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020 _a9789811049231
_9978-981-10-4923-1
024 7 _a10.1007/978-981-10-4923-1
_2doi
050 4 _aTA349-359
072 7 _aTGMD
_2bicssc
072 7 _aSCI096000
_2bisacsh
072 7 _aTGMD
_2thema
082 0 4 _a620.105
_223
100 1 _aSelezov, Igor T.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_957292
245 1 0 _aWave Propagation and Diffraction
_h[electronic resource] :
_bMathematical Methods and Applications /
_cby Igor T. Selezov, Yuriy G. Kryvonos, Ivan S. Gandzha.
250 _a1st ed. 2018.
264 1 _aSingapore :
_bSpringer Nature Singapore :
_bImprint: Springer,
_c2018.
300 _aXV, 241 p. 65 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aFoundations of Engineering Mechanics,
_x1860-6237
505 0 _aSome 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.
520 _aThis book presents two distinct aspects of wave dynamics – wave propagation and diffraction – with a focus on wave diffraction. The authors apply different mathematical methods to the solution of typical problems in the theory of wave propagation and diffraction and analyze the obtained results. The rigorous diffraction theory distinguishes three approaches: the method of surface currents, where the diffracted field is represented as a superposition of secondary spherical waves emitted by each element (the Huygens–Fresnel principle); the Fourier method; and the separation of variables and Wiener–Hopf transformation method. 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 t he refraction of surface 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.
650 0 _aMechanics, Applied.
_93253
650 0 _aSolids.
_93750
650 0 _aElectrodynamics.
_93703
650 0 _aNumerical analysis.
_94603
650 0 _aMaterials—Analysis.
_957293
650 0 _aCrystallography.
_93062
650 1 4 _aSolid Mechanics.
_931612
650 2 4 _aClassical Electrodynamics.
_931625
650 2 4 _aNumerical Analysis.
_94603
650 2 4 _aCharacterization and Analytical Technique.
_957294
650 2 4 _aCrystallography and Scattering Methods.
_953527
700 1 _aKryvonos, Yuriy G.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_957295
700 1 _aGandzha, Ivan S.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_957296
710 2 _aSpringerLink (Online service)
_957297
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9789811049224
776 0 8 _iPrinted edition:
_z9789811049248
776 0 8 _iPrinted edition:
_z9789811352676
830 0 _aFoundations of Engineering Mechanics,
_x1860-6237
_957298
856 4 0 _uhttps://doi.org/10.1007/978-981-10-4923-1
912 _aZDB-2-ENG
912 _aZDB-2-SXE
942 _cEBK
999 _c79914
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