Stiff ode slovers: a review of current and coming attractions
Journal of Computational Physics
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Journal of Computational Physics
Explicit methods for stiff ODEs from atmospheric chemistry
NUMDIFF-7 Selected papers of the seventh conference on Numerical treatment of differential equations
A Second-Order Rosenbrock Method Applied to Photochemical Dispersion Problems
SIAM Journal on Scientific Computing
An analysis of operator splitting techniques in the stiff case
Journal of Computational Physics
Reduction of chemical kinectics in air pollution modeling
Journal of Computational Physics
Model reduction for chemical kinetics: an optimization approach
Model reduction for chemical kinetics: an optimization approach
Parallel runs of a large air pollution model on a grid of Sun computers
Mathematics and Computers in Simulation
Development of a data assimilation algorithm
Computers & Mathematics with Applications
On some computational aspects of the variational data assimilation techniques
NMA'06 Proceedings of the 6th international conference on Numerical methods and applications
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This article follows [R. Djouad, B. Sportisse, Appl. Numer. Math. 43 (2002) 383] in which we have proposed an automatic method in order to generate reduced atmospheric chemical mechanisms. On the basis of the slow/fast behaviour of chemical kinetics the exact model is replaced by a differential-algebraic system. We propose here an easy to perform algorithm in order to integrate such systems with a low CPU cost. Comparison is made with some classical solvers such as Euler Backward Implicit (EBI), QSSA and the second-order Rosenbrock method ROS2. This proves the efficiency and the accuracy of the proposed algorithm. We also show that the classical QSSA-like methods cannot be used apart from the framework of reduction procedures, which explains their rather poor accuracy.