Results 21 to 30 of about 1,334 (186)
Journal of Approximation Theory, 2000 The author gives estimations of bounds for the fundamental functions of Hermite interpolation of higher order on an arbitrary system of nodes. Those estimations are applied for investigations of convergence of Hermite interpolation and Hermite-Fejér-type interpolation of higher order.
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Area-preserving geometric Hermite interpolation [PDF]
Journal of Computational and Applied Mathematics, 2019 In this paper we establish a framework for planar geometric interpolation with exact area preservation using cubic B zier polynomials. We show there exists a family of such curves which are $5^{th}$ order accurate, one order higher than standard geometric cubic Hermite interpolation.
Geoffrey McGregor, Jean-Christophe Nave
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Matrix Transformations and Disk of Convergence in Interpolation Processes
International Journal of Mathematics and Mathematical Sciences, 2008 Let 𝐴𝜌 denote the set of functions analytic in |𝑧|
Chikkanna R. Selvaraj, Suguna Selvaraj
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On Hermite-Fejér type interpolation [PDF]
Bulletin of the Australian Mathematical Society, 1983 For the Hermite-Fejér interpolation operator of higher order constructed on the roots , 1 ≤ k ≤ m, of the Jacobi-polynomial it is shown that is positive for all m ∈ N, if (α, β) ∈ [−¾, −¼]2. Further there is given an bound, which implies for arbitrary f ∈ C(I) and (α, β) ∈ [−¾, −¼]2.
Knoop, H.-B., Stockenberg, B.
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Interpolating Industrial Robot Orientation with Hermite Spline Curve Based on Logarithmic Quaternion
Xibei Gongye Daxue Xuebao, 2019 Smooth orientation planning has an important influence on the working quality and service life as for industrial robot. Based on the logarithmic quaternion, a compact method to map a spline curve from Cartesian space to quaternion space is proposed, and ...
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AIChE Journal, EarlyView.Abstract This work presents the optimization of cell cultivation for monoclonal antibody (mAb) production. We developed a hybrid model describing the effects of multiple process variables on antibody productivity and impurity generation. An automated platform with 12 × 250 mL bioreactors was set up.
Kosuke Nemoto +6 more
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International Journal for Numerical Methods in Fluids, EarlyView.This study investigates the impact of uncertain parameters on Navier–Stokes equations coupled with heat transfer using the Intrusive Polynomial Chaos Method (IPCM). Sensitivity equations are formulated for key input parameters, such as viscosity and thermal diffusivity, and solved numerically using the Finite Element‐Volume method.
N. Nouaime +3 more
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PLoS ONE, 2020 In this paper, a new class of rational quadratic/linear trigonometric Hermite functions with two shape parameters is proposed. Based on these Hermite functions, new improved first class of Side-Side (FCSS), second class of Side-Side (SCSS), first class ...
Mingshan Qiu, Yuanpeng Zhu
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Extended Jensen’s Functional for Diamond Integral via Hermite Polynomial
Journal of Function Spaces, 2021 In this paper, with the help of Hermite interpolating polynomial, extension of Jensen’s functional for n-convex function is deduced from Jensen’s inequality involving diamond integrals.
Rabia Bibi +3 more
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Local Polynomial Regression and Filtering for a Versatile Mesh‐Free PDE Solver
International Journal for Numerical Methods in Fluids, EarlyView.A high‐order, mesh‐free finite difference method for solving differential equations is presented. Both derivative approximation and scheme stabilisation is carried out by parametric or non‐parametric local polynomial regression, making the resulting numerical method accurate, simple and versatile. Numerous numerical benchmark tests are investigated for
Alberto M. Gambaruto
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