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A hybrid evolutionary modeling algorithm for systems of ordinary differential equations. (English) Zbl 0913.65065

The authors apply ideas from the field of genetic algorithms to model and parameter estimation of ordinary differential equations. The article describes a hybrid algorithm, based on evolutionary modelling and present some numerical results which illustrate the effect of applying the algorithm, to estimate the solution of some simple, low-dimensional problems.

MSC:

65L05 Numerical methods for initial value problems involving ordinary differential equations
34A34 Nonlinear ordinary differential equations and systems
34A55 Inverse problems involving ordinary differential equations
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