Results 51 to 60 of about 9,059 (226)
Deficient cubic spline interpolation
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1988 Piecewise polynomial functions of less than maximum (nontrivial) smoothness which are called deficient splines, are quite interesting and useful. The authors show the existence and uniqueness of a deficient cubic spline interpolant by making less restrictive continuity requirements at the joints and having two interpolatory conditions, one of which is ...
Rana, S. S., Purohit, M.
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The Journal of Humanistic Counseling, EarlyView.ABSTRACT Nonverbal synchrony supports therapeutic alliance, yet its role in Gestalt psychotherapy remains underexplored. This manuscript presents the RECiPROsody study protocol, designed to investigate how multimodal interpersonal synchrony between therapists and clients relates to embodied attunement and therapeutic outcomes.
Serena Iacono Isidoro +7 more
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Explicit Dynamics Analysis of the Impact Response of Lithium‐Ion Cells
Macromolecular Symposia, EarlyView.ABSTRACT It is very important to make sure that EV lithium‐ion cells are safe when they are abused, like when they are hit or crushed. This kind of loading can cause structural failure or thermal runaway. Even though FEA is used a lot, common practices make the jellyroll the same and ignore the fact that the electrolyte is a moving fluid.
Radu‐Ionuț Stoica +2 more
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地震科学进展The distance traveled by contour wave with artificial wave velocity in a step-time is often inconsistent with the mesh size. Therefore, when the transmission boundary formula is applied, the calculation nodes of transmission boundary are usually ...
Xueliang Duan +8 more
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On deficient cubic spline interpolants
Journal of Approximation Theory, 1992 This paper deals with continuously differentiable cubic splines \(s\). They are determined by the following interpolatory conditions (i) \(f(t_ i)=s(t_ i)\), \(1\leq i\leq n\) \((t_ i=x_{i-1}+mh,\;x_ i=x_ 0+ih,\;h=x_ i-x_{i-1},\;0\leq m\leq 1)\) and (ii) \(\int^{x_ i}_{x_{i- 1}}(f-s)(x)dg(x)=0\), \(1\leq i\leq n\), where \(f\) is \(\ell\)-periodic ...
Kumar, Arun, Govil, L.K
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CUBIC SPLINE SUPER FRACTAL INTERPOLATION FUNCTIONS [PDF]
Fractals, 2014 In the present work, the notion of Cubic Spline Super Fractal Interpolation Function (SFIF) is introduced to simulate an object that depicts one structure embedded into another and its approximation properties are investigated. It is shown that, for an equidistant partition points of [x0, xN], the interpolating Cubic Spline SFIF[Formula: see text] and
Kapoor, G. P., Prasad, Srijanani Anurag
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Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
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On deficient cubic spline interpolation
Journal of Approximation Theory, 1981 Following Schoenberg [5] and de Boor [2] one of the present authors [3] has treated cubic spline interpolation by matching the integral mean of a function and a spline between successive equidistant knots. Earlier Sharma and Tzimbalario [6] had studied quadratic splines with similar matching conditions. Our object is to study deficient cubic splines by
Dikshit, H.P, Powar, P
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A Simple, Dynamic Geometric Phantom for MRI and CT Reconstruction Pipelines: Beyond Shepp–Logan
Magnetic Resonance in Medicine, EarlyView.ABSTRACT A customizable, dynamic geometric phantom was developed to bridge the gap between simplistic static phantoms and highly realistic, complex 4D solutions. The phantom enables initial testing, helps detect implementation errors, and supports quantitative evaluation of new dynamic acquisition and reconstruction methods.
Tamás Hakkel +4 more
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The Quasi-Cubic Trigonometric Cardinal Spline With Local Shape Adjustability
Journal of MathematicsThe cubic Cardinal spline curve is a fundamental tool in the field of interpolation curve design. However, the cubic Cardinal spline curve cannot adjust its shape locally through the free parameters, and it struggles to accurately represent common ...
Juncheng Li, Shanjun Liu, Chengzhi Liu
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