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Absorbing Boundary Conditions and Nu...

Prigge, David K.

Absorbing Boundary Conditions and Numerical Methods for the Linearized Water Wave Equation in 1 and 2 Dimensions.

Record Type:	Language materials, manuscript : Monograph/item
Title/Author:	Absorbing Boundary Conditions and Numerical Methods for the Linearized Water Wave Equation in 1 and 2 Dimensions./
Author:	Prigge, David K.
Description:	1 online resource (105 pages)
Notes:	Source: Dissertation Abstracts International, Volume: 78-07(E), Section: B.
Contained By:	Dissertation Abstracts International78-07B(E).
Subject:	Applied mathematics. -
Online resource:	click for full text (PQDT)
ISBN:	9781369589603

Absorbing Boundary Conditions and Numerical Methods for the Linearized Water Wave Equation in 1 and 2 Dimensions.
Prigge, David K.

Absorbing Boundary Conditions and Numerical Methods for the Linearized Water Wave Equation in 1 and 2 Dimensions. - 1 online resource (105 pages)

Source: Dissertation Abstracts International, Volume: 78-07(E), Section: B.

Thesis (Ph.D.)

Includes bibliographical references

The linearized water wave equation (WWE) models incompressible, irrotational, inviscid free surface flows in deep water. We will investigate the WWE in both one and two spatial dimensions and derive nonreflecting boundary conditions for both. We will calculate numerical solutions for a fractional PDE arising as a nonreflecting boundary condition to the 1-D and 2-D WWE and discuss convergence and stability of the numerical methods. The nonreflecting boundary conditions will be implemented in a boundary layer around the computational domain.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018

Mode of access: World Wide Web

ISBN: 9781369589603Subjects--Topical Terms:

1069907
Applied mathematics.
Index Terms--Genre/Form:

554714
Electronic books.

Absorbing Boundary Conditions and Numerical Methods for the Linearized Water Wave Equation in 1 and 2 Dimensions.
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035 $a (MiAaPQ)umichrackham:000271
035 $a AAI10391750
040 $a MiAaPQ $b eng $c MiAaPQ
099 $a TUL $f hyy $c available through World Wide Web
100 1 $a Prigge, David K. $3 1180802
245 1 0 $a Absorbing Boundary Conditions and Numerical Methods for the Linearized Water Wave Equation in 1 and 2 Dimensions.
264 0 $c 2016
300 $a 1 online resource (105 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
500 $a Source: Dissertation Abstracts International, Volume: 78-07(E), Section: B.
500 $a Advisers: Smadar Karni; Remi Abgrall.
502 $a Thesis (Ph.D.) $c University of Michigan $d 2016.
504 $a Includes bibliographical references
520 $a The linearized water wave equation (WWE) models incompressible, irrotational, inviscid free surface flows in deep water. We will investigate the WWE in both one and two spatial dimensions and derive nonreflecting boundary conditions for both. We will calculate numerical solutions for a fractional PDE arising as a nonreflecting boundary condition to the 1-D and 2-D WWE and discuss convergence and stability of the numerical methods. The nonreflecting boundary conditions will be implemented in a boundary layer around the computational domain.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2018
538 $a Mode of access: World Wide Web
650 4 $a Applied mathematics. $3 1069907
655 7 $a Electronic books. $2 local $3 554714
690 $a 0364
710 2 $a ProQuest Information and Learning Co. $3 1178819
710 2 $a University of Michigan. $b Applied and Interdisciplinary Mathematics. $3 1180800
773 0 $t Dissertation Abstracts International $g 78-07B(E).
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10391750 $z click for full text (PQDT)

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