Results 41 to 50 of about 63,273 (275)

Reproducing kernel method for solving wiener-hopf equations of the second kind [PDF]

Journal of Hyperstructures, 2016
This paper proposed a reproducing kernel method for solving Wiener-Hopf equations of the second kind. In order to eliminate the singularity of the equation, a transform is used.
Azizallah Alvandi, Taher Lotf, M. Paripour   +2 more
doaj   +1 more source

Reproducing Kernel Kreĭn Spaces [PDF]

, 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   +3 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

Using an Effective Numerical Method for Solving a Class of Lane-Emden Equations

Abstract and Applied Analysis, 2014
We use the reproducing kernel method to solve the well-known classes of Lane-Emden-type equations. These classes of equations have the form of Lane-Emden problem.
Yulan Wang, Hao Yu, Fugui Tan, Shuguang Li   +3 more
doaj   +1 more source

Combining the reproducing kernel method with Taylor series expansion to solve systems of nonlinear fractional Volterra integro-differential equations [PDF]

Iranian Journal of Numerical Analysis and Optimization
In this article, we present a novel approach for solving systems of nonlinear fractional Volterra integro-differential equations $(NFVI-DEs)$ by reproducing the Hilbert kernel method.
T. Amoozad, S. Abbasbandy, H. Sahihi, T. Allahviranloo   +3 more
doaj   +1 more source

Analysis of unbounded operators and random motion

, 2009
We study infinite weighted graphs with view to \textquotedblleft limits at infinity,\textquotedblright or boundaries at infinity. Examples of such weighted graphs arise in infinite (in practice, that means \textquotedblleft very\textquotedblright large ...
Dunford N., Dutkay D. E., Dutkay D. E., Kolmogoroff A., Palle E. T. Jorgensen, Reed M., Stone M. H.   +6 more
core   +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

Reproducing kernel functions for linear tenth-order boundary value problems

ITM Web of Conferences, 2018
Higher order differential equations have always been an onerous problem to investigate for the mathematicians and engineers. Different numerical methods were applied to get numerical approximations of such problems.
Akgül Ali, Akgül Esra Karatas, Orcan Baris, Inc Mustafa   +3 more
doaj   +1 more source

n-Best kernel approximation in reproducing kernel Hilbert spaces

Applied and Computational Harmonic Analysis, 2022
By making a seminal use of the maximum modulus principle of holomorphic functions we prove existence of $n$-best kernel approximation for a wide class of reproducing kernel Hilbert spaces of holomorphic functions in the unit disc, and for the corresponding class of Bochner type spaces of stochastic processes.
openaire   +2 more sources

Harnessing Fungal Biowelding for Constructing Mycelium‐Engineered Materials

Advanced Engineering Materials, EarlyView.
Mycelium‐bound composites (MBCs) offer low‐carbon alternatives for construction, yet interfacial bonding remains a critical challenge. This review examines fungal biowelding as a biocompatible adhesive, elucidating mycelium‐mediated interfacial mechanisms and their role in material assembly. Strategies to optimize biowelding are discussed, highlighting
Xue Brenda Bai, Xinrui Sarah Niu, Zhao Qin   +2 more
wiley   +1 more source