Numerical Methods for Scientists and Engineers
Numerical Methods for Scientists and Engineers
Optimum design and error analysis of digital integrators for discrete system simulation
AFIPS '65 (Fall, part I) Proceedings of the November 30--December 1, 1965, fall joint computer conference, part I
New difference equation technique for solving nonlinear differential equations
AFIPS '64 (Spring) Proceedings of the April 21-23, 1964, spring joint computer conference
Mathematics of continuous system simulations
AFIPS '68 (Fall, part I) Proceedings of the December 9-11, 1968, fall joint computer conference, part I
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The engineer or scientist concerned with the mathematical description of physical systems is continually faced with nonlinear formulations. The nonlinearity may be represented in the form of a differential equation representing process or system dynamics. On the other hand, nonlinear control element characteristics such as hysteresis, saturation, backlash, or nonlinear damping, whose mathematical description is algebraic, may appear. In many instances the mathematical formulation for system description may become so unwieldy that an analytical solution is either impractical or impossible. It is particularly in situations like these that digital simulation has become an invaluable tool.