Results 91 to 100 of about 501,741 (285)

Gradient Estimation using Lagrange Interpolation Polynomials [PDF]

In this paper we use Lagrange interpolation polynomials to obtain good gradient estimations.This is e.g. important for nonlinear programming solvers.As an error criterion we take the mean squared error.This error can be split up into a deterministic and ...
Brekelmans, R.C.M., Hamers, H.J.M., Hertog, D. den, Driessen, L.   +3 more
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Key Technical Fields and Future Outlooks of Space Manipulators: A Survey

SmartBot, EarlyView.
This paper systematically reviews the technological development of space manipulators, emphasizing the unique challenges posed by space environments. It examines four areas: structural design, modeling, planning, and control, while introducing typical ground test platforms.
Gang Chen, Zeyuan Huang, Ying Yan, Xiaokang An, Zhikai Zhao, Jirong Lin, Xiangrong Zhao, Xianyuan Gao, Junyi Zong, Xuewen Jia, Zhipeng Yao, Jianliang Liao, Ning Ji   +12 more
wiley   +1 more source

Fiber Bragg Grating Force Sensors for Minimally Invasive Surgery: State of the Art, Challenges, and Opportunities

SmartBot, EarlyView.
This article reviews the application of fiber Bragg grating (FBG) technology for precise force sensing in minimally invasive surgery. It outlines the fundamental working principles and algorithms used to interpret sensor data. The text surveys clinical applications across various medical fields, such as ophthalmology and vascular intervention (Table of
Shiyuan Dong, Tianqi Huang, Lingyu Chen, Shucong Yin, Qing Chang, Dingpei Han, Yangxi Li, Boyu Zhang, Hongen Liao, Fang Chen   +9 more
wiley   +1 more source

Fractional multiwavelet methods for solving spatiotemporal fractional diffusion equations with non-smooth solutions

Mathematical Modelling and Analysis
This introduces a new method that effectively solves spatiotemporal fractional diffusion equation(FDE) using fractional Lagrange interpolation and fractional multiwavelets. The method effectively addresses situations with non-smooth solutions.
Jian Zhang, Chaoyue Guan, Hong Du
doaj   +1 more source

On Lagrange-Hermite Interpolation

Journal of the Society for Industrial and Applied Mathematics, 1964
where Dt d/dt and aj,m is a Kronecker symbol. These conditions are used by Householder [5, pp. 193-195] to derive the formulas for p = 1, 2. The formula for p = 3 is given by Salzer [9]. The solution for n = 0 is given by Taylor's formula. Many authors have reported on the case where p depends on i.
openaire   +3 more sources

Revealing Airflow–Particle Dynamics in Dry Powder Inhalers

Small, EarlyView.
An integrated framework combining device and formulation characterization, CFD–DEM simulations, and interpretable machine learning is established. This framework reveals how airflow and particle interactions govern powder dispersion across prevailing dry powder inhalers.
Jiale Chen, Ziyi Fan, Qingliang Yang, Yuanyuan Shao, Dongbing Li, Xiaoyang Wei, Xiang Luo, Kaiqi Shi, Gang Yang, Gensheng Yang, Ying Ma, Yuqing Ye, Jesse Zhu   +12 more
wiley   +1 more source

Computing Skinning Weights via Convex Duality

Computer Graphics Forum, EarlyView.
We present an alternate optimization method to compute bounded biharmonic skinning weights. Our method relies on a dual formulation, which can be optimized with a nonnegative linear least squares setup. Abstract We study the problem of optimising for skinning weights through the lens of convex duality.
J. Solomon, O. Stein
wiley   +1 more source

Register‐Efficient Linear‐Time Evaluation in the Bernstein Basis

Computer Graphics Forum, EarlyView.
Abstract We investigate the evaluation of points and derivatives of Bézier curves and surfaces on modern architectures, focusing on performance and guided by numerical error bounds. While the de Casteljau algorithm remains the reference for numerical robustness, its linear working‐set size imposes substantial register pressure on GPUs.
Gábor Valasek, Anna Lili Horváth
wiley   +1 more source

Biorthogonality of the Lagrange interpolants

Journal of Computational and Applied Mathematics, 2004
We show that the Lagrange interpolation polynomials are biorthogonal with respect to a set of rational functions whose poles coinicde with interpolation ...
openaire   +2 more sources

Barycentric Lagrange Interpolation [PDF]

, 2002
Barycentric interpolation is a variant of Lagrange polynomial interpolation that is fast and stable. It deserves to be known as the standard method of polynomial interpolation.\ud \ud Dedicated to the memory of Peter Henrici (1923 ...
Berrut, Jean-Paul, Trefethen, Lloyd N.
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