Results 11 to 20 of about 5,521 (203)
The Cardinal Spline Methods for the Numerical Solution of Nonlinear Integral Equations
Journal of Chemistry, 2020 In this study, an effective technique is presented for solving nonlinear Volterra integral equations. The method is based on application of cardinal spline functions on small compact supports.
Xiaoyan Liu +3 more
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Totally positive refinable functions with general dilation M [PDF]
, 2017 We construct a new class of approximating functions that are M-refinable and provide shape preserving approximations. The refinable functions in the class are smooth, compactly supported, centrally symmetric and totally positive.
GORI, Laura, PITOLLI, Francesca
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A Cardinal Spline Approach to Wavelets [PDF]
Proceedings of the American Mathematical Society, 1991 Summary: While it is well known that the \(m\)-th order \(B\)-spline \(N_ m(x)\) with integer knots generates a multiresolution analysis, \(\cdots\subset V_{- 1}\subset V_ 0\subset\cdots\), with the \(m\)th order of approximation, we prove that \(\psi(x):=L^{(m)}_{2m}(2x-1)\), where \(L_{2m}(x)\) denotes the \((2m)\)th order fundamental cardinal ...
Chui, Charles K., Wang, Jian-Zhong
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Shock and Vibration, 2004 A spline-based differential quadrature method (SDQM) is elaborated and applied to the vibration analysis of rectangular plates with free edges. The sextic B-spline functions are used to construct the pertaining cardinal spline interpolants.
Hongzhi Zhong, Qiang Guo
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Bell-shaped nonstationary refinable ripplets [PDF]
, 2015 We study the approximation properties of the class of nonstationary refinable ripplets introduced in \cite{GP08}. These functions are solution of an infinite set of nonstationary refinable equations and are defined through sequences of scaling masks that
Pitolli, Francesca
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Cardinal interpolation and spline fucntions V. The B-splines for cardinal Hermite interpolation
Linear Algebra and its Applications, 1973 AbstractIn the third paper of this series on cardinal spline interpolation [4] Lipow and Schoenberg study the problem of Hermite interpolation S(v) = Yv, S′(v) = Yv′,…,S(r−1)(v) = Yv(r−1) for allv. The B-splines are there conspicuous by their absence, although they were found very useful for the case γ = 1 of ordinary (or Lagrange) interpolation (see ...
Schoenberg, I.J., Sharma, A.
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Construction of a family of non-stationary biorthogonal wavelets
Journal of Inequalities and Applications, 2019 The family of exponential pseudo-splines is the non-stationary counterpart of the pseudo-splines and includes the exponential B-spline functions as special members.
Baoxing Zhang +3 more
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Sampled signal reconstruction via H2 optimization [PDF]
, 2006 In this paper the sampled signal reconstruction problem is formulated and solved as the sampled-data H2 smoothing problem. Both infinite (non-causal reconstructor) and finite (reconstructor with relaxed causality) preview cases are considered.
Meinsma, Gjerrit, Mirkin, Leonid
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The Lebesgue constants for cardinal spline interpolation [PDF]
, 1975 If (yν) ϵ l∞, let LnY be the unique bounded cardinal spline of degree n − 1 interpolating to y at the integers, i.e., LnY(v)=Yv, ν = 0, ±1, ±2. The norm of this operator: ‖Ln‖=sup‖Lny‖/‖y‖ is called a Lebesgue constant.
Richards, Franklin
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Zhejiang Daxue xuebao. Lixue ban, 2019 当数据点给定时，三次Cardinal 样条的张力参数和边界条件均为自由变量，因此可对这些自由变量进行优化，以得到满足某种特定要求的最佳三次Cardinal 样条。讨论了如何通过优化张力参数与边界条件使得构造的平面三次Cardinal 样条尽可能光顺。首先，分析了三次Cardinal 参数样条曲线形状的影响因素；然后，利用曲率变化能极小对三次Cardinal 参数样条曲线的张力参数与边界条件进行优化，获得张力参数与边界条件的唯一解； 最后，给出了对应三次Cardinal ...
LIJuncheng(李军成) +2 more
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