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Can we work around Complex Numerical Methods? An Insight

This paper aims to provide an insight into the concept of doing away with complex numerical methods; the authors propose a generalized neural approximator based replacement for numerical methods. The presented work outlines a non-conventional (and non-numerical) technique of analyzing the stability thresholds for one type of self-sustaining oscillations. The revered van der Pol equation has been studied in this work with an intention to predict an accurate stability criterion under the effect of a set of parameters and estimation techniques with the help of a novel neural network based approximation module. Such a system, for the presented case, boasts of generalized approximation capability and of a relatively flexible-easy-to-alter method