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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.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Krylov Subspace Spectral method with multigrid for a time-dependent, variable-coefficient partial differential equation.
作者:	Dozier, Haley Renee.
出版者:	Ann Arbor : ProQuest Dissertations & Theses, 2016
面頁冊數:	35 p.
附註:	Source: Masters Abstracts International, Volume: 55-06.
附註:	Adviser: James Lambers.
Contained By:	Masters Abstracts International55-06(E).
標題:	Mathematics.
電子資源:	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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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.
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