986 resultados para Institute for Numerical Analysis (U.S.)


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Mode of access: Internet.

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"October 1986."

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Vols. for 1982-1985 consist of data from NIGMS human genetic mutant cell repository sponsored by the National Institute of General Medical Sciences, and from NIA aging cell repository sponsored by the National Institute on Aging. Repositories located at the Institute for Medical Research, Camden, N.J.; for 1986/1987- consist of data from NIGMS human genetic mutant cell repository located at Coriell Institute for Medical Research.

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Issues for July 1967, Dec. 1967, July 1968, Dec. 1968, and Mar. 1969 have no numbering, but constitute no. 1-5.

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Title varies slightly.

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Prepared under contract no. 278-75-0030(MH).

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Originally issued 1978.

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"Sponsored by the National Institute of Mental Health in cooperation with the Association of Schools of Public Health."

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Bibliography: p. 205-211.

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Sponsored by National Institute of Mental Health, Continuing Education Branch, and University of Chicago, Center for Continuing Education.

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"Prepared by Public Information Section, National Institute of Mental Health."

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0We study the exact solution for a two-mode model describing coherent coupling between atomic and molecular Bose-Einstein condensates (BEC), in the context of the Bethe ansatz. By combining an asymptotic and numerical analysis, we identify the scaling behaviour of the model and determine the zero temperature expectation value for the coherence and average atomic occupation. The threshold coupling for production of the molecular BEC is identified as the point at which the energy gap is minimum. Our numerical results indicate a parity effect for the energy gap between ground and first excited state depending on whether the total atomic number is odd or even. The numerical calculations for the quantum dynamics reveals a smooth transition from the atomic to the molecular BEC.

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The numerical solution of stochastic differential equations (SDEs) has been focussed recently on the development of numerical methods with good stability and order properties. These numerical implementations have been made with fixed stepsize, but there are many situations when a fixed stepsize is not appropriate. In the numerical solution of ordinary differential equations, much work has been carried out on developing robust implementation techniques using variable stepsize. It has been necessary, in the deterministic case, to consider the best choice for an initial stepsize, as well as developing effective strategies for stepsize control-the same, of course, must be carried out in the stochastic case. In this paper, proportional integral (PI) control is applied to a variable stepsize implementation of an embedded pair of stochastic Runge-Kutta methods used to obtain numerical solutions of nonstiff SDEs. For stiff SDEs, the embedded pair of the balanced Milstein and balanced implicit method is implemented in variable stepsize mode using a predictive controller for the stepsize change. The extension of these stepsize controllers from a digital filter theory point of view via PI with derivative (PID) control will also be implemented. The implementations show the improvement in efficiency that can be attained when using these control theory approaches compared with the regular stepsize change strategy. (C) 2004 Elsevier B.V. All rights reserved.