A 2nd-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 modelling. 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.

Partial Differential Equations (acm G.1.8), Interpolation (acm G.1.1), PHYSICAL SCIENCES AND ENGINEERING (acm J.2)
Finite difference methods (msc 65M06), Method of lines (msc 65M20), Parallel computation (msc 65Y05), Complexity and performance of numerical algorithms (msc 65Y20)
Modelling, Analysis and Simulation [MAS]
Computational Dynamics

Verwer, J.G, Spee, E.J, Blom, J.G, & Hundsdorfer, W. (1997). A second order Rosenbrock method applied to photochemical dispersion problems. Modelling, Analysis and Simulation [MAS]. CWI.