Jon Michael Smith

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Jon Michael Smith is a NASA scientist/engineer who developed the fast numerical integration technique known as T-integration. T-Integration can be tuned to the problem it is being used to solve. T-Integration is based on information theory, not approximation theory. T-Integration has very simple frequency domain adjusting parameters: A phase adjusting parameter and a gain adjusting parameter. Interestingly, for open-loop problems, setting the gain and varying the phase produces ALL classical first order numerical integrators and an infinity new integrators heretofore unknown. For closed loop applications the T-Integrator produces an infinity of non-classical integrators that produce exact numerical integration of linear systems and near exact integration of nonlinear systems. For information systems applications (computer, control and communication and simulation) the simple first order T-Integrator out performs all numerical integrators based on classical approximation theory. Simulating aircraft motion for various aircraft configurations (gear up, gear down, flaps up, flaps down, engine out, stab-aug on, stab-aug off etc.) and dynamic conditions (high mach, low mach, take-off, landing etc.) becomes a simple matter of tuning the T-Integrator to the flight condition being simulated. In this sense the T-Integrator adapts to the problem it is trying to solve. He is the author of the Wiley books Mathematical Modeling and Digital Simulation for Engineers and Scientists, Scientific Analysis on the Pocket Calculator and the forthcoming book Fundamentals of Fractals for Engineers and Scientists.