Abstract
Solving ordinary differential equations (ODEs) with solutions in a quasi steady state has been studied by computational chemists, applied mathematicians, and numerical analysts. Because of this, it is a very appropriate topic for this interdisciplinary workshop.
In this paper we shall first discuss what stiffness is for model problems arising in chemical kinetics. Chemists and applied mathematicians have made use of quasi steady state approximations (singular perturbation theory) to alter the problem so as to avoid stiffness. The approach is described and some difficulties noted. Numerical analysts have developed methods to solve general stiff ODEs. How they relate to the problem at hand is described and some difficulties pointed out. Finally, ideas from both approaches are combined. The new combination deals effectively with stiffness when the quasi steady state hypothesis is valid.
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References
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© 1982 Springer-Verlag
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Shampine, L.F. (1982). Solving odes in quasi steady state. In: Hinze, J. (eds) Numerical Integration of Differential Equations and Large Linear Systems. Lecture Notes in Mathematics, vol 968. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064891
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DOI: https://doi.org/10.1007/BFb0064891
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