Results 101 to 110 of about 1,686 (292)

Approximate solution to weakly singular integral equations

Applied Mathematical Modelling, 1996
The paper deals with the elaboration of a computational method for obtaining approximate solutions of the singular Fredholm integral equation \[ \int_\Gamma f(x_1)\ln \frac{1}{|x_1-x_2|} d\Gamma= G(x_2),\qquad x_2\in\Gamma, \] where \(\Gamma\) is a smooth simple open curve in \(E^2\), \(G(x_2)\) is a given function.
openaire   +2 more sources

Extraordinary n‐type Tellurium‐Free Thermoelectric Performance of Y‐Doped BiSe via Synergistic Effect of Vacancies and Band Engineering

Advanced Functional Materials, EarlyView.
Yttrium doping in Sb‐alloyed BiSe synergistically induces Bi vacancies and flattens conduction bands, simultaneously slashing lattice thermal conductivity by 50% and boosting the power factor. The optimized n‐type Bi0.64Sb0.3Y0.06Se delivers a peak zT of 0.91 at 393 K (average zT 0.76, 300–523 K) and an 8‐pair module with 4.6% conversion efficiency ...
Wenhao Xie, Fang Lyu, Xiaolong Sun, Chang Li, Xiaolu Zhu, Liangwei Hu, Qianfeng Ding, Wenjie Zhou, Muyang Huang, Yineng Gou, Yi Zhao, Han Tang, Wei Cao, Yue Hou, Yun Zheng, Ady Suwardi, Ziyu Wang   +16 more
wiley   +1 more source

Mechanistic Control of C─H Bond Activation and C─C Coupling in Light‐Driven Methane Conversion to C2+ Products over Multifunctional Photocatalysts

Advanced Functional Materials, EarlyView.
Methane photocatalytic activation under mild conditions remains a formidable challenge in the synthesis of solar fuels. In this review, we emphasize the growing importance of multifunctional materials and hybrid systems within a unified mechanistic framework that integrates selective C─H bond activation, formation and control of intermediates, C─C ...
Di Hu, Yuheng Jiang, Vitaly V. Ordomsky, Bastian Mei, Zhiyong Tang, Andrei Y. Khodakov   +5 more
wiley   +1 more source

Numerical solvability of a class of Volterra-Hammerstein integral equations with noncompact kernels

Journal of Applied Mathematics, 2005
We study the numerical solvability of a class of nonlinear weakly singular integral equations of Volterra-Hammerstein type with noncompact kernels. We obtain existence and uniqueness results and analyze the product integration methods for these equations
M. Hadizadeh, M. Mohamadsohi
doaj   +1 more source

Nanoscale Spatial Tuning of Superconductivity in Cuprate Thin Films via Direct Laser Writing

Advanced Functional Materials, EarlyView.
Maskless direct laser writing enables local control of oxygen stoichiometry in epitaxial YBCO thin films under ambient conditions. Sub‐micrometer grayscale patterns with tunable optical response and superconducting transport properties are achieved.
Irene Biancardi, Valerio Levati, Jordi Alcalà, Thomas Günkel, Nicolas Lejeune, Riccardo Girelli, Alejandro V. Silhanek, Valeria Russo, Narcís Mestres, Daniela Petti, Anna Palau, Edoardo Albisetti   +11 more
wiley   +1 more source

A note on the convergence of product integration and Galerkin method for weakly singular integral equations [PDF]

, 1997
We consider weakly singular integral equations of Fredholm-type whose kernels satisfy certain algebraic estimates with their derivatives. In particular, we establish optimal convergence order estimates for product integration and Galerkin method applied ...
Baratella, Paola
core   +1 more source

ON THE INFINITE FIELD OF A CLASS OF WEAKLY SINGULAR INTEGRAL EQUATIONS

Far East Journal of Dynamical Systems, 2022
Herdman, Terry, Chiang, Shihchung
openaire   +1 more source

Halide Perovskite Integrated Photovoltaic Cathodes Incorporating Pt on ZIF‐8‐Derived Carbon for Solar Hydrogen Production

Advanced Functional Materials, EarlyView.
A low‐Pt catalyst supported on zeolitic imidazolate framework (ZIF‐8)‐derived porous carbon and graphite is integrated with a halide perovskite photovoltaic, yielding cathodes that achieve a high photocurrent density (∼20 mA cm−2) under simulated sunlight and exhibit remarkable stability in acidic media over several days, thereby demonstrating a ...
Na Yeong Oh, Woo Jin Mun, Kamran Dastafkan, Matyas Daboczi, Hongki Kim, Humza Bhatti, Eunyoung Hong, Minzhi Chen, Yongqi Huang, Jin Hyuk Kim, Nicola Gasparini, Jong Hak Kim, Salvador Eslava   +12 more
wiley   +1 more source

Si‐Doped Nanocrystalline Diamond as Highly Sensitive Luminescence Thermometer for the Physiological Temperature Range

Advanced Functional Materials, EarlyView.
In this work, diamonds with negative charged silicon‐vacancy (SiV−) centers have been designed for use as thermometers in biomedical applications. Multiparametric analysis of the emission characteristics of the SiV− centers provides extraordinary sensitivity for temperature detection in the physiological temperature range.
María Gragera, Iván Carrillo‐Berdugo, Josue Millán, Paulius Pobedinskas, Antonio Freire, Ken Haenen, Javier Navas   +6 more
wiley   +1 more source

Quasi‐interpolation by splines on the uniform knot sets

Mathematical Modelling and Analysis, 2007
In the case of uniform grids, the error of the spline interpolant of a function defined on R has been well estimated. On the basis of the spline interpolation formula for functions defined on R we derive quasi‐interpolation formulae for functions defined
Evely Leetma
doaj   +1 more source