Mars, P.; Mcintosh, F. G.; Baxter, T. High-speed simulation of discrete dynamic probabilistic systems. (English) Zbl 0404.65002 Math. Comput. Simulation 21, 21-38 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page MSC: 65C05 Monte Carlo methods 60J10 Markov chains (discrete-time Markov processes on discrete state spaces) 60G50 Sums of independent random variables; random walks 65N99 Numerical methods for partial differential equations, boundary value problems 68Q45 Formal languages and automata 68U20 Simulation (MSC2010) Keywords:High-Speed Simulation; Discrete Dynamic Probabilistic Systems; Stochastic Computer; Markov Chains; Random Walks; Experimental Results; Monte-Carlo Solution; Partial Differential Equations; Boundary Conditions PDFBibTeX XMLCite \textit{P. Mars} et al., Math. Comput. Simul. 21, 21--38 (1979; Zbl 0404.65002) Full Text: DOI References: [1] [1]B.R. Gaines, ‘Stochastic Computing’, AFIPS, SJCC, 30, pp. 149-156.; [1]B.R. Gaines, ‘Stochastic Computing’, AFIPS, SJCC, 30, pp. 149-156. [2] Poppelbaum, W. J.; Afuso, C.; Esch, J. W., Stochastic Computing Elements and Systems, 31, 635-644 (1967), AFIPS, FJCC [3] Cutler, R. J., Molecular Stochastics — A Study of Direct Production of Stochastic Sequences from Transducers, (Internal Report 723 (1975), Dept. of Computer Science, University of Illinois) [4] [4]J.R. Cutler and D. Ficke, ‘A Stochastic Control System’, Internal Report 752, Dept. of Computer Science, University of Illinois.; [4]J.R. Cutler and D. Ficke, ‘A Stochastic Control System’, Internal Report 752, Dept. of Computer Science, University of Illinois. [5] Kohl, A., Stochastische Rechetechnik, Internal Rept., 91-101 (1974), Lehrstuhl und Institut für Nachrichtengeräte und Datenverarbeitung der RWTH, Aachen [6] Massen, R., Stochastische Rechetechnik (1977), Carl Hanser Verlag Muchen Wien [7] Massen, R., Stochastic and other Time-Summation Fluidic Digital to Analog Converters, Proc. 6th Cranfield Fluids Cond., E2, 15-28 (1974) [8] Castanie, M., Quantification a Reference Stochastique, 4/1, 1/6 (1977), Colloque National Sur Le Traitment Du Signal Et Ses Applications, Nice [9] Castanie, M.; Hoffman, J. C., Calcul Stochastic et Traitment du Signal, 55/1, 55/6 (1977), Colloque National Sur Le Traitment Du Signal Et Ses Applications, Nice [10] Castanie, M.; Hoffman, J. C., Transformateur Stochastique De Fourier, 283-294 (1975), Proc. Conf. on Advanced Signal Processing, Lausanne [11] Gaines, B. R., Stochastic Computing Systems, (Advances in Information Sciences, 2 (1969), Pergamon Press), 37-172 · Zbl 0188.24202 [12] Miller, A. J.; Mars, P., Theory and Design of a Digital Stochastic Computer Random Number Generator, Trans. IMACS, 19, 198-216 (1977) · Zbl 0367.65002 [13] Miller, A. J.; Brown, A. W.; Mars, P., Study of an Output Interface for Digital Stochastic Computers, Int. J. of Electronics, 37, 5, 637-655 (1974) [14] Miller, A. J.; Brown, A. W.; Mars, P., Adaptive Logic Circuits for Digital Stochastic Computers, Electronic Letters, 9, 21, 500-502 (1973) [15] Miller, A. J.; Brown, A. W.; Mars, P., Moving-Average Output Interface for Digital Stochastic Computers, Electronic Letters, 10, 20, 419-420 (1974) [16] Miller, A. J.; Brown, A. W.; Mars, P., Optimum Criteria for Output Interfaces in Digital Stochastic Computers, Electronic Letters, 11, 326-327 (1975) [17] Miller, A. J.; Mars, P., Optimal Estimation of Digital Stochastic Sequences, Int. J. of Systems Science, 8, 6, 683-696 (1977) · Zbl 0361.93045 [18] Howard, R. A., Dynamic Programming and Markov Processes (1960), MIT Press · Zbl 0091.16001 [19] Bailey, N. T., The Elements of Stochastic Processes (1964), John Wiley · Zbl 0127.11203 [20] Feller, W., An Introduction to Probability Theory and its Applications, Vol. 1 (1957), John Wiley · Zbl 0155.23101 [21] Handler, H., Monte-Carlo Solution of Partial Differential Equations, (EE Series Report 16 (1968), University of Arizona), 1-9 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.