Mathematical Modeling and Digital Simulation for Engineers and Scientists
An updated and expanded edition that now reflects the many recent developments in simulation and computer modeling theory and practice. Gives fast and accurate numerical methods that are ideally suited to simulating both linear and nonlinear systems for design and for ``real time'' training. Includes a new section on the use of modern numerical methods for generating chaos and simulating random processes, provides information on simulator verification, and integrates material on the personal computer throughout the text. Also gives examples of computer programs in BASIC, and new material on the development and application of numerical methods in both the time and frequency domains. Expanded references.
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The Mathematical Modeling of Discrete Processes
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accuracy algorithms analysis block diagram Chebyshev polynomials closed-loop components continuous process continuous system derived developed difference equation digital computer digital simulation discrete analog method discrete function discrete system domain dynamics equa error formula example final value first-order hold forcing function Fourier series Fourier transform frequency-domain initial conditions input integrand integration step interval Laplace transform linear differential equation linear systems loop low-pass filter match mathematical model nested parenthetical form noise nonlinear systems numerical integration numerical integration formula numerical methods operations output parameters particular solution phase plane phase shift poles power spectral density predict-correct problem pseudorandom random variable reconstruction process recursion formula response roots Runge-Kutta sample period sampled values sampler second-order shown in Figure signal flow signal reconstruction simulating difference equation simulation designer solving stable substitution system being simulated system of equations Table techniques tion transfer function trapezoidal integration vector zero zero-order hold