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UNCONDITIONAL STABILITY OF A CRANK-NICOLSON/ADAMS-BASHFORTH 2 IMPLICIT/EXPLICIT METHOD FOR ORDINARY DIFFERENTIAL EQUATIONS

Jorgenson, Andrew (2012) UNCONDITIONAL STABILITY OF A CRANK-NICOLSON/ADAMS-BASHFORTH 2 IMPLICIT/EXPLICIT METHOD FOR ORDINARY DIFFERENTIAL EQUATIONS. Master's Thesis, University of Pittsburgh. (Unpublished)

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Abstract

Systems of non-linear partial di�erential equations modeling turbulent fluid ow and other processes present
special challanges in numerical analysis. A time-stepping Crank-Nicolson/Adams-Bashforth 2 implicitexplicit
method for solving spatially-discretized systems of this type is proposed and proven to be unconditionally
stable and second-order convergent.


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Details

Item Type: University of Pittsburgh ETD
Status: Unpublished
Creators/Authors:
CreatorsEmailPitt UsernameORCID
Jorgenson, Andrewadj24@pitt.eduADJ24
ETD Committee:
TitleMemberEmail AddressPitt UsernameORCID
Committee ChairTrenchea, Catalintreanchea@pitt.edu
Committee MemberMyron, Sussmansussmanm@math.pitt.eduMMS125
Committee MemberWilliam, Laytonwjl@pitt.eduWJL
Date: 1 June 2012
Date Type: Publication
Defense Date: 17 April 2012
Approval Date: 1 June 2012
Submission Date: 25 April 2012
Access Restriction: No restriction; Release the ETD for access worldwide immediately.
Number of Pages: 43
Institution: University of Pittsburgh
Schools and Programs: Dietrich School of Arts and Sciences > Mathematics
Degree: MS - Master of Science
Thesis Type: Master's Thesis
Refereed: Yes
Uncontrolled Keywords: Crank-Nicolson, IMEX methods
Date Deposited: 01 Jun 2012 15:28
Last Modified: 15 Nov 2016 13:57
URI: http://d-scholarship.pitt.edu/id/eprint/12016

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