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101 0 $aeng
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200 10$aParabolic Wave Equations with Applications /$fby Michael D. Collins, William L. Siegmann
205   $a1st ed. 2019.
210  1$aNew York, NY :$cSpringer New York :$cImprint: Springer,$d2019.
215   $a1 online resource (IX, 135 p. 74 illus., 37 illus. in color.) 
311 08$a1-4939-9932-X 
330   $aThis 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.
606   $aAcoustics
606   $aNumerical analysis
606   $aOceanography
606   $aDifferential equations, Partial
606   $aGeophysics
606   $aAcoustics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21069
606   $aNumerical Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M14050
606   $aOceanography$3https://scigraph.springernature.com/ontologies/product-market-codes/G25005
606   $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155
606   $aGeophysics/Geodesy$3https://scigraph.springernature.com/ontologies/product-market-codes/G18009
615  0$aAcoustics.
615  0$aNumerical analysis.
615  0$aOceanography.
615  0$aDifferential equations, Partial.
615  0$aGeophysics.
615 14$aAcoustics.
615 24$aNumerical Analysis.
615 24$aOceanography.
615 24$aPartial Differential Equations.
615 24$aGeophysics/Geodesy.
676   $a534
700   $aCollins$b Michael D$4aut$4http://id.loc.gov/vocabulary/relators/aut$058770
702   $aSiegmann$b William L$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910373935003321
996   $aParabolic Wave Equations with Applications$92527169
997   $aUNINA