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(Unpublished)
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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| Item Type: |
University of Pittsburgh ETD
|
| Status: |
Unpublished |
| Creators/Authors: |
|
| ETD Committee: |
|
| 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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