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A Survey of ContinuousTime Computation Theory
 Advances in Algorithms, Languages, and Complexity
, 1997
"... Motivated partly by the resurgence of neural computation research, and partly by advances in device technology, there has been a recent increase of interest in analog, continuoustime computation. However, while specialcase algorithms and devices are being developed, relatively little work exists o ..."
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Motivated partly by the resurgence of neural computation research, and partly by advances in device technology, there has been a recent increase of interest in analog, continuoustime computation. However, while specialcase algorithms and devices are being developed, relatively little work exists on the general theory of continuoustime models of computation. In this paper, we survey the existing models and results in this area, and point to some of the open research questions. 1 Introduction After a long period of oblivion, interest in analog computation is again on the rise. The immediate cause for this new wave of activity is surely the success of the neural networks "revolution", which has provided hardware designers with several new numerically based, computationally interesting models that are structurally sufficiently simple to be implemented directly in silicon. (For designs and actual implementations of neural models in VLSI, see e.g. [30, 45]). However, the more fundamental...
1 A Study of the Applications of Analog Computers
"... AbstractAn electronic analog computer is a tool for solving mathematical differential equations. The basis for the use of such a computer in the simulation of many scientific and engineering problems is the possibility of characterizing these situations as formal mathematical systems by using diffe ..."
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AbstractAn electronic analog computer is a tool for solving mathematical differential equations. The basis for the use of such a computer in the simulation of many scientific and engineering problems is the possibility of characterizing these situations as formal mathematical systems by using differential equations. In this paper, following a brief description of the computing elements, the applications of analog computers in the study of various linear, nonlinear, and timevarying systems are described with typical illustrative examples from diverse fields of interest. Computer applications in solving partial differential equations are also discussed. Potential capabilities and limitations of this type of computer as an aid in research and analysis are given.