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Parabolic wave equations with applic...

Collins, Michael D.

Parabolic wave equations with applications

Record Type:	Electronic resources : Monograph/item
Title/Author:	Parabolic wave equations with applicationsby Michael D. Collins, William L. Siegmann.
Author:	Collins, Michael D.
other author:	Siegmann, William L.
Published:	New York, NY :Springer New York :2019.
Description:	ix, 135 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Wave equation.
Online resource:	https://doi.org/10.1007/978-1-4939-9934-7
ISBN:	9781493999347$q(electronic bk.)

Parabolic wave equations with applications
Collins, Michael D.

Parabolic wave equations with applications[electronic resource] /by Michael D. Collins, William L. Siegmann. - New York, NY :Springer New York :2019. - ix, 135 p. :ill., digital ;24 cm.

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 Pade 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.

ISBN: 9781493999347$q(electronic bk.)

Standard No.: 10.1007/978-1-4939-9934-7doiSubjects--Topical Terms:

281570
Wave equation.

LC Class. No.: QC174.26.W28 / C65 2019

Dewey Class. No.: 515.353

Parabolic wave equations with applications
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100 1 $a Collins, Michael D. $3 878848
245 1 0 $a Parabolic wave equations with applications $h [electronic resource] / $c by Michael D. Collins, William L. Siegmann.
260 $a New York, NY : $b Springer New York : $b Imprint: Springer, $c 2019.
300 $a ix, 135 p. : $b ill., digital ; $c 24 cm.
520 $a 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 Pade 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.
650 0 $a Wave equation. $3 281570
650 0 $a Differential equations, Parabolic. $3 247280
650 1 4 $a Acoustics. $3 242702
650 2 4 $a Numerical Analysis. $3 275681
650 2 4 $a Oceanography. $3 194643
650 2 4 $a Partial Differential Equations. $3 274075
650 2 4 $a Geophysics/Geodesy. $3 274000
700 1 $a Siegmann, William L. $3 878849
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-1-4939-9934-7
950 $a Physics and Astronomy (SpringerNature-11651)