Journal ArticleDOI
Monte Carlo Solution of Partial Differential Equations Using a Hybrid Computer
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The analog-hybrid computer Monte Carlo technique for solving elliptic and parabolic partial differential equations has been implemented on a new hybrid computer capable of taking statistics over 1000 two-or three-dimensional random walks per second.Abstract:
The analog-hybrid computer Monte Carlo technique for solving elliptic and parabolic partial differential equations has been implemented on a new hybrid computer capable of taking statistics over 1000 two-or three-dimensional random walks per second. This exceptional computing speed and flexible digital control permit direct plotting of partial differential equation solutions; of perhaps even greater interest is the incorporation of such Monte Carlo routines in real-time analog computer setups in process control applications. In this connection, the Monte Carlo method has been extended to a wider class of problems, and is especially applicable to heat conduction/diffusion problems.read more
Citations
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Recent Developments in Design Automation
TL;DR: The areas of gate level simulation, synthesis, partitioning, interconnection and fault test generation are discussed, and new algorithms in each of these areas are presented and compared.
Journal ArticleDOI
Residue Number System Truth-Table Look-Up Processing—Moduli Selection and Logical Minimization
Guest,Mirsalehi,Gaylord +2 more
TL;DR: Truth table look-up processing using binary coded residue numbers is investigated for full-precision addition and multiplication for implementations using either electronic or optical technologies.
Journal ArticleDOI
Simulating oxygen transport in the microcirculation by Monte Carlo methods: A Mathematical Step Toward Artificial Cybernetic Control Of Oxygenation of the Brain During Surgery
TL;DR: In this article, a single straight capillary and a concentric tissue cylinder was used as a representa tive sample (the Krogh tissue cylinder) to simulate oxygen transport in the human cerebral cortex.
Journal ArticleDOI
Boolean function minimization in the class of disjunctive normal forms
A. A. Sapozhenko,I. P. Chukhrov +1 more
TL;DR: The survey focuses on minimization of boolean functions in the class of disjunctive normal forms (d.n.f.s) and covers the publications from 1953 to 1986, and presents a classification of minimization algorithms.
References
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Journal ArticleDOI
The Monte Carlo method.
N. Metropolis,Stanislaw M. Ulam +1 more
TL;DR: In this paper, the authors present a statistical approach to the study of integro-differential equations that occur in various branches of the natural sciences, such as biology and chemistry.
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On the theory of brownian motion
TL;DR: In this article, it was shown that the non-Gaussian-Markoff process for Brownian motion derived on a statistical mechanical basis by Prigogine and Balescu, and Prigogueine and Philippot, is related through a transformation of variables to the Gaussian Markoff process of the conventional phenomenological theory of Brownian motions.
Journal ArticleDOI
Random walks and the eigenvalues of elliptic difference equations
TL;DR: In this article, a random walk procedure was proposed to approximate the solutions of elliptic partial differential equations with the unknown function and derivatives, which is similar to the one used by Donsker and Kac for the calculation of the low-est eigenvalue of Schroedinger's equation.
Journal ArticleDOI
Hybrid-Computer Techniques for Measuring Statistics from Quantized Data:
TL;DR: This tutorial paper reviews contributions to the statistical theory of amplitude quantization made in England, the Netherlands, and Russia, as well as B. Widrow's original work in this country.