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Semi-implicit spectral deferred correction methods for ordinary differential equations
A semi-implicit formulation of the method of spectral deferred corrections (SISDC) for ordinary differential equations with both stiff and non-stiff terms is presented. Several modifications and variations to the original spectral deferred corrections method by Dutt, Greengard, and Rokhlin concerning the choice of integration points and the form of the correction iteration are presented. The stability and accuracy of the resulting ODE methods are explored analytically and numerically. The SISDC methods are intended to be combined with the method of lines approach to yield a flexible framework for creating higher-order semi-implicit methods for partial differential equations. A discussion and numerical examples of the SISDC method applied to advection-diffusion type equations are included. The results suggest that higher-order SISDC methods are more efficient than semi-implicit Runge-Kutta methods for moderately stiff problems in terms of accuracy per function evaluation.
Date:
October 6, 2002
Creator:
Minion, Michael L.
Object Type:
Article
System:
The UNT Digital Library
Seminole Sentinel (Seminole, Tex.), Vol. 95, No. 102, Ed. 1 Sunday, October 6, 2002
Semi-weekly newspaper from Seminole, Texas that includes local, state, and national news along with extensive advertising.
Date:
October 6, 2002
Creator:
Fisher, David
Object Type:
Newspaper
System:
The Portal to Texas History
Sapulpa Daily Herald (Sapulpa, Okla.), Vol. 87, No. 329, Ed. 1 Sunday, October 6, 2002
Daily newspaper from Sapulpa, Oklahoma that includes local, state, and national news along with advertising.
Date:
October 6, 2002
Creator:
Broaddus, Matthew B.
Object Type:
Newspaper
System:
The Gateway to Oklahoma History
The Baytown Sun (Baytown, Tex.), Vol. 80, No. 314, Ed. 1 Sunday, October 6, 2002
Daily newspaper from Baytown, Texas that includes local, state, and national news along with advertising.
Date:
October 6, 2002
Creator:
Cash, Wanda Garner
Object Type:
Newspaper
System:
The Portal to Texas History
Levelland and Hockley County News-Press (Levelland, Tex.), Vol. 25, No. 54, Ed. 1 Sunday, October 6, 2002
Semiweekly newspaper from Levelland, Texas that includes local, state, and national news along with advertising.
Date:
October 6, 2002
Creator:
Rigg, John
Object Type:
Newspaper
System:
The Portal to Texas History
The Panola Watchman (Carthage, Tex.), Vol. 129, No. 78, Ed. 1 Sunday, October 6, 2002
Semiweekly newspaper from Carthage, Texas that includes local, state, and national news along with advertising.
Date:
October 6, 2002
Creator:
unknown
Object Type:
Newspaper
System:
The Portal to Texas History
[Wheeler Avenue Baptist Church Bulletin: October 6, 2002]
Church bulletin listing the order of worship for the 7:30 and 11:00 Sunday morning services at the Wheeler Avenue Baptist Church, as well as various notes about upcoming events, congregational news, and other information of relevance to church members.
Date:
October 6, 2002
Creator:
Wheeler Avenue Baptist Church (Houston, Tex.)
Object Type:
Pamphlet
System:
The Portal to Texas History
The Express-Star (Chickasha, Okla.), Ed. 1 Sunday, October 6, 2002
Daily newspaper from Chickasha, Oklahoma that includes local, state, and national news along with advertising.
Date:
October 6, 2002
Creator:
Bush, Kent
Object Type:
Newspaper
System:
The Gateway to Oklahoma History
Alvin Sun-Advertiser (Alvin, Tex.), Vol. 110, No. 77, Ed. 1 Sunday, October 6, 2002
Weekly newspaper from Alvin, Texas that includes local, state, and national news along with advertising.
Date:
October 6, 2002
Creator:
Schwind, Jim & Holton, Kathleen
Object Type:
Newspaper
System:
The Portal to Texas History
Altus Times (Altus, Okla.), Vol. 104, No. 171, Ed. 1 Sunday, October 6, 2002
Daily newspaper from Altus, Oklahoma that includes local, state, and national news along with advertising.
Date:
October 6, 2002
Creator:
Bush, Michael
Object Type:
Newspaper
System:
The Gateway to Oklahoma History