Name
Abstract | ||
|---|---|---|
A second-order, L-stable Rosenbrock method from the field of stiff ordinary differential equations is studied for application to atmospheric dispersion problems describing photochemistry, advective, and turbulent diffusive transport. Partial differential equation problems of this type occur in the field of air pollution modeling. The focal point of the paper is to examine the Rosenbrock method for reliable and efficient use as an atmospheric chemical kinetics box-model solver within Strang-type operator splitting. In addition, two W-method versions of the Rosenbrock method are discussed. These versions use an inexact Jacobian matrix and are meant to provide alternatives for Strang-splitting. Another alternative for Strang-splitting is a technique based on so-called source-splitting. This technique is briefly discussed. |
Year | DOI | Venue |
|---|---|---|
1999 | 10.1137/S1064827597326651 | SIAM Journal on Scientific Computing |
Keywords | Field | DocType |
long range transport air pollution models,numerical methods,time-dependent advection-diffusion reaction,stiff ODEs,Rosenbrock methods,splitting,approximate factorization | Differential equation,Rosenbrock function,Mathematical optimization,Ordinary differential equation,Jacobian matrix and determinant,Stiff equation,Mathematical analysis,Numerical analysis,Partial differential equation,Photochemistry,Mathematics,Rosenbrock methods | Journal |
Volume | Issue | ISSN |
20 | 4 | 1064-8275 |
Citations | PageRank | References |
22 | 4.12 | 0 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| J. G. Verwer | 1 | 131 | 39.71 |
| E. J. Spee | 2 | 22 | 4.12 |
| Joke G Blom | 3 | 161 | 23.43 |
| W. Hundsdorfer | 4 | 52 | 9.30 |