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Class NO
, 1999
"... The adaptive process can be considered as being driven by two fundamental forces: exploitation and exploration. While the explorative process may be deterministic, the resultant effect may be stochastic. Stochastic effects may also exist in the expoitative process. This thesis considers the effects ..."
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The adaptive process can be considered as being driven by two fundamental forces: exploitation and exploration. While the explorative process may be deterministic, the resultant effect may be stochastic. Stochastic effects may also exist in the expoitative process. This thesis considers the effects of stochastic fluctuations inherent in the adaptive process on the behavioural dynamics of a population of interacting agents. It is hypothesied that in such systems, one or more attractors in the population space exist; and that transitions between these attractors can occur; either as a result of internal shocks (sampling fluctuations) or external shocks (environmental changes). It is further postulated that such transitions in the (microscopic) population space may be observable as phase transitions in the behaviour of macroscopic observables. A simple model of a stock market, driven by asexual reproduction (selection plus mutation) is put forward as a testbed. A statistical dynamics analysis of the behaviour of this market is then developed. Fixed points in the space of agent behaviours are located, and market dynamics are compared to the analytic predictions. Additionally,
Convection in GATE
"... The difficult problem of parameterizing tropical convection in largescale models of the atmosphere led to the Global Atmospheric Research Program's Atlantic Tropical Experiment (GATE), whose goal was to improve basic understanding of tropical convection and its role in the global atmospheric c ..."
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Cited by 1 (0 self)
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The difficult problem of parameterizing tropical convection in largescale models of the atmosphere led to the Global Atmospheric Research Program's Atlantic Tropical Experiment (GATE), whose goal was to improve basic understanding of tropical convection and its role in the global atmospheric
Absolute and Convective Instabilities of Waves on Unbounded and Large Bounded Domains
, 2000
"... Instabilities of nonlinear waves on unbounded domains manifest themselves in different ways. An absolute instability occurs if the amplitude of localized wave packets grows in time at each fixed point in the domain. In contrast, convective instabilities are characterized by the fact that, even thoug ..."
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Cited by 77 (29 self)
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Instabilities of nonlinear waves on unbounded domains manifest themselves in different ways. An absolute instability occurs if the amplitude of localized wave packets grows in time at each fixed point in the domain. In contrast, convective instabilities are characterized by the fact that, even
The Convective Desalination
, 2013
"... This dissertation is the result of my own work and includes nothing which is the outcome of work done in collaboration except where specifically indicated in the text. ..."
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This dissertation is the result of my own work and includes nothing which is the outcome of work done in collaboration except where specifically indicated in the text.
New RAMS Cloud microphysics parameterization. Part II: The twomoment prediction scheme
, 1995
"... A new cloud microphysical parameterization is described. Features of this new scheme include: the use of generalized gamma distributions as the basis function for all hydrometeor species; the use of a heat budget equation for hydrometeor classes, allowing heat storage and mixed phase hydrometears; ..."
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Cited by 133 (22 self)
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A new cloud microphysical parameterization is described. Features of this new scheme include: the use of generalized gamma distributions as the basis function for all hydrometeor species; the use of a heat budget equation for hydrometeor classes, allowing heat storage and mixed phase hydrome
A monotone finite element scheme for convectiondiffusion equations
 Math. Comp
, 1999
"... Abstract. A simple technique is given in this paper for the construction and analysis of a class of finite element discretizations for convectiondiffusion problems in any spatial dimension by properly averaging the PDE coefficients on element edges. The resulting finite element stiffness matrix is ..."
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Cited by 57 (3 self)
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Abstract. A simple technique is given in this paper for the construction and analysis of a class of finite element discretizations for convectiondiffusion problems in any spatial dimension by properly averaging the PDE coefficients on element edges. The resulting finite element stiffness matrix
On Differential Rotation and Convection in the
, 907
"... We show that the differential rotation profile of the solar convection zone, apart from inner and outer boundary layers, can be reproduced with great accuracy if the isorotation contours correspond to characteristics of the thermal wind equation. This requires that there be a formal quantitative rel ..."
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Cited by 1 (0 self)
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solution of the solar rotation profile remains valid even when large radial entropy gradients are present. A clear and explicit example of this class of solution appears to be present in published numerical simulations of the solar convective zone. Though hydrodynamical in character, the theory
Electrohydrodynamic Convection in Nematics
"... . The purpose of this review is to present a status report on the electrohydrodynamic convection in nematic liquid crystals. The considerable progress achieved in the past two years is emphasized. 1 Introduction Pattern formation in fluid systems driven away from equilibrium is a common phenomenon ..."
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Cited by 4 (1 self)
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. The purpose of this review is to present a status report on the electrohydrodynamic convection in nematic liquid crystals. The considerable progress achieved in the past two years is emphasized. 1 Introduction Pattern formation in fluid systems driven away from equilibrium is a common phenomenon
Traffic Equations and Granular Convection
, 1998
"... We investigate both numerically and analytically the convective instability of granular materials by two dimensional traffic equations. In the absence of vibrations traffic equations assume two distinctive classes of fixed bed solutions with either a spatially uniform or nonuniform density profile. ..."
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We investigate both numerically and analytically the convective instability of granular materials by two dimensional traffic equations. In the absence of vibrations traffic equations assume two distinctive classes of fixed bed solutions with either a spatially uniform or nonuniform density profile
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