Results 251 to 260 of about 2,156,600 (296)

An inherently consistent reproducing kernel gradient smoothing framework toward efficient Galerkin meshfree formulation with explicit quadrature

Computer Methods in Applied Mechanics and Engineering, 2019
A reproducing kernel gradient smoothing framework with explicit quadrature rules is proposed for efficient Galerkin meshfree formulation. In this framework, the meshfree smoothed gradients are formulated via a reproducing kernel representation of the ...
Dong-dong Wang, Junchao Wu
exaly   +2 more sources

Reproducing kernel particle methods

International Journal for Numerical Methods in Fluids, 1995
Wing Kam Liu, Sukky Jun
exaly   +2 more sources

Reproducing kernel functions for difference equations [PDF]

Discrete and Continuous Dynamical Systems - Series S, 2015
In this work, some new reproducing kernel functions for difference equations are found. Reproducing kernel functions have not been obtained for difference equations until now.
Ali Akgül, Mustafa Inc
exaly   +2 more sources

A fourth-order least-squares based reproducing kernel method for one-dimensional elliptic interface problems

, 2021
Increased attention has been paid on numerical modeling of interface problems as its wide applications in various aspects of science. Motivated by enhancing the application of the reproducing kernel, we focus on establishing a broken cubic spline spaces ...
Min-Qiang Xu, Lu-Fang Zhang, E. Tohidi
semanticscholar   +1 more source

Optimal Transport in Reproducing Kernel Hilbert Spaces: Theory and Applications

IEEE Transactions on Pattern Analysis and Machine Intelligence, 2020
In this paper, we present a mathematical and computational framework for comparing and matching distributions in reproducing kernel Hilbert spaces (RKHS).
Zhen Zhang, Mian-Zhi Wang, A. Nehorai
semanticscholar   +1 more source

A meshfree stabilized collocation method (SCM) based on reproducing kernel approximation

Computer Methods in Applied Mechanics and Engineering, 2020
Meshfree direct collocation method (DCM) based on strong form suffers low accuracy and instability compared with Galerkin-based meshfree methods. Meshfree weighted least squares collocation method (WLSCM) can improve the accuracy and stability by ...
Li-Hua Wang, Zhihao Qian
semanticscholar   +1 more source

Atangana-Baleanu fractional framework of reproducing kernel technique in solving fractional population dynamics system

, 2020
In this article, a class of population growth model, the fractional nonlinear logistic system, is studied analytically and numerically. This model is investigated by means of Atangana-Baleanu fractional derivative with a non-local smooth kernel in ...
Shatha Hasan, A. El-Ajou, S. Hadid, M. Al-Smadi, S. Momani   +4 more
semanticscholar   +1 more source

Numerical simulation of telegraph and Cattaneo fractional‐type models using adaptive reproducing kernel framework

Mathematical methods in the applied sciences, 2020
In this article, a class of generalized telegraph and Cattaneo time‐fractional models along with Robin's initial‐boundary conditions is considered using the adaptive reproducing kernel framework.
M. Al-Smadi, Omar Abu Arqub, Mohamed S. Gaith   +2 more
semanticscholar   +1 more source

Rainfall-runoff modeling through regression in the reproducing kernel Hilbert space algorithm

Journal of Hydrology, 2020
In this study, Regression in the Reproducing Kernel Hilbert Space (RRKHS) technique which is a non-linear regression approach formulated in the reproducing kernel Hilbert space (RRKHS) is applied for rainfall-runoff (R-R) modeling for the first time. The
M. Safari, Shervin Rahimzadeh Arashloo, A. Danandeh Mehr   +2 more
semanticscholar   +1 more source

Reproducing kernel method for Fangzhu's oscillator for water collection from air

Mathematical methods in the applied sciences, 2020
In this article, reproducing kernel method is used to approximate nonlinear oscillator in order to reveal main factors affecting the usefulness of an ancient water collection device known as Fangzhu, that is, the surface temperature, the air velocity ...
A. Akgül, Hijaz Ahmad
semanticscholar   +1 more source