Quartic spline-on-spline interpolation [PDF]
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Xieping-Gao, , Shi-Shu, , Kaixin-Fu,
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On spline-on-spline numerical integration formula [PDF]
In the paper is considered an application of the spline-on-spline interpolation to a numerical integration of the form \[ \int^{x_{j+1}}_{x_ j}f(x)dx\quad or\quad (\int^{x_{j+1}}_{x_ j}f(x)dx)/(\int^{1}_{0}f(x)dx) \] where \(j=0,1,...,n-1\). It is shown that an integral of the spline-on-spline interpoland gives better results than the spline itself ...
Sakai, Manabu, Usmani, Riaz A
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The use of spline-on-spline for the approximation of Cauchy principal value integrals
The use of spline-on-spline approximations to estimate Cauchy principal value integrals and their derivatives is discussed. Better results than those obtained by differentiating traditional single spline approximations might be expected. Unfortunately, the proofs of convergence (Theorems 3.2, 3.3) appear to be flawed because of the assumption of ...
G. Hossein Behforooz
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Efficient and direct estimation of the variance–covariance matrix in EM algorithm with interpolation method [PDF]
The expectation–maximization (EM) algorithm is a seminal method to calculate the maximum likelihood estimators (MLEs) for incomplete data. However, one drawback of this algorithm is that the asymptotic variance–covariance matrix of the MLE is not ...
Chen, Ding-Geng (Din) +2 more
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Fast Continuous Swimming of Saithe (Pollachius Virens):a Dynamic Analysis of Bending Moments and Muscle Power [PDF]
This paper deals with the hydrodynamics and internal dynamics of fish swimming. Our analysis starts from kinematic data obtained for fast swimming saithe, and treats the fish as a flexible elongated body.
Hess, F, Videler, JJ
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Linear Independence of T-Spline Blending Functions of Degree One for Isogeometric Analysis
Linear independence of the blending functions is a necessary requirement for T-spline in isogeometric analysis. The main work in this paper focuses on the analysis about T-splines of degree one, we demonstrate that all the blending functions of such T ...
Aizeng Wang +6 more
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Fast Continuous Swimming of Two Pelagic Predators, Saithe (Pollachius Virens) and Mackerel (Scomber Scombrus):a Kinematic Analysis [PDF]
Straight, forward, unrestrained swimming behaviour, with periodic lateral oscillations of body and tailfin, was described and compared for saithe and mackerel.
Hess, F, Videler, JJ
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Smoothing data series by means of cubic splines: quality of approximation and introduction of a repeating spline approach [PDF]
Cubic splines with equidistant spline sampling points are a common method in atmospheric science, used for the approximation of background conditions by means of filtering superimposed fluctuations from a data series.
S. Wüst +7 more
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To investigate the influence of the manufacturing parameters on mesh behaviors for harmonic gear drive, the mathematical model of slotting the circular spline was established using kinematic method based on the tooth profile of the circular spline ...
Chaosheng SONG +4 more
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Realization of a recursive digital filter based on penalized splines [PDF]
In this paper the possibility of development of the recursive digital filter using a P-spline is considered. The frequency and time response of the spline filter for real-time data are analytically obtained and investigated. The influence of the P-spline
Elena Kochegurova, Danni Wu
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