Results 31 to 40 of about 938,411 (197)
On some bivariate interpolation procedures
Journal of Numerical Analysis and Approximation Theory, 2004 In an important paper published in 1966 by the first author [10] a very general interpolation formula for univariate functions, which includes, as special cases, the classical interpolation formulae of Lagrange, Newton, Taylor and Hermite was introduced ...
Dimitrie D. Stancu, Ioana Taşcu
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Shape preserving piecewise rational interpolation [PDF]
, 1983 An explicit representation of a C1 piecewise rational cubic function is developed which can be used to solve the problem of shape preserving interpolation.
Gregory, JA, Delbourgo, R
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Optimal Derivative-Free Root Finding Methods Based on Inverse Interpolation
Mathematics, 2019 Finding a simple root for a nonlinear equation f ( x ) = 0 , f : I ⊆ R → R has always been of much interest due to its wide applications in many fields of science and engineering.
Moin-ud-Din Junjua +2 more
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An enhanced nodal gradient finite element for non-linear heat transfer analysis [PDF]
, 2019 The present work is devoted to the analysis of non-linear heat transfer problems using the recent development of consective-interpolation procedure. Approximation of temperature is enhanced by taking into account both the nodal values and their averaged ...
Nguyen, Minh Ngoc +2 more
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On a class of modified Newton—Cotes quadrature formulae based upon mixed-type interpolation
Journal of Computational and Applied Mathematics, 1990 In 1988, \textit{U. T. Ehrenmark} [J. Comput. Appl. Math. 21, 87-99 (1988; Zbl 0632.65017)] gave a new quadrature formula which is exact for the functions 1, sin kx, cos kx over [0,2h] - a generalization of the Simpson's formula. Here the authors extend this idea and obtain quadrature formulae which are exact for polynomials up to degree m-2 and also ...
Vanden Berghe, G. +2 more
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Advanced Healthcare Materials, EarlyView.Magnetically responsive nanoparticles enable remote control over biomaterials, cells, and engineered tissues. This review summarizes material design, biological safety, fabrication and actuation strategies, computational validation, and translational pathways that support the development of magnetic tissue‐engineering platforms and future magnetically ...
Konstantinos Ioannidis +8 more
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Advanced Materials, EarlyView.Aqueous ammonium‐ion batteries (AAIBs) face a hydrogen‐bond paradox: the HB network enables fast NH4+ transport but triggers water decomposition. This review dissects this dilemma, evaluates multiple electrolyte engineering strategies, and outlines four future directions for next‐generation AAIB design ABSTRACT Aqueous ammonium‐ion batteries (AAIBs ...
Zi‐Hang Huang +6 more
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LLM‐Integrated Human–Robot Interaction System for Microrobots
Advanced Robotics Research, EarlyView.This paper proposes an LLM‐based control framework for guiding microrobots using human natural language. This framework can convert the natural human speech into safe and executable command sets for reliable navigation in complex environments. The experimental results show high accuracy and robustness in task performance, demonstrating the potential of
Bairong Zhu, Amar Salehi, Tingting Yu
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MathematicsIn the paper, two nonlinear variants of the Newton method are developed for solving nonlinear equations. The derivative-free nonlinear fractional type of the one-step iterative scheme of a fourth-order convergence contains three parameters, whose optimal
Chein-Shan Liu, Chih-Wen Chang
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Newton interpolation in Fejér and Chebyshev points
, 1989 Let Γ \Gamma be a Jordan curve in the complex plane, and let Ω \Omega be the compact set bounded by Γ \Gamma . Let f denote a function analytic on Ω \Omega .
Lothar Reichel, Bernd Fischer
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