Results 51 to 60 of about 1,276,641 (352)

A Novel Method for Solving KdV Equation Based on Reproducing Kernel Hilbert Space Method

Abstract and Applied Analysis, 2013
We propose a reproducing kernel method for solving the KdV equation with initial condition based on the reproducing kernel theory. The exact solution is represented in the form of series in the reproducing kernel Hilbert space.
Mustafa Inc, Ali Akgül, Adem Kiliçman
doaj   +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

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

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

3D (Bio) Printing Combined Fiber Fabrication Methods for Tissue Engineering Applications: Possibilities and Limitations

Advanced Functional Materials, EarlyView.
Biofabrication aims at providing innovative technologies and tools for the fabrication of tissue‐like constructs for tissue engineering and regenerative medicine applications. By integrating multiple biofabrication technologies, such as 3D (bio) printing with fiber fabrication methods, it would be more realistic to reconstruct native tissue's ...
Waseem Kitana, Indra Apsite, Leonid Ionov   +2 more
wiley   +1 more source

Micropatterned Biphasic Printed Electrodes for High‐Fidelity on‐Skin Bioelectronics

Advanced Functional Materials, EarlyView.
Micropatterned biphasic printed electrodes achieve unprecedented skin conformity and low impedance by combining liquid‐metal droplets with microstructured 3D lattices. This scalable approach enables high‐fidelity detection of ECG, EMG, and EEG signals, including alpha rhythms from the forehead, with long‐term comfort and stability.
Manuel Reis Carneiro, Telmo Lopes, André F. Silva, Carmel Majidi, Mahmoud Tavakoli   +4 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

Duality by reproducing kernels [PDF]

International Journal of Mathematics and Mathematical Sciences, 2003
Let A be a determined or overdetermined elliptic differential operator on a smooth compact manifold X. Write 𝒮A(𝒟) for the space of solutions of the system Au = 0 in a domain 𝒟⋐X. Using reproducing kernels related to various Hilbert structures on subspaces of 𝒮A(𝒟), we show explicit identifications of the dual spaces.
Shlapunov, Alexander, Tarkhanov, Nikolai Nikolaevich   +1 more
openaire   +3 more sources

Understanding Decoherence of the Boron Vacancy Center in Hexagonal Boron Nitride

Advanced Functional Materials, EarlyView.
State‐of‐the‐art computations unravel the intricate decoherence dynamics of the boron vacancy center in hexagonal boron nitride across magnetic fields from 0 to 3 T. Five distinct regimes emerge, dominated by nuclear spin interactions, revealing optimal coherence times of 1–20 µs in the 180–350 mT range for isotopically pure samples.
András Tárkányi, Viktor Ivády
wiley   +1 more source