HxC scaling algorithm applied to first and second order ordinary differential equations
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A scaling algorithm for the Hybrid eXtreme Computer (HxC) was developed, and the operation of the entire HxC was simulated in MATLAB environment. The HxC will solve Ordinary Differential Equations (ODEs) in a more efficient way. The computer consists of both analog and digital components and is based on a previously designed hybrid integrator. The ODEs are integrated by analog integrators assisted by digital, and results are represented and stored in analog and digital. To represent nonlinear functions as analog voltages, a Taylor Series approach is employed which rapidly repositions the expansion operating points. The analog integrator of HxC integrates the ODE as a voltage. The Taylor Series function approximators use Digital to Analog Converter (DAC) R2R ladders to implement multiplications of the Taylor Series coefficients by states, which are analog integrator voltages. Simulations are presented of the HxC solving first and second order ODEs.