Proceedings of the on Numerical methods for differential equations
Parallel Implementation of a Large-Scale 3-D Air Pollution Model
LSSC '01 Proceedings of the Third International Conference on Large-Scale Scientific Computing-Revised Papers
Flexible Two-Level Parallel Implementations of a Large Air Pollution Model
NMA '02 Revised Papers from the 5th International Conference on Numerical Methods and Applications
Parallel runs of a large air pollution model on a grid of Sun computers
Mathematics and Computers in Simulation
Operator splitting and commutativity analysis in the Danish Eulerian model
Mathematics and Computers in Simulation
Weighted sequential splittings and their analysis
Computers & Mathematics with Applications
Error analysis of the numerical solution of split differential equations
Mathematical and Computer Modelling: An International Journal
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In models of complicated physical-chemical processes operator splitting is very often applied in order to achieve sufficient accuracy as well as efficiency of the numerical solution. The recently rediscovered weighted splitting schemes have the great advantage of being parallelizable on operator level, which allows us to reduce the computational time if parallel computers are used. In this paper, the computational times needed for the weighted splitting methods are studied in comparison with the sequential (S) splitting and the Marchuk-Strang (MSt) splitting and are illustrated by numerical experiments performed by use of simplified versions of the Danish Eulerian model (DEM).