Results 11 to 20 of about 24,119 (110)

Internality of Two-Measure-Based Generalized Gauss Quadrature Rules for Modified Chebyshev Measures II

Mathematics
Gaussian quadrature rules are commonly used to approximate integrals with respect to a non-negative measure dσ^. It is important to be able to estimate the quadrature error in the Gaussian rule used.
Dušan Lj. Djukić, Rada M. Mutavdžić Djukić, Aleksandar V. Pejčev, Lothar Reichel, Miodrag M. Spalević, Stefan M. Spalević   +5 more
doaj   +1 more source

An Efficient Quadrature Rule for Highly Oscillatory Integrals with Airy Function

Mathematics
In this work, our primary focus is on the numerical computation of highly oscillatory integrals involving the Airy function. Specifically, we address integrals of the form ∫0bxαf(x)Ai(−ωx)dx over a finite or semi-infinite interval, where the integrand ...
Guidong Liu, Zhenhua Xu, Bin Li
doaj   +1 more source

On the computation of Gaussian quadrature rules for Chebyshev sets of linearly independent functions [PDF]

, 2017
We consider the computation of quadrature rules that are exact for a Chebyshev set of linearly independent functions on an interval $[a,b]$. A general theory of Chebyshev sets guarantees the existence of rules with a Gaussian property, in the sense that $
Huybrechs, Daan
core   +1 more source

Accurate and efficient computation of nonlocal potentials based on Gaussian-sum approximation

, 2015
We introduce an accurate and efficient method for a class of nonlocal potential evaluations with free boundary condition, including the 3D/2D Coulomb, 2D Poisson and 3D dipolar potentials.
Exl, Lukas, Mauser, Norbert J., Zhang, Yong   +2 more
core   +2 more sources

Artificial Intelligence for Multiscale Modeling in Solid‐State Physics and Chemistry: A Comprehensive Review

Advanced Intelligent Systems, EarlyView.
This review explores the transformative impact of artificial intelligence on multiscale modeling in materials research. It highlights advancements such as machine learning force fields and graph neural networks, which enhance predictive capabilities while reducing computational costs in various applications.
Artem Maevskiy, Vitalii Kapitan, Andrey Ustyuzhanin   +2 more
wiley   +1 more source

A Lanczos Method for Approximating Composite Functions

, 2012
We seek to approximate a composite function h(x) = g(f(x)) with a global polynomial. The standard approach chooses points x in the domain of f and computes h(x) at each point, which requires an evaluation of f and an evaluation of g. We present a Lanczos-
Eric T. Phipps, Fernandes, Gautschi, Gerritsma, Golub, Golub, Gragg, Greenbaum, Greenbaum, Greenbaum, Heroux, Lanczos, Meurant, Meurant, O’Leary, Parlett, Paul G. Constantine, Poette, Saad, Shadid, Simon, Simon, Xiu, Xiu   +23 more
core   +1 more source

WSPLK: A systematic approach to the thermodynamic characterization of light and heavy Mexican crude oil

The Canadian Journal of Chemical Engineering, EarlyView.
Abstract A streamlined characterization framework (WSPLK) is presented for modelling complex reservoir fluids using cubic equations of state. The key methodological contribution is the introduction of a single global parameter ε directly into Pedersen's boiling‐point correlation, restoring pure‐component calibration and eliminating the need for ...
Angélica Merlo‐Robredo, Heber Barragán‐Mayet, Lourdes Mayet‐Cruz, José Fernando Barragán‐Aroche   +3 more
wiley   +1 more source

Stability Evaluation and Parametric Optimization of Coal‐Concrete Composite Bearing Systems Under Mine‐Water‐Induced Deterioration: Experiments and FEINN Analysis

Energy Science &Engineering, EarlyView.
Mine‐water immersion tests reveal pronounced coal weakening (vs. minor concrete degradation), identifying coal pillars as the stability‐limiting component in composite dams. A coupled FEINN framework quantifies extreme‐pressure stability and ranks multi‐parameter designs via a normalized multi‐indicator scheme, enabling optimized dam configuration for ...
He Wen, Hongchuan Dai, Guixin Zhang, Pengzhe Li, Tong Yang, Cang Gong, Renbo Gao   +6 more
wiley   +1 more source

Generation and application of multivariate polynomial quadrature rules

, 2017
The search for multivariate quadrature rules of minimal size with a specified polynomial accuracy has been the topic of many years of research. Finding such a rule allows accurate integration of moments, which play a central role in many aspects of ...
Jakeman, John D., Narayan, Akil
core   +1 more source

From tetrachoric to kappa: How to assess reliability on binary scales

British Journal of Mathematical and Statistical Psychology, EarlyView.
Abstract Reliability is crucial in psychometrics, reflecting the extent to which a measurement instrument can discriminate between individuals or items. While classical test theory and intraclass correlation coefficients are well‐established for quantitative scales, estimating reliability for binary outcomes presents unique challenges due to their ...
Sophie Vanbelle
wiley   +1 more source