Results 101 to 110 of about 19,027 (302)

Polynomial interpolation in R3

Computers & Mathematics with Applications, 2004
A linear subspace \({G\subset C(R_n)}\) is called \(k\)-interpolating if for every choice of distinct points \({u_1,u_2,\dots,u_k\in R_n}\) and for any choice of scalars \({a_1,a_2,\dots,a_k\in R}\), there exists \({g\in G}\) such that \({g(u_j)=a_j}\), for \({j=1,2,\dots,k}\). The main result of the article is the example of a 12-dimensional subspace \
openaire   +2 more sources

Machine Learning Interatomic Potentials for Energy Materials: Architectures, Training Strategies, and Applications

Advanced Energy Materials, EarlyView.
Machine learning interatomic potentials bridge quantum accuracy and computational efficiency for materials discovery. Architectures from Gaussian process regression to equivariant graph neural networks, training strategies including active learning and foundation models, and applications in solid‐state electrolytes, batteries, electrocatalysts ...
In Kee Park, Saeed Pourasad, Jinhong Mun, Arunkumar Chitteth Rajan, Tae Hyeon Park, Anand Rohit, Mohammad Zafari, Tan‐Lien Pham, Eunjae Jung, Bonseung Koo, Miran Ha, Gi Beom Sim, Hyun Gyu Park, Won Woong Choi, Kwanghyeon Jo, Soohaeng Yoo Willow, David ChangMo Yang, Chang Woo Myung, Geunsik Lee, Kwang S. Kim   +19 more
wiley   +1 more source

BIVARIATE POLYNOMIAL INTERPOLATION BASED ON LINE INTEGRALS

We study bivariate polynomial interpolation based on line integrals over line segments connecting two points on two fixed straight lines in the plane.
Van Toan, Do, Van Khiem, Nguyen
core   +1 more source

Efficient algorithms for polynomial interpolation and numerical differentiation

, 1970
Algorithms based on Newton’s interpolation formula are given for: simple polynomial interpolation, polynomial interpolation with derivatives supplied at some of the data points, interpolation with piecewise polynomials having a continuous first ...
Fred T. Krogh
core   +1 more source

Solid–liquid equilibria in the LiOH–ethanol–water system: Solubility measurements and thermodynamic modeling

AIChE Journal, EarlyView.
Abstract The demand for LiOH is driven by the growth of the electric vehicle industry. Evaporative crystallization of LiOH·H2O is energy intensive, whereas ethanol‐based antisolvent crystallization has emerged as a more sustainable alternative. From a process design perspective, the crystallization yield depends on the ethanol dosage, and thermodynamic
Xiaoqi Xu, Chentao He, Janet A. W. Elliott, Liuyin Xia   +3 more
wiley   +1 more source

A kind of improved bivariate even order Bernoulli-type multiquadric quasi-interpolation operator and its application in two-dimensional coupled Burgers’ equations

Boundary Value Problems
Multiquadric quasi-interpolation is an efficient high-dimensional approximation algorithm. It can directly obtain the approximation term and its derivatives without solving any large-scale linear equations.
Ruifeng Wu
doaj   +1 more source

Polynomial interpolation in Matlab

, 2018
The problem of constructing such a continuous function is called data fitting. Many times, data given only at discrete points. With interpolation, we seek a function that allows us to approximate f(x) such that functional values between the original data
Muzaffar Shah Bin Mansor
core  

On Polynomial Interpolation Of Two Variables

, 2003
Polynomial interpolation of two variables based on points that are located on multiple circles is studied. First, the poisedness of a Birkhoff interpolation on points that are located on several concentric circles is established.
Borislav Bojanov, Bojanov, Borislav, Xu, Yuan, Yuan Xu   +3 more
core   +1 more source

A new drag and lift correlation for spherocylinders from fully resolved Immersed Boundary Method

AIChE Journal, EarlyView.
Abstract Many industrial processes deal with non‐spherical particles, e.g., mineral mining and biomass conversion. It is crucial to understand the particles' hydrodynamics to control and optimize these processes. To extend the current state‐of‐the‐art from arrays of spherical particles to spherocylindrical particles, we performed extensive particle ...
A. H. Huijgen, Y. Sterkenburgh, Y. Tang, N. G. Deen, M. W. Baltussen   +4 more
wiley   +1 more source

Polynomial interpolation of GPS satellite coordinates

, 2006
This article describes an algorithm for polynomial interpolation of GPS satellite coordinates and its implementation in MATLAB. The algorithm is intended for realtime processing software and computes the position and velocity of GPS satellites from both ...
Andersson, Johan Vium,, Horemuz, Milan,
core   +1 more source