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Showing 1 to 20 of 99 for “"Series expansion"”.
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Series expansion of the Modified Einstein Procedure
… Procedure (MEP). A new procedure based on the Series Expansion of the Modified Einstein Procedure (SEMEP) has been developed. This procedure contains four main modifications to MEP. First, SEMEP solves the Einstein integrals quickly and accurately based on a series expansion. Next, instead of …
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Chebyshev Series Expansion of the Solution of Kepler's Equation and Its Numerical Computation
Made available in DSpace on 2014-12-11T18:24:11Z (GMT). No. of bitstreams: 1 7500355.pdf: 1711155 bytes, checksum: 69982c5b61ac73d3a5edaa082c70b175 (MD5) Previous issue date: 1974
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Monte Carlo and Series Expansion Studies of the Anisotropic Driven Ising Lattice Gas Phase Diagram
… function to first order in a high temperature series expansion. However, the series expansion fails to predict even qualitatively the α-dependence of the critical temperature.
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Implied probability distributions : estimation, testing and applications
… by means of a semi-parametric Edgeworth Series Expansion probability model as an alternative to the widely criticized log-normal parameterization of the Black, Scholes and Merton model. Despite the relatively early introduction of this type of models in academic literature in the early …
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DEVELOPMENT OF HIGH-ORDER FINITE VOLUME METHODS ON UNSTRUCTURED GRIDS AND THEIR APPLICATIONS
… method, a high-order polynomial based on Taylor series expansion is constructed within every control cell to approximate the solution function. The unknown coefficients in the Taylor series expansion, i.e., the various derivatives, are approximated by the functional values at the cell centers of …
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Third-order charged particle beam optics
… from a certain ideal trajectory. One uses power series expansion of the phase-space coordinates to obtain the transfer matrices for a particular optical system.
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A simplified means of providing first estimates to laminar heating rates on isothermal axisymmetric blunt bodies
… of magnitude changes. Based on these results, a series expansion for the parameter of interest is obtained through the fourth order term. Even though the perfect gas laws are employed in the series expansion, the resulting effect on the heat transfer ratio is felt to·be small. To substantiate the …
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An application of relaxation methods to transonic nozzle flow
… compared with an existing solution obtained by a series expansion method. The calculated lines of constant Mach number were in excellent agreement with the series expansion solution. The time required for this solution was faster than time-dependent and error-minimization-type solutions by more …
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A Fourier finite element model for unsaturated flow in porous media
… which combines the efficiency of the Fourier series expansion as a refinement tool and the finite element method, where the spatial domain is divided into discrete elements and nodal points. A truncated Fourier series expansion was used as the approximating function over orthogonal discrete …
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Rism Methodology and Its Application to Orientational Correlations and to Excess Electrons in Liquids
… of molecular fluids and leads to a cluster series expansion for g(,2). A topological reduction which removes the bare Mayer f-bonds in favor of the appropriate pair correlation bonds is performed on this exact series.
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Multi-channel blind system identification using the Laguerre expansion for characterization of circulatory hemodynamics
… reformulated to use a Laguerre basis function series expansion. The truncated Laguerre series expansion allows a highly compact representation of the cardiovascular dynamics. This new algorithm has been applied to experimental arterial blood pressure measurements derived from a swine model and …
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Generalized Modified Weibull Poisson Distribution with Applications to Lifetime Data
… well as related sub-distributions are proposed. Series expansion of the densities are obtained. Statistical properties of these classes of distributions, including hazard function, reverse hazard function, moments, quantile function, entropy and distribution of order statistics are derived. …
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UMVU estimation of phase and group delay with small samples
Group delay between two univariate time series is a measure, in units of time, of how one series leads or lags the other at specific frequencies. The only published method of estimating group delay is Hannan and Thomson (1973); however, their method is highly asymptotic and does not allow inference …
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Asymptotic Properties Of Polynomials Orthogonal Over Multiply Connected Domains
… general results involve the construction of a series expansion and an integral representation for these polynomials. We show that the integral representation can be utilized to derive more specific results when the domain of orthogonality is circular. In this case, we shed light on the manner …
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Vibrações e estabilidade paramétrica de cascas axissimétricas
… non-rotating load, are studied. Using a Fourier series expansion for the circunferential variable it is shown that this load generates a periodic excitation on the shell. Linear and non-linear transient responses are then obtained through a finite difference approximation in the time domain anda …
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The field of reals with Gevrey functions is model complete and o-minimal
… are introduced, and it is proved that the expansion $\IR\sb{\cal G}$ of the field of reals by a certain subfamily of all infinitely representable functions (namely, the family of so-called Gevrey functions) is model complete and o-minimal as well as polynomially bounded. The function $\phi$ …
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Large eddy simulation of compressible channel flow
… procedure are modeled based on a Taylor series expansion. The subgrid scale Reynolds terms are modeled using a compressible extension of an existing incompressible model for wall bounded flows. The equations are solved numerically using a modified four-step Runge-Kutta procedure in time …
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Generalized Classes of Lindley Distributions With Applications to Lifetime data
… well as related sub-distributions are proposed. Series expansion of the densities are obtained. Statistical properties of these classes of distributions, including hazard function, reverse hazard function, monotonicity property, shapes, moments, reliability, quantile function, mean deviations, …
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ΜΑΘΗΜΑΤΙΚΗ ΠΕΡΙΓΡΑΦΗ ΤΗΣ ΔΙΑΔΟΣΗΣ ΤΩΝ ΜΗ ΓΡΑΜΜΙΚΩΝ ΔΙΑΣΠΕΙΡΟΜΕΝΩΝ ΚΥΜΑΤΙΣΩΝ ΣΤΟΝ ΠΑΡΑΚΤΙΟ ΧΩΡΟ
… TRANSPORT EQUATION (K-MODEL). BASED ON A POWER SERIES EXPANSION FOR THE DISTRIBUTION OVER THE DEPTH OF THE VERTICAL VELOCITY WE PROPOSE AN EXTENSION OF THE EQUATIONS IN DEEPER WATERS. THE MODEL IS TESTED AGAINST EXPERIMENTAL DATA AND ANALYTICAL SOLUTIONS.
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The Asymptotic Behaviour of the Riemann Mapping Function at Analytic Cusps
… can be developed in a certain generalised power series which in turn enables to examine the o-minimal content of the Riemann Mapping Theorem. To obtain a similar statement for domains with analytic cusps, it is necessary to investigate the asymptotic behaviour of a Riemann map at the cusp and …
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