论文信息 - A comparison of stiff ode solvers for atmospheric chemistry problems

A comparison of stiff ode solvers for atmospheric chemistry problems

In the operator splitting solution of atmospheric transport-chemistry problems modeling air pollution, a major task is the numerical integration of the stiff systems of ordinary differential equations describing the chemical transformations. In this paper a numerical comparison is presented between two special purpose solvers developed for this task.

[1] Bruce W. Char,et al. Maple V Language Reference Manual , 1993, Springer US.

[2] I. Isaksen,et al. Quasi‐steady‐state approximations in air pollution modeling: Comparison of two numerical schemes for oxidant prediction , 1978 .

[3] M. van Loon,et al. Numerical smog prediction. I: The physical and chemical model , 1994 .

[4] A. Hindmarsh. LSODE and LSODI, two new initial value ordinary differential equation solvers , 1980, SGNM.

[5] J. G. Verwer,et al. Explicit method for stiff ODEs from atmospheric chemistry , 1995 .

[6] V. Klema. LINPACK user's guide , 1980 .

[7] G. D. Byrne,et al. VODE: a variable-coefficient ODE solver , 1989 .

[8] Jan G. Verwer,et al. Gauss-Seidel Iteration for Stiff ODES from Chemical Kinetics , 1994, SIAM J. Sci. Comput..

[9] J. Blom,et al. An implicit-explicit approach for atmospheric transport-chemistry problems , 1996 .

[10] R. Turco,et al. SMVGEAR: A sparse-matrix, vectorized gear code for atmospheric models , 1994 .

[11] Jan Verwer,et al. An evaluation of explicit pseudo-steady-state approximation schemes for stiff ODE systems from chemical kinetics , 1993 .