paik
Publisher :
ISBN 13 :
Total Pages : 146 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis A Study of Plasma Interaction with Traveling Waves by : Sungik Francis Paik

Download or read book A Study of Plasma Interaction with Traveling Waves written by Sungik Francis Paik and published by . This book was released on 1961 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: Properties of a transmission system consisting of a plasma column and a slow-wave circuit are investigated. The effect of the presence of plasma on the natural propagating mode of the circuit is investigated, including the secondorder effects in plasma. A study of coupled modes of propagation involving a helix and a space-charge mode of the plasma column is presented. The experimental work carried out to measure the coupled modes of propagation is described. The parametric gain of a forward-wave amplifier, using a helix as the traveling-wave circuit, is calculated using the measured values of circuit parameters. (Author).

8th International Conference on Computing, Control and Industrial Engineering (CCIE2024)

Author : Yuriy S. Shmaliy
Publisher : Springer Nature
ISBN 13 : 9819769345
Total Pages : 605 pages
Book Rating : 4.8/5 (197 download)

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Book Synopsis 8th International Conference on Computing, Control and Industrial Engineering (CCIE2024) by : Yuriy S. Shmaliy

Download or read book 8th International Conference on Computing, Control and Industrial Engineering (CCIE2024) written by Yuriy S. Shmaliy and published by Springer Nature. This book was released on with total page 605 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Physics of Waves

Author : Howard Georgi
Publisher : Addison Wesley Publishing Company
ISBN 13 :
Total Pages : 442 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Physics of Waves by : Howard Georgi

Download or read book The Physics of Waves written by Howard Georgi and published by Addison Wesley Publishing Company. This book was released on 1993 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first complete introduction to waves and wave phenomena by a renowned theorist. Covers damping, forced oscillations and resonance; normal modes; symmetries; traveling waves; signals and Fourier analysis; polarization; diffraction.

Waves and Oscillations

Author : Walter Fox Smith
Publisher : Oxford University Press
ISBN 13 : 019539349X
Total Pages : 416 pages
Book Rating : 4.1/5 (953 download)

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Book Synopsis Waves and Oscillations by : Walter Fox Smith

Download or read book Waves and Oscillations written by Walter Fox Smith and published by Oxford University Press. This book was released on 2010-05-20 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This lively textbook differs from others on the subject by its usefulness as a conceptual and mathematical preparation for the study of quantum mechanics, by its emphasis on a variety of learning tools aimed at fostering the student's self-awareness of learning, and by its frequent connections to current research.