Results 41 to 50 of about 3,893 (298)

Enriched Reproducing Kernel Approximation: Reproducing Functions with Discontinuous Derivatives [PDF]

, 2006
In this paper we propose a new approximation technique within the context of meshless methods able to reproduce functions with discontinuous derivatives. This approach involves some concepts of the reproducing kernel particle method (RKPM), which have been extended in order to reproduce functions with discontinuous derivatives.
Joyot, Pierre, Trunzler, Jean, Chinesta, Francisco   +2 more
openaire   +3 more sources

A functional decomposition of finite bandwidth reproducing kernel Hilbert spaces [PDF]

Operators and Matrices, 2021
In this work, we consider "finite bandwidth" reproducing kernel Hilbert spaces which have orthonormal bases of the form $f_n(z)=z^n \prod_{j=1}^J \left( 1 - a_{n}w_j z \right)$, where $w_1 ,w_2, \ldots w_J $ are distinct points on the circle $\mathbb{T}$ and $\{ a_n \}$ is a sequence of complex numbers with limit $1$.
Adams, Gregory T., Wagner, Nathan A.
openaire   +2 more sources

Composition-Differentiation Operator on the Bergman Space

Pan-American Journal of Mathematics, 2023
We investigate the properties of composition-differentiation operator Dψ on the Bergman space of the unit disk L2a(D). Specifically, we characterize the properties of the reproducing kernel for the derivatives of the Bergman space functions. Moreover, we
K. O. Aloo, J. O. Bonyo, I. Okello
doaj   +1 more source

Effective numerical technique for nonlinear Caputo-Fabrizio systems of fractional Volterra integro-differential equations in Hilbert space

Alexandria Engineering Journal, 2022
The point of this paper is to analyze and investigate the analytic-approximate solutions for fractional system of Volterra integro-differential equations in framework of Caputo-Fabrizio operator.
Fatima Youbi, Shaher Momani, Shatha Hasan, Mohammed Al-Smadi   +3 more
doaj   +1 more source

Structured Functional Additive Regression in Reproducing Kernel Hilbert Spaces [PDF]

Journal of the Royal Statistical Society Series B: Statistical Methodology, 2013
SummaryFunctional additive models provide a flexible yet simple framework for regressions involving functional predictors. The utilization of a data-driven basis in an additive rather than linear structure naturally extends the classical functional linear model.
Hongxiao, Zhu, Fang, Yao, Hao Helen, Zhang   +2 more
openaire   +2 more sources

The meshless analysis of wave equations based on the RRKPM

Results in Physics, 2020
In this paper, the method of radial basis function (RBF) is employed to construct the approximating function of the reproducing kernel particle method (RKPM), which can reduce the adverse effect of different kernel functions on computational accuracy and
Jichao Ma, Hongfen Gao, Gaofeng Wei, Jinwei Qiao   +3 more
doaj   +1 more source

Numerical solvability of generalized Bagley–Torvik fractional models under Caputo–Fabrizio derivative

Advances in Difference Equations, 2021
This paper deals with the generalized Bagley–Torvik equation based on the concept of the Caputo–Fabrizio fractional derivative using a modified reproducing kernel Hilbert space treatment.
Shatha Hasan, Nadir Djeddi, Mohammed Al-Smadi, Shrideh Al-Omari, Shaher Momani, Andreea Fulga   +5 more
doaj   +1 more source

Series Expansion and Reproducing Kernels for Hyperharmonic Functions

Journal of Mathematical Analysis and Applications, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jevtić, Miroljub, Pavlović, Miroslav
openaire   +2 more sources

Predicting Epileptogenic Tubers in Patients With Tuberous Sclerosis Complex Using a Fusion Model Integrating Lesion Network Mapping and Machine Learning

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Accurate localization of epileptogenic tubers (ETs) in patients with tuberous sclerosis complex (TSC) is essential but challenging, as these tubers lack distinct pathological or genetic markers to differentiate them from other cortical tubers.
Tinghong Liu, Qi Wang, Suhui Kuang, Dezhi Cao, Ping Ding, Shaohui Zhang, Haihua Wei, Zhirong Wei, Jinshan Xu, Xinyu Huang, Bing Liu, Shuli Liang   +11 more
wiley   +1 more source

Spheroidal spline interpolation and its application in geodesy

Geodesy and Cartography, 2020
The aim of this paper is to study the spline interpolation problem in spheroidal geometry. We follow the minimization of the norm of the iterated Beltrami-Laplace and consecutive iterated Helmholtz operators for all functions belonging to an appropriate ...
Mostafa Kiani, Nabi Chegini, Abdolreza Safari, Borzoo Nazari   +3 more
doaj   +1 more source