Start Date
4-1970 8:00 AM
Description
This paper presents a study of numerical methods for the simulation of continuous systems described by n— order differential equations. The methods are applied to a wide spectrum of problems with the emphasis being on the practical rather than the theoretical results. The paper is directed toward the reader who is interested in comparative results of the application of various methods rather than derivations which can be found in a number of available texts.
The methods considered are Euler, modified Euler, classical Runge-Kutta, Milne's fourth-order predictor-corrector, Hamming's fourth-order predictor-corrector, a second-order predictorcorrector, Adams-Moulton, state variable, 2 transform, and 2 form. The methods are compared with respect to accuracy, computational efficiency, convenience of application and ease of programming.
The results of this case study should be helpful to the practicing engineer in selecting an appropriate digital simulation technique for his particular application.
Case Study in Digital Simulation
This paper presents a study of numerical methods for the simulation of continuous systems described by n— order differential equations. The methods are applied to a wide spectrum of problems with the emphasis being on the practical rather than the theoretical results. The paper is directed toward the reader who is interested in comparative results of the application of various methods rather than derivations which can be found in a number of available texts.
The methods considered are Euler, modified Euler, classical Runge-Kutta, Milne's fourth-order predictor-corrector, Hamming's fourth-order predictor-corrector, a second-order predictorcorrector, Adams-Moulton, state variable, 2 transform, and 2 form. The methods are compared with respect to accuracy, computational efficiency, convenience of application and ease of programming.
The results of this case study should be helpful to the practicing engineer in selecting an appropriate digital simulation technique for his particular application.
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