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Reproducing Kernel Kreĭn Spaces [PDF]

open access: yes, 2014
This chapter is an introduction to reproducing kernel Kre?in spaces and their interplay with operator valued Hermitian kernels. Existence and uniqueness properties are carefully reviewed. The approach used in this survey involves the more abstract, but very useful, concept of linearization or Kolmogorov decomposition, as well as the underlying concepts
openaire   +4 more sources

Decellularized Extracellular Matrix Scaffolds to Engineer the Dormant Landscape of Microscopic Colorectal Cancer Liver Metastasis

open access: yesAdvanced Healthcare Materials, EarlyView.
Decellularized liver extracellular matrix scaffolds provide a platform to study dormant liver‐metastatic colorectal cancer. They induce reversible dormancy, in combination with nutrient depletion and low dose chemotherapy, through cell cycle arrest and chemotherapy resistance.
Sabrina N. VandenHeuvel   +13 more
wiley   +1 more source

A New Application of the Reproducing Kernel Hilbert Space Method to Solve MHD Jeffery-Hamel Flows Problem in Nonparallel Walls

open access: yesAbstract and Applied Analysis, 2013
The present paper emphasizes Jeffery-Hamel flow: fluid flow between two rigid plane walls, where the angle between them is 2α. A new method called the reproducing kernel Hilbert space method (RKHSM) is briefly introduced.
Mustafa Inc   +2 more
doaj   +1 more source

New Numerical Method for Solving Tenth Order Boundary Value Problems

open access: yesMathematics, 2018
In this paper, we implement reproducing kernel Hilbert space method to tenth order boundary value problems. These problems are important for mathematicians. Different techniques were applied to get approximate solutions of such problems.
Ali Akgül   +3 more
doaj   +1 more source

State‐of‐the‐Art, Insights, and Perspectives for MOFs‐Nanocomposites and MOF‐Derived (Nano)Materials

open access: yesAdvanced Materials, EarlyView.
Different approaches to MOF‐NP composite formation, such as ship‐in‐a‐bottle, bottle‐around‐the‐ship and in situ one‐step synthesis, are used. Owing to synergistic effects, the advantageous features of the components of the composites are beneficially combined, and their individual drawbacks are mitigated.
Stefanos Mourdikoudis   +6 more
wiley   +1 more source

Numerical Algorithm for the Third-Order Partial Differential Equation with Three-Point Boundary Value Problem

open access: yesAbstract and Applied Analysis, 2014
A numerical method based on the reproducing kernel theorem is presented for the numerical solution of a three-point boundary value problem with an integral condition.
Jing Niu, Ping Li
doaj   +1 more source

Numerical solution of potential problems using radial basis reproducing kernel particle method

open access: yesResults in Physics, 2019
The paper presents the radial basis reproducing kernel particle method (RRKPM) for potential problems. The proposed RRKPM can eliminate the negative effect of different reproducing kernel functions (RKF) on computational stability and accuracy.
Hongfen Gao, Gaofeng Wei
doaj   +1 more source

Lepskii Principle in Supervised Learning

open access: yes, 2019
In the setting of supervised learning using reproducing kernel methods, we propose a data-dependent regularization parameter selection rule that is adaptive to the unknown regularity of the target function and is optimal both for the least-square ...
Blanchard, Gilles   +2 more
core  

Van Der Waals Hybrid Integration of 2D Semimetals for Broadband Photodetection

open access: yesAdvanced Materials, EarlyView.
Advanced broadband photodetector technologies are essential for military and civilian applications. 2D semimetals, with their gapless band structures, high mobility, and topological protection, offer great promise for broadband PDs. This study reviews the latest advancements in broadband PDs utilizing heterostructures that combine 2D semimetals with ...
Xue Li   +9 more
wiley   +1 more source

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