Wave Propagation and Diffraction
Springer Verlag, Singapore
978-981-13-5267-6 (ISBN)
Chapter 1 presents mathematical methods related to studying the problems of wave diffraction theory, while Chapter 2 deals with spectral methods in the theory of wave propagation, focusing mainly on the Fourier methods to study the Stokes (gravity) waves on the surface of inviscid fluid. Chapter 3 then presents some results of modeling the refraction of surf
ace gravity waves on the basis of the ray method, which originates from geometrical optics. Chapter 4 is devoted to the diffraction of surface gravity waves and the final two chapters discuss the diffraction of waves by semi-infinite domains on the basis of method of images and present some results on the problem of propagation of tsunami waves.
Lastly, it provides insights into directions for further developing the wave diffraction theory.
Prof. Igor Selezov is a head of the Department of Hydrodynamics of Wave Processes at the Institute of Hydromechanics of the National Academy of Sciences of Ukraine (Kyiv, Ukraine). His scientific interests include wave processes in liquid and elastic media, wave diffraction, magnetohydrodynamics, wave biohydrodynamics. He is an author of more than 400 scientific publications and 12 monographs. Prof. Selezov is an Honoured Science and Engineering Worker of Ukraine, Foreign Member of GAMM (Gesellschaft für Angewandte Mathematik und Mechanik), a fellow of the National Committee on Theoretical and Applied Mechanics of Ukraine. Prof. Yuriy Kryvonos is a member of the National Academy of Sciences of Ukraine. Hi is a vice-director of the Institute of Cybernetics of the National Academy of Sciences of Ukraine (Kyiv, Ukraine). His scientific interests include computer technologies, wave propagation and diffraction, identification of wave processes, controlling of dynami c objects. He is an author of more than 300 scientific publications and several monographs. Prof. Kryvonos is an Honored Worker of Ukraine in the field of science and technology. Dr. Ivan Gandzha is a senior research fellow at the Department of Theoretical Physics at the Institute of Physics of the National Academy of Sciences of Ukraine (Kyiv, Ukraine). His scientific interests include the theory of nonlinear waves, solitons and chaos, nonlinear vibrations. He is an author of more than 30 scientific publications and one monograph. Dr. Gandzha is a member of the Editorial board of the Ukrainian Journal of Physics.
Some Analytical and Numerical Methods in the Theory of Wave Propagation and Diffraction .- Spectral Methods in the Theory of Wave Propagation.- Ray Method of Investigating the Wave Evolution over Arbitrary Topography.- Analytical and Numerical Solutions of Wave Diffraction Problems.- Wave Diffraction by Convex Bodies in Semibounded Regions.- Propagation and Evolution of Transient Water Waves.
| Erscheinungsdatum | 20.12.2018 |
|---|---|
| Reihe/Serie | Foundations of Engineering Mechanics |
| Zusatzinfo | 65 Illustrations, black and white; XV, 241 p. 65 illus. |
| Verlagsort | Singapore |
| Sprache | englisch |
| Original-Titel | MATHEMATICAL METHODS IN THE PROBLEMS OF WAVE PROPAGATION AND DIFFRACTION |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Naturwissenschaften ► Physik / Astronomie ► Elektrodynamik | |
| Naturwissenschaften ► Physik / Astronomie ► Optik | |
| Technik ► Maschinenbau | |
| Schlagworte | auxiliary boundary • Diffraction in convex bodies • Fourier expansions • Laplace transform • Meixner boundary conditions • Spline functions • Split-step Fourier • Stokes waves • tsunami wave propagation • underwater earthquakes • water wave refraction |
| ISBN-10 | 981-13-5267-4 / 9811352674 |
| ISBN-13 | 978-981-13-5267-6 / 9789811352676 |
| Zustand | Neuware |
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