نتایج جستجو برای: romberg quadrature rule
تعداد نتایج: 168438 فیلتر نتایج به سال:
UNLABELLED We investigated test to retest reliability and intraindividual variability of Romberg ratios in quiet stance posturography. Thirty-six healthy young adults (17 males, 19 females aged 15-38 years) were divided into 3 groups with different time-intervals between consecutive trials (20 min, 3h and 24h respectively). Each group performed 5 posturography recordings in a randomized order o...
This article focuses on the process of approximating a definite integral from values of the integrand when exact mathematical integration is not available. This problem arises in statistics when marginal density functions or expected values of random variables are required. The article describes classical univariate quadrature methods including the trapezoidal rule, Simpson’s rule, Newton-Cotes...
Department of Mathematics, University of Gaziantep, Gaziantep, Turkey e-mail address : [email protected] Abstract For the practical estimation of the error of Gauss quadrature rules Gauss-Kronrod rules are widely used; but, it is well known that for the generalized Hermite weight function, ωα(x) = |x|2α exp(−x2) over [−∞,∞], real positive Gauss-Kronrod rules do not exist. Among the alternati...
Very little objective data are available on the subject of falling in the elderly. Yet there is an urgent need for simple tests to help identify those patients at risk. The predictive value of the Romberg-test was investigated with a group of 199 inhabitants of four homes for the elderly (76 had fallen three times in a period of six months and 123 never fell in a period of one year). Beside the...
We present a fast and accurate algorithm for evaluating singular integral operators on smooth surfaces that are globally parametrized by spherical coordinates. Problems of this type arise, for example, in simulating Stokes flows with particulate suspensions and in multi-particle scattering calculations. For smooth surfaces, spherical harmonic expansions are commonly used for geometry representa...
Fredholm integral equations arise naturally in the context of ordinary and partial differential equations: Two-point boundary value problems can be reformulated as Fredholm integral equations, whose kernels are continuous but have finite jump discontinuities in their derivatives. Two-dimensional elliptic boundary problems can be reformulated as Fredholm integral equations with kernels that have...
INTRODUCTION AND OBJECTIVES The Dizziness Handicap Inventory is a useful tool for quantifying self-perceived handicap in patients with vertigo, dizziness or unsteadiness and its impact on daily living activities. The Dizziness Handicap Inventory identifies functional, physical and emotional disorders related to balance disturbance. Our objective was to cross-culturally adapt the Peninsular Span...
The idea of Gauss–Kronrod quadrature, in a germinal form, is traced back to an 1894 paper of R. Skutsch. The idea of inserting n+1 nodes into an n-point Gaussian quadrature rule and choosing them and the weights of the resulting (2n+1)-point quadrature rule in such a manner as to maximize the polynomial degree of exactness is generally attributed to A.S. Kronrod [2], [3]. This is entirely justi...
1. Mathematical preliminaries Many problems in Numerical Analysis involve the transformation of a continuous problem into a discrete one. Our example here is the calculation of the value of a definite integral which is turned into computing a weighted sum of function values. An important parameter in this discretization is the mesh length or step size, h: b a f (x)dx ≈ h n i=1 f (a + 2i − 1 2 h...
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