Accession Number:

ADA538555

Title:

Stability of the IMEX Methods, CNLF and BDF2-AB2, for Uncoupling Systems of Evolution Equations

Descriptive Note:

Corporate Author:

PITTSBURGH UNIV PA DEPT OF MATHEMATICS

Personal Author(s):

Report Date:

2011-02-01

Pagination or Media Count:

18.0

Abstract:

Stability is proven for two second order, two step methods for uncoupling a system of two evolution equations with exactly skew symmetric coupling the Crank-Nicolson Leap Frog CNLF combination and the BDF2-AB2 combination. The form of the coupling studied arises in spatial discretizations of the Stokes-Darcy problem. For CNLF we prove stability for the coupled system under the time step condition suggested by linear stability theory for the Leap-Frog scheme. This seems to be a first proof of a widely believed result. For BDF2-AB2 we prove stability under a condition that is better than the one suggested by linear stability theory for the individual methods. This report is an expended version of the one submitted for publication.

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE