Results 291 to 300 of about 2,178,860 (334)
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1995
Abstract We have shown that the central limit theorem can be used to calculate useful approximations to both univariate and multivariate pdfs that are generally easy to evaluate numerically. However, there are circumstances in which Gaussian approximations may be qualitatively inaccurate.
Uri Shmueli, George H Weiss
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Abstract We have shown that the central limit theorem can be used to calculate useful approximations to both univariate and multivariate pdfs that are generally easy to evaluate numerically. However, there are circumstances in which Gaussian approximations may be qualitatively inaccurate.
Uri Shmueli, George H Weiss
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Second‐Order Reliability Approximations
Journal of Engineering Mechanics, 1987A simple method is presented for a second‐order structural reliability approximation. The method is based on an approximating paraboloid which is fitted to the limit‐state surface at discrete points around the point with minimal distance from the origin. An expression for the second‐order error in the approximation is derived, and the error is shown to
Armen Der Kiureghian +2 more
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Approximate high order smoothness
Acta Mathematica Hungarica, 1993The authors introduce the notion of the approximate \(m\)-smoothness of functions and investigate the properties of approximately continuous and approximately \(m\)-smooth functions. The inspiration of the authors was the paper of \textit{T. K. Dutta} [Acta Math. Acad. Sci. Hung.
Buczolich, Z. +2 more
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Second-order Rytov approximation
Journal of the Optical Society of America, 1983We obtain an explicit and useful formulation of the solution for the second-order Rytov approximation for an arbitrary source geometry. From this solution a condition of validity for the Rytov solution is obtained. We conclude that both the Born and the Rytov approximations have the same domain of validity.
H. T. Yura +3 more
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2016
Two-level factorial or fractional factorial experimental designs are used for obtaining a first-order approximation to the response function. They are particularly useful for selecting a smaller subset of potential input factors with which to formulate a better approximation equation.
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Two-level factorial or fractional factorial experimental designs are used for obtaining a first-order approximation to the response function. They are particularly useful for selecting a smaller subset of potential input factors with which to formulate a better approximation equation.
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2011
Because optimal policies require the solution of an m – 1 dimensional dynamic program, finding optimal policies is feasible only for moderately small values of m. For that reason, approximate policies are of particular interest. The first issue to be addressed when trying to find approximations is the form of the approximate policy.
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Because optimal policies require the solution of an m – 1 dimensional dynamic program, finding optimal policies is feasible only for moderately small values of m. For that reason, approximate policies are of particular interest. The first issue to be addressed when trying to find approximations is the form of the approximate policy.
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Higher-order polynomial approximation
Mathematical Models and Computer Simulations, 2016A new approach to polynomial higher-order approximation (smoothing) based on the basic elements method (BEM) is proposed. A BEM polynomial of degree n is defined by four basic elements specified on a three-point grid: x0 + α < x0 < x0 + β, αβ
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First-order exchange approximation
Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1963It is shown that when the Born approximation is applied to rearrangement collisions in the customary way, terms of the first order in the interaction energy between the colliding particles are omitted from the exchange scattering amplitude.
Bell, K. L., Moiseiwitsch, B. L.
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Integer order approximation of fractional order systems
2010 IEEE 18th Signal Processing and Communications Applications Conference, 2010This paper deals with the computation of rational approximations of fractional derivatives and/or integrals and time domain analysis of fractional order systems. The objective is to compute the output signals of systems which represented by fractional order transfer functions. Therefore, all rational approximations for fractional order of 0.1, 0.2,…, 0.
M Mine Ozyetkin, Nusret Tan
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An Approximate Minimum Degree Ordering Algorithm
SIAM Journal on Matrix Analysis and Applications, 1996An approximative minimum degree ordering algorithm (AMD) based on the symmetric analogue of the degree bounds in the unsymmetric-pattern multifrontal method is described. The analysis of the performance and accuracy on a set of test matrices show that AMD is typically much faster compared with other established codes that compute minimum degree ...
Davis, Timothy A. +2 more
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