Digital Incremental Computer: a New Computing Structure for the Numerical Solution of Differential Equations1971 - 70 pages |
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2's complement arithmetic 2's complement representation ALLOCATIONS analog computer ARITHMETIC SEQUENCING Bessel's Equation binary number Block diagram circular number system complexity CONNECTION TABLE constant control statements cycle DATA MEM dependent and independent DEPV DIC module differential equations digital differential analyzer Digital Incremental Computer DT DT dx dy DX INPUT DX/X dy dx DY/X DZ OUTPUT example function block increasing Increment Remainder independent variable increment INDV input statements integral increment integral remainder integrand increments integrand word iteration Karnaugh maps limited loop interval maximum machine rate memory negative loop NUMBER OF EQUATIONS numerical integration numerical solution ordinary differential equations patchboard possible postmultiplication premultiplication problem variables purpose computer quantization R₁ real-time computing represents REVERSE COMPUTATION reverse process occurs shown in Fig sign bit solution of differential solve storage subroutine tion translator program Trigonometric functions two-loop number system unit increment word length YES YES YES zero oscillations ΔΖ Δυ