Numerical solution and fast-slow decomposition of a population of weakly coupled systems

Alexandre Caboussat; Allison Leonard

doi:10.3934/proc.2009.2009.123

Article Contents

2009, Volume 2009: 123-132. Doi: 10.3934/proc.2009.2009.123 open access

This issue Previous Article Heteroclinic solutions for non-autonomous boundary value problems with singular $\Phi$-Laplacian operators Next Article Some abstract critical point theorems and applications

Numerical solution and fast-slow decomposition of a population of weakly coupled systems

Alexandre Caboussat^1, and
Allison Leonard^2,

1.
University of Houston, Department of Mathematics, 4800 Calhoun Rd, Houston, Texas 77204 - 3008
2.
University of Houston, Department of Mathematics, 4800 Calhoun Rd, Houston, TX 77204-3008

Received: June 2008

Revised: June 2009

Published: September 2009

Abstract / Introduction Related Papers Cited by

Abstract

The modeling of the microphysics of a population of atmospheric particles interacting through a common medium leads to the solution of a large system of weakly coupled differential-algebraic equations. An implicit time discretization of the system of differential-algebraic equations is solved with a Newton method at each time step. The structure of the global system and the sparsity of the Newton matrix allow the efficient use of a Schur complement approach for the decoupling of the various subsystems at the discrete level. A numerical approach for the decomposition of the population into fast and slow subsystems is proposed. Numerical results are presented for organic atmospheric particles to illustrate the properties of the method.

Keywords:

Mathematics Subject Classification: Primary: 65L05, 65L80, 65F05; Secondary: 70K70.

Citation:

Article Metrics

HTML views() PDF downloads(46) Cited by(0)

Numerical solution and fast-slow decomposition of a population of weakly coupled systems

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Numerical solution and fast-slow decomposition of a population of weakly coupled systems

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content