LEADER 03752nam 22006495 450 001 9910373935003321 005 20250609111345.0 010 $a1-4939-9934-6 024 7 $a10.1007/978-1-4939-9934-7 035 $a(CKB)4100000009759141 035 $a(DE-He213)978-1-4939-9934-7 035 $a(MiAaPQ)EBC5971778 035 $a(PPN)269147217 035 $a(MiAaPQ)EBC5971509 035 $a(EXLCZ)994100000009759141 100 $a20191104d2019 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$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 LEADER 02038nas 2200685- 450 001 9910679702403321 005 20240113213019.0 035 $a(DE-599)ZDB2559686-X 035 $a(OCoLC)958649445 035 $a(CKB)991042742072608 035 $a(CONSER)--2021245504 035 $a(EXLCZ)99991042742072608 100 $a20160919a19uu9999 --- - 101 0 $acze 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 00$aActa Oeconomica Pragensia 210 1$aPraha :$cVysoká s?kola ekonomická 215 $a1 online resource 300 $aRefereed/Peer-reviewed 311 08$a0572-3043 517 1 $aAOP 531 0 $aActa Oecon. Prag. 606 $aEconomic history 606 $aEconomics 606 $aIndustrial management 606 $aEconomics 606 $aHistoire économique 606 $aÉconomie politique 606 $aGestion d'entreprise 606 $aeconomics$2aat 606 $aEconomic history$2fast$3(OCoLC)fst00901974 606 $aEconomics$2fast$3(OCoLC)fst00902116 606 $aIndustrial management$2fast$3(OCoLC)fst00971246 607 $aCzechoslovakia$xEconomic conditions$y1945-1992 607 $aTchécoslovaquie$xConditions économiques$y1945-1992 607 $aCzechoslovakia$2fast 608 $aPeriodicals.$2fast 608 $aPeriodical. 608 $aperiodicals.$2aat 608 $aPeriodicals.$2lcgft 608 $aPériodiques.$2rvmgf 615 0$aEconomic history. 615 0$aEconomics. 615 0$aIndustrial management. 615 2$aEconomics. 615 6$aHistoire économique. 615 6$aÉconomie politique. 615 6$aGestion d'entreprise. 615 7$aeconomics. 615 7$aEconomic history. 615 7$aEconomics. 615 7$aIndustrial management. 712 02$aVysoka? s?kola ekonomicka? v Praze, 906 $aJOURNAL 912 $a9910679702403321 996 $aActa oeconomica Pragensia$91888187 997 $aUNINA