Mathematical Modeling and Digital Simulation for Engineers and ScientistsAn 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. |
Contents
The Mathematical Modeling of Discrete Processes | 108 |
PART II | 138 |
NUMERICAL METHODS FOR SIMULATING LINEAR SYSTEMS | 151 |
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a₁ accuracy algorithms amplitude B₁ block diagram Chebyshev polynomials compensation components continuous process continuous system derivative developed difference equation digital computer digital simulation discrete analog method discrete function discrete system domain dynamics example f(nT final value first-order First-order hold forcing function Fourier series frequency-domain input integrand integration step interval k₁ k₂ Laplace transform linear differential equation linear systems loop low-pass filter match mathematical model mean value theorem nested parenthetical form nonlinear systems numerical integration numerical methods operations output parameters phase plane phase shift pole power series pseudorandom random variable reconstruction process recursion formula response sample period second-order sequence series expansion shown in Figure signal flow simulating difference equation solving spectrum stable stationary substitution system being simulated T₁ T₂ Table techniques tion transfer function vector Y₁ Yn+1 z transform z-Transform zero zero-order hold