Parabolic Wave Equations With Applications
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Parabolic Wave Equations With Applications
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Author : Michael D. Collins
language : en
Publisher: Springer Nature
Release Date : 2019-11-04
Parabolic Wave Equations With Applications written by Michael D. Collins and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-04 with Science categories.
This book introduces parabolic wave equations, their key methods of numerical solution, and applications in seismology and ocean acoustics. The parabolic equation method provides an appealing combination of accuracy and efficiency for many nonseparable wave propagation problems in geophysics. While the parabolic equation method was pioneered in the 1940s by Leontovich and Fock who applied it to radio wave propagation in the atmosphere, it thrived in the 1970s due to its usefulness in seismology and ocean acoustics. The book covers progress made following the parabolic equation’s ascendancy in geophysics. It begins with the necessary preliminaries on the elliptic wave equation and its analysis from which the parabolic wave equation is derived and introduced. Subsequently, the authors demonstrate the use of rational approximation techniques, the Padé solution in particular, to find numerical solutions to the energy-conserving parabolic equation, three-dimensional parabolic equations, and horizontal wave equations. The rest of the book demonstrates applications to seismology, ocean acoustics, and beyond, with coverage of elastic waves, sloping interfaces and boundaries, acousto-gravity waves, and waves in poro-elastic media. Overall, it will be of use to students and researchers in wave propagation, ocean acoustics, geophysical sciences and more.
Parabolic Equation Methods For Electromagnetic Wave Propagation
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Author : Mireille Levy
language : en
Publisher: IET
Release Date : 2000
Parabolic Equation Methods For Electromagnetic Wave Propagation written by Mireille Levy and has been published by IET this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
Provides scientists and engineers with a tool for accurate assessment of diffraction and ducting on radio and radar systems. The author gives the mathematical background to parabolic equations modeling and describes simple parabolic equation algorithms before progressing to more advanced topics such as domain truncation, the treatment of impedance boundaries, and the implementation of very fast hybrid methods combining ray-tracing and parabolic equation techniques. The last three chapters are devoted to scattering problems, with application to propagation in urban environments and to radar-cross- section computation. Annotation copyrighted by Book News, Inc., Portland, OR
Radio Wave Propagation And Parabolic Equation Modeling
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Author : Gokhan Apaydin
language : en
Publisher: John Wiley & Sons
Release Date : 2017-10-16
Radio Wave Propagation And Parabolic Equation Modeling written by Gokhan Apaydin 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 2017-10-16 with Science categories.
An important contribution to the literature that introduces powerful new methods for modeling and simulating radio wave propagation A thorough understanding of electromagnetic wave propagation is fundamental to the development of sophisticated communication and detection technologies. The powerful numerical methods described in this book represent a major step forward in our ability to accurately model electromagnetic wave propagation in order to establish and maintain reliable communication links, to detect targets in radar systems, and to maintain robust mobile phone and broadcasting networks. The first new book on guided wave propagation modeling and simulation to appear in nearly two decades, Radio Wave Propagation and Parabolic Equation Modeling addresses the fundamentals of electromagnetic wave propagation generally, with a specific focus on radio wave propagation through various media. The authors explore an array of new applications, and detail various virtual electromagnetic tools for solving several frequent electromagnetic propagation problems. All of the methods described are presented within the context of real-world scenarios typifying the differing effects of various environments on radio-wave propagation. This valuable text: Addresses groundwave and surface wave propagation Explains radar applications in terms of parabolic equation modeling and simulation approaches Introduces several simple and sophisticated MATLAB scripts Teaches applications that work with a wide range of electromagnetic, acoustic and optical wave propagation modeling Presents the material in a quick-reference format ideal for busy researchers and engineers Radio Wave Propagation and Parabolic Equation Modeling is a critical resource forelectrical, electronics, communication, and computer engineers working on industrial and military applications that rely on the directed propagation of radio waves. It is also a useful reference for advanced engineering students and academic researchers.
Parabolic Equations In Biology
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Author : Benoît Perthame
language : en
Publisher: Springer
Release Date : 2015-09-09
Parabolic Equations In Biology written by Benoît Perthame and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-09-09 with Mathematics categories.
This book presents several fundamental questions in mathematical biology such as Turing instability, pattern formation, reaction-diffusion systems, invasion waves and Fokker-Planck equations. These are classical modeling tools for mathematical biology with applications to ecology and population dynamics, the neurosciences, enzymatic reactions, chemotaxis, invasion waves etc. The book presents these aspects from a mathematical perspective, with the aim of identifying those qualitative properties of the models that are relevant for biological applications. To do so, it uncovers the mechanisms at work behind Turing instability, pattern formation and invasion waves. This involves several mathematical tools, such as stability and instability analysis, blow-up in finite time, asymptotic methods and relative entropy properties. Given the content presented, the book is well suited as a textbook for master-level coursework.
