Results 51 to 60 of about 547,687 (323)

Interpolation-based reproducing kernel particle method

Computer Methods in Applied Mechanics and Engineering
Meshfree methods, including the reproducing kernel particle method (RKPM), have been widely used within the computational mechanics community to model physical phenomena in materials undergoing large deformations or extreme topology changes. RKPM shape functions and their derivatives cannot be accurately integrated with the Gauss-quadrature methods ...
Jennifer E. Fromm, John A. Evans, Jiun-Shyan Chen   +2 more
openaire   +2 more sources

UiO‐66 metal–organic frameworks in biomedicine: From structural tunability to bioimaging, photodiagnostics, and photodynamic cancer therapy

FEBS Open Bio, EarlyView.
UiO‐66(Zr) metal–organic frameworks are chemically stable, biocompatible, and highly tunable nanomaterials. Their modular structure enables controlled drug delivery, multimodal bioimaging, and light‐activated photodynamic therapy, supporting integrated diagnostic and therapeutic (theranostic) applications in cancer and biomedical research.
Veronika Huntošová, Grigorii Rakhalskii, Miroslav Almáši   +2 more
wiley   +1 more source

Simplified reproducing kernel method and convergence order for linear Volterra integral equations with variable coefficients

Journal of Computational and Applied Mathematics, 2019
This paper proposes a simplified reproducing kernel method to solve the linear Volterra integral equations with variable coefficients. The main idea of the method is to establish a reproducing kernel direct space that can be used in Volterra integral ...
Liangcai Mei, Yingzhen Lin
semanticscholar   +1 more source

Characterization of Defect Distribution in an Additively Manufactured AlSi10Mg as a Function of Processing Parameters and Correlations with Extreme Value Statistics

Advanced Engineering Materials, EarlyView.
Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt, Varma Kvvssn, Hossein Laieghi, Zia Uddin, Peyman Ansari, E. Kıvanç Sadak, Can Barış Toprak, Hüseyin Kızıl, Enrico Salvati   +8 more
wiley   +1 more source

Analytic Kramer kernels, Lagrange-type interpolation series and de Branges spaces

, 2011
The classical Kramer sampling theorem provides a method for obtaining orthogonal sampling formulas. In particular, when the involved kernel is analytic in the sampling parameter it can be stated in an abstract setting of reproducing kernel Hilbert spaces
Hernández-Medina, Miguel A., Miguel A. Hernández-Medina, Antonio G. García, Franciszek Hugon Szafraniec, Hugon Szafraniec, Franciszek, García, Antonio G., Hernández Medina, Miguel Ángel, Szafraniec, Franciszek   +7 more
core   +1 more source

Multimodal Data‐Driven Microstructure Characterization

Advanced Engineering Materials, EarlyView.
A self‐consistent autonomous workflow for EBSP‐based microstructure segmentation by integrating PCA, GMM clustering, and cNMF with information‐theoretic parameter selection, requiring no user input. An optimal ROI size related to characteristic grain size is identified.
Qi Zhang, Santiago Benito, Özge Özgün, Sebastian Weber, Markus Stricker   +4 more
wiley   +1 more source

Approximate solution of nonlinear multi-point boundary value problem on the half-line

Mathematical Modelling and Analysis, 2012
In this work, we construct a novel weighted reproducing kernel space and give the expression of reproducing kernel function skillfully. Based on the orthogonal basis established in the reproducing kernel space, an efficient algorithm is provided to solve
Jing Niu, Ying Zhen Lin, Chi Ping Zhang
doaj   +1 more source

Detecting Inverse Boundaries by Weighted High-Order Gradient Collocation Method

Mathematics, 2020
The weighted reproducing kernel collocation method exhibits high accuracy and efficiency in solving inverse problems as compared with traditional mesh-based methods.
Judy P. Yang, Hon Fung Samuel Lam
doaj   +1 more source

A computational method for solving weakly singular Fredholm integral equation in reproducing kernel spaces [PDF]

Iranian Journal of Numerical Analysis and Optimization, 2018
In the present paper, we propose a method to solve a class of weakly singular Fredholm integral equations of the second kind in reproducing kernel spaces.
D. Hamedzadeh, E. Babolian
doaj   +1 more source

A novel method for fractal-fractional differential equations

Alexandria Engineering Journal, 2022
We consider the reproducing kernel Hilbert space method to construct numerical solutions for some basic fractional ordinary differential equations (FODEs) under fractal fractional derivative with the generalized Mittag–Leffler (M-L) kernel.
Nourhane Attia, Ali Akgül, Djamila Seba, Abdelkader Nour, Jihad Asad   +4 more
doaj   +1 more source