Quantitative Uniform Approximation by Activated Singular Operators
MathematicsIn this article, we study the approximation properties of activated singular integral operators over the real line. We establish their convergence to the unit operator with rates. The kernels here derive from neural network activation functions and their
George A. Anastassiou
doaj +1 more source
Evaluating singular and near-singular integrals on $C^2$ smooth surfaces with a novel geometric method and closed form expressions [PDF]
arXivMost Fredholm integral equations involve integrals with weakly singular kernels. Once the domain of integration is discretized into elements, these weakly singular kernels become strongly singular or ``near-singular". Common methods to compute these integrals when the kernel is a Green's function include the Duffy transform, polar coordinates with ...
arxiv
Systems of Singular Integral Operators on Spheres [PDF]
, 1969 Daniel A. Levine
openalex +1 more source
Hybrid Framework Materials: Next‐Generation Engineering Materials
Advanced Engineering Materials, Volume 27, Issue 9, May 2025.Hybrid organic–inorganic materials merge the unique properties of organic and inorganic compounds, enabling applications in optoelectronics, gas storage, and catalysis. This review explores metal‐organic frameworks, hybrid organic–inorganic perovskites, and the emerging field of hybrid glasses, emphasizing their structures, functionalities, and ...
Jay McCarron +2 more
wiley +1 more source
Two-dimensional acoustic analysis using Taylor expansion-based boundary element method
Frontiers in PhysicsThe use of boundary elements in two-dimensional acoustic analysis is presented in this study, along with a detailed explanation of how to derive the final discrete equations from the fundamental fluctuation equations.
Yan Yang +5 more
doaj +1 more source
On the approximation of functions by some singular integrals [PDF]
, 1966 Yoshio Matsuoka
openalex +1 more source
Advanced Engineering Materials, Volume 27, Issue 9, May 2025.Multiple plasma surface treatments improved the Mode I fracture energy of metal‐carbon‐fiber‐reinforced thermoplastic polymer (CFRTP) joints by ≈240% compared to single treatments and nearly 2000% over untreated joints. This significant enhancement, achieved without modifying CFRTP surface roughness, is attributed to improved chemical bonding at the ...
Angela A. Lee +4 more
wiley +1 more source
Recent Progress on 2D‐Material‐Based Smart Textiles: Materials, Methods, and Multifunctionality
Advanced Engineering Materials, EarlyView.Advancements in 2D‐material‐integrated smart textiles are reviewed, with a focus on materials, fabrication methods, and multifunctional applications, including energy harvesting, monitoring, EMI shielding, energy storage, and thermal management. The discussion addresses key challenges and provides insights into the future development of next‐generation
Yong Choi +5 more
wiley +1 more source
Lipschitz estimates for commutators of singular integral operators associated with the sections. [PDF]
J Inequal Appl, 2017 Wang G, Zhou J.
europepmc +1 more source
Scalable Fabrication of Height‐Variable Microstructures with a Revised Wetting Model
Advanced Engineering Materials, EarlyView.Height‐variable microstructures are fabricated using a scalable CO2 laser machining approach, enabling precise control of wettability through structural gradients. Classical wetting models fail to capture height‐induced effects, necessitating a revised theoretical framework.
Prabuddha De Saram +2 more
wiley +1 more source