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
Second Order Parabolic Differential Equations
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Author : Gary M. Lieberman
language : en
Publisher: World Scientific
Release Date : 1996
Second Order Parabolic Differential Equations written by Gary M. Lieberman and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
Introduction. Maximum principles. Introduction to the theory of weak solutions. Hölder estimates. Existence, uniqueness, and regularity of solutions. Further theory of weak solutions. Strong solutions. Fixed point theorems and their applications. Comparison and maximum principles. Boundary gradient estimates. Global and local gradient bounds. Hölder gradient estimates and existence theorems. The oblique derivative problem for quasilinear parabolic equations. Fully nonlinear equations. Introduction. Monge-Ampère and Hessian equations.
Advances In Underwater Acoustics Structural Acoustics And Computational Methodologies In 4 Volumes
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Author : Sean F Wu
language : en
Publisher: World Scientific
Release Date : 2025-04-29
Advances In Underwater Acoustics Structural Acoustics And Computational Methodologies In 4 Volumes written by Sean F Wu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-29 with Technology & Engineering categories.
This set of volumes encompasses the study of acoustics to diverse environments ranging from underwater and marine environments, to structural and civil engineering, computational models and aerospace engineering. Each volume comprises peer-reviewed publications in the related field of acoustics from the past decade, arranged such as to review the existing literature, examine new methodologies and then explore novel applications of pioneering acoustic principles. With contributions by eminent acoustics researchers, this set holds key insights for fellow acoustics researchers and engineers of any field impacted by acoustic phenomena.Volume 1's review chapters summarise theories like geoacoustic inversion as well as criticism of the Biot theory of propagation in fluid-saturated porous solids, while the new methodologies shown range from an efficient and stable coupled-mode solution to a cell-based smoothed radial point interpolation method. The book concludes with promising applications like experimental evidence of horizontal refraction and bottom attenuation coefficient inversion.Volume 2 reviews topics including radiation boundary conditions for the Helmholtz equation, and analytical interpretation of the early literature on the theory of vibrations. The methodologies range from coupled boundary element and energy flow method as well as sound radiation of a line source. The work concludes with promising applications like Lamb Waves in a poroelastic plate and experimental validations of reconstructed excitation forces acting inside a solid enclosure.Volume 3 provides summaries of theories including the benchmark study on eigenfrequencies of fluid-loaded structures, and the Burton and Miller method, while the new methodologies presented range from a coupled boundary element and energy flow method, to an efficient approach to the simulation of acoustic radiation. The volume concludes with promising applications like a comparison of transient infinite elements and transient Kirchhoff integral methods, as well as a fast multi-frequency iterative acoustic boundary element method.Volume 4 depicts the context of conventional methodologies including short-wave components and Galbrun's equation, while its new methodologies range from radiation and outflow boundary conditions for direct computation of acoustic and flow disturbances to the effect of airfoil shape on trailing edge noise. The collection concludes with promising applications like helicopter noise predictions and conservative source interpolation methods for aeroacoustics.
Computational Science And Its Applications Iccsa 2021
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Author : Osvaldo Gervasi
language : en
Publisher: Springer Nature
Release Date : 2021-09-09
Computational Science And Its Applications Iccsa 2021 written by Osvaldo Gervasi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-09 with Computers categories.
The ten-volume set LNCS 12949 – 12958 constitutes the proceedings of the 21st International Conference on Computational Science and Its Applications, ICCSA 2021, which was held in Cagliari, Italy, during September 13 – 16, 2021. The event was organized in a hybrid mode due to the Covid-19 pandemic.The 466 full and 18 short papers presented in these proceedings were carefully reviewed and selected from 1588 submissions. The books cover such topics as multicore architectures, mobile and wireless security, sensor networks, open source software, collaborative and social computing systems and tools, cryptography, human computer interaction, software design engineering, and others. Part I of the set follows two general tracks: computational methods, algorithms, and scientific applications; high performance computing and networks.
Numerical Mathematics And Applications
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Author : J. Vignes
language : en
Publisher: Elsevier
Release Date : 2014-06-28
Numerical Mathematics And Applications written by J. Vignes and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-28 with Mathematics categories.
Numerical Mathematics and Applications