The inventive disclosures described herein pertain to an improved analog computer that features the implementation of a method for dynamic amplitude rescaling in solving non-linear differential equations, including an efficient non-linear function evaluator/generator. The improved analog-computing scheme can constrain the variables of an ordinary differential equation (ODE) to fixed intervals in order to circumvent typical analog-computing input limitations while also ensuring that all changes to a real-world input value results in a non-zero change in the output of the improved non-linear-function generator. Various practical applications of these concepts are also described.
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