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An efficient exponential time differ...

Janssen, Britta.

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An efficient exponential time differencing method for nonlinear reaction diffusion problems.

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	An efficient exponential time differencing method for nonlinear reaction diffusion problems./
作者:	Janssen, Britta.
面頁冊數:	174 p.
附註:	Source: Dissertation Abstracts International, Volume: 71-04, Section: B, page: 2475.
Contained By:	Dissertation Abstracts International71-04B.
標題:	Applied Mathematics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3405080
ISBN:	9781109700589

An efficient exponential time differencing method for nonlinear reaction diffusion problems.
Janssen, Britta.

An efficient exponential time differencing method for nonlinear reaction diffusion problems. - 174 p.

Source: Dissertation Abstracts International, Volume: 71-04, Section: B, page: 2475.

Thesis (Ph.D.)--The University of Wisconsin - Milwaukee, 2009.

A new fully discrete Exponential Time Differencing Runge-Kutta scheme for inhomogeneous parabolic partial differential equations is developed. In space we utilize the diagonal Pade scheme R1,1( z) as second order approximation to the exponential function e-z. For non-smooth initial data we use two to four steps of a lower order scheme as damping device. We prove second order convergence and show numerical experiments for a wide variety of examples supporting this result. Additionally, we apply it to a system of three partial differential equations modeling bacterial growth and to pricing of financial options in the presence of transaction costs with non-smooth payoffs.

ISBN: 9781109700589Subjects--Topical Terms:

1669109
Applied Mathematics.

An efficient exponential time differencing method for nonlinear reaction diffusion problems.
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245 1 3 $a An efficient exponential time differencing method for nonlinear reaction diffusion problems.
300 $a 174 p.
500 $a Source: Dissertation Abstracts International, Volume: 71-04, Section: B, page: 2475.
500 $a Adviser: Bruce A. Wade.
502 $a Thesis (Ph.D.)--The University of Wisconsin - Milwaukee, 2009.
520 $a A new fully discrete Exponential Time Differencing Runge-Kutta scheme for inhomogeneous parabolic partial differential equations is developed. In space we utilize the diagonal Pade scheme R1,1( z) as second order approximation to the exponential function e-z. For non-smooth initial data we use two to four steps of a lower order scheme as damping device. We prove second order convergence and show numerical experiments for a wide variety of examples supporting this result. Additionally, we apply it to a system of three partial differential equations modeling bacterial growth and to pricing of financial options in the presence of transaction costs with non-smooth payoffs.
590 $a School code: 0263.
650 4 $a Applied Mathematics. $3 1669109
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710 2 $a The University of Wisconsin - Milwaukee. $3 1019345
773 0 $t Dissertation Abstracts International $g 71-04B.
790 1 0 $a Wade, Bruce A., $e advisor
790 $a 0263
791 $a Ph.D.
792 $a 2009
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3405080