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Krylov Subspace Spectral method with...

Dozier, Haley Renee.

Krylov Subspace Spectral method with multigrid for a time-dependent, variable-coefficient partial differential equation.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Krylov Subspace Spectral method with multigrid for a time-dependent, variable-coefficient partial differential equation.
Author:	Dozier, Haley Renee.
Published:	Ann Arbor : ProQuest Dissertations & Theses, 2016
Description:	35 p.
Notes:	Source: Masters Abstracts International, Volume: 55-06.
Notes:	Adviser: James Lambers.
Contained By:	Masters Abstracts International55-06(E).
Subject:	Mathematics.
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10142357
ISBN:	9781339976716

Krylov Subspace Spectral method with multigrid for a time-dependent, variable-coefficient partial differential equation.
Dozier, Haley Renee.

Krylov Subspace Spectral method with multigrid for a time-dependent, variable-coefficient partial differential equation. - Ann Arbor : ProQuest Dissertations & Theses, 2016 - 35 p.

Source: Masters Abstracts International, Volume: 55-06.

Thesis (M.S.)--The University of Southern Mississippi, 2016.

Krylov Subspace Spectral (KSS) methods are traditionally used to solve time-dependent, variable-coefficient PDEs. They are high-order accurate, component-wise methods that are efficient with variable input sizes.

ISBN: 9781339976716Subjects--Topical Terms:

184409
Mathematics.

Krylov Subspace Spectral method with multigrid for a time-dependent, variable-coefficient partial differential equation.
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100 1 $a Dozier, Haley Renee. $0 (orcid)0000-0003-2852-3914 $3 766120
245 1 0 $a Krylov Subspace Spectral method with multigrid for a time-dependent, variable-coefficient partial differential equation.
260 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2016
300 $a 35 p.
500 $a Source: Masters Abstracts International, Volume: 55-06.
500 $a Adviser: James Lambers.
502 $a Thesis (M.S.)--The University of Southern Mississippi, 2016.
520 $a Krylov Subspace Spectral (KSS) methods are traditionally used to solve time-dependent, variable-coefficient PDEs. They are high-order accurate, component-wise methods that are efficient with variable input sizes.
520 $a This thesis will demonstrate how one can make KSS methods even more efficient by using a Multigrid-like approach for low-frequency components. The essential ingredients of Multigrid, such as restriction, residual correction, and prolongation, are adapted to the time dependent case. Then a comparison of KSS, KSS with Multigrid, KSS-EPI and standard Krylov projection methods will be demonstrated.
590 $a School code: 0211.
650 4 $a Mathematics. $3 184409
650 4 $a Applied mathematics. $3 377601
650 4 $a Computer science. $3 199325
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710 2 $a The University of Southern Mississippi. $b Mathematics. $3 766121
773 0 $t Masters Abstracts International $g 55-06(E).
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791 $a M.S.
792 $a 2016
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10142357