Results 31 to 40 of about 3,955 (267)
An efficient quadrature rule on the Cubed Sphere
Journal of Computational and Applied Mathematics, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Brice Portelenelle +1 more
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Modified Representations for the Close Evaluation Problem
Mathematical and Computational Applications, 2021 When using boundary integral equation methods, we represent solutions of a linear partial differential equation as layer potentials. It is well-known that the approximation of layer potentials using quadrature rules suffer from poor resolution when ...
Camille Carvalho
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MathematicsGaussian quadrature rules are commonly used to approximate integrals with respect to a non-negative measure dσ^. It is important to be able to estimate the quadrature error in the Gaussian rule used.
Dušan Lj. Djukić +5 more
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A Sharp Bound of the Čebyšev Functional for the Riemann-Stieltjes Integral and Applications
Journal of Inequalities and Applications, 2008 A new sharp bound of the Čebyšev functional for the Riemann-Stieltjes integral is obtained. Applications for quadrature rules including the trapezoid and midpoint rules are given.
S. S. Dragomir
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A Survey of Interlayer Interaction Models for Graphene and Other 2D Materials
Advanced Materials Interfaces, EarlyView.Van der Waals interactions arising from electronic polarization at atomically close interfaces generate corrugated interlayer energy landscapes that govern normal and tangential tractions. This review presents an overview of quantum, atomistic, analytical, and continuum modeling approaches, highlighting their roles across length scales in capturing ...
Gourav Yadav +2 more
wiley +1 more source
Baudhāyana's rule for the quadrature of the circle
Historia Mathematica, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Advanced Science, EarlyView.A metasurface‐enabled ultrasonic platform achieves precise multi‐focal control through biological barriers, real‐time physiology‐driven modulation, and simultaneous wireless power and data transmission. By unifying wavefront engineering, closed‐loop feedback, and acoustic communication, this work establishes key enabling technologies toward scalable ...
Chuanxin Zhang +3 more
wiley +1 more source
Journal of Complexity, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Optical Windows for Transcranial Brain Imaging in Living Mice: Skull Thinning, Clearing, and Beyond
Advanced Science, EarlyView.Longitudinal, noninvasive in vivo imaging is crucial for studying brain physiology. Advances in transcranial optical windows and multiphoton microscopy have improved imaging depth, but their performance often deteriorates over time. This work investigated various transcranial window approaches and found that skull regrowth limits image quality.
Yiming Fu +5 more
wiley +1 more source
On Corrected Quadrature Rules and Optimal Error Bounds
Abstract and Applied Analysis, 2015 We present an analysis of corrected quadrature rules based on the method of undetermined coefficients and its associated degree of accuracy. The correcting terms use weighted values of the first derivative of the function at the endpoint of the ...
François Dubeau
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