Singular Perturbation for Stiff Equations Using Numerical Methods
The present paper explores the following question: can the number-crunching power of the computer be used not only for generating numerical solutions, but also for deriving alternative formulations for the given problems? In other words, can the traditional role of human theoreticians also be performed by digital computers? We shall limit our efforts here to stiff systems of ordinary differential equations. Our task is to translate the general singular perturbation procedures used by human theoreticians for this class of problems into a programmable set of computations; the output from the computations shall provide both the numerical solutions and the alternative formulation of the given problem.
KeywordsSingular Perturbation Digital Computer Elementary Reaction Traditional Theoretician Constant Matrice
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- 4.R. A. Willoughby, Stiff Differential Systems, Plenum Press, New York (1973).Google Scholar
- 7.Heinz-Otto Kreiss, Numerical methods for singular perturbation problems, in: Asymptotic Methods and Singular Perturbations, SIAM-AMS Proceedings, Vol. X, American Mathematical Society (1976).Google Scholar