Results 81 to 90 of about 3,430 (271)
Advanced Physics Research, EarlyView.The defect diamond‐like material Hg3P2S8 (HPS) is systematically investigated using first‐principles methods to reveal the interplay between highly distorted HgS4 and rigid PS4 units. The HPS material exhibits a strong anisotropic second‐harmonic generation (SHG) response, favorable optical properties, and low thermal conductivity, highlighting its ...
Saravana Karthikeyan SKS +4 more
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A numerical method for the solution of plane crack problems in finite media
International Journal of Mathematics and Mathematical Sciences, 1980 A general method for the solution of plane isotropic elasticity crack problems inside a finite medium of arbitrary shape or an infinite medium with holes of arbitrary shape is presented.
P. S. Theocaris, N. Ioakimidis
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The Euler Maclaurin expansion for the Cauchy Principal Value integral
Numerische Mathematik, 1985 Let \(Q^{(m)}f\) be the m-copy of the quadrature rule approximation Qf or \(Q^{(1)}f\) to the finite integral If having integrand f and interval [a,b]. For most rules Q and integrand functions f, \(Q^{(m)}f\) converges to If as m becomes infinite. For some Q and f, asymptotic expansions in m exist for the error functional \(Q^{(m)}f\)-If. The classical
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Extrapolation Method for Cauchy Principal Value Integral with Classical Rectangle Rule on Interval [PDF]
, 2018 In this paper, the classical composite middle rectangle rule for the computation of Cauchy principal value integral (the singular kernel 1/(x-s)) is discussed.
Jin Li, Maohui Xia
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Advanced Physics Research, EarlyView.This study employs density functional theory (DFT) to investigate the structural, mechanical, electronic, optical, and thermodynamic properties of RbGaO2 and CsGaO2. The calculated band structures and band‐edge positions indicate semiconducting behavior and favorable alignment for photocatalytic dye degradation and hydrogen evolution, highlighting ...
Md. Zuel Rana +9 more
wiley +1 more source
An asymptotic expansion for product integration applied to Cauchy principal value integrals [PDF]
, 1975 Product integration methods for Cauchy principal value integrals based on piecewise Lagrangian interpolation are studied. It is shown that for this class of quadrature methods the truncation error has an asymptotic expansion in integer powers of the step-
Wesseling, P., Wesseling, P. (author)
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Evolutionary morphology of the haplorhine hamate
The Anatomical Record, EarlyView.Abstract Primates adopt a variety of hand postures during an impressive diversity of locomotor and manipulative behaviors. Morphological research has found that elements of the hand skeleton, such as the hamate, hold key information for inferring hand use and locomotor kinematics in extinct species.
Laura E. Hunter +4 more
wiley +1 more source
Asymptotic properties of cross‐classified sampling designs
Canadian Journal of Statistics, EarlyView.Abstract We investigate the family of cross‐classified sampling designs across an arbitrary number of dimensions. We introduce a variance decomposition that enables the derivation of general asymptotic properties for these designs and the development of straightforward and asymptotically unbiased variance estimators.
Jean Rubin, Guillaume Chauvet
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Quadrature formulae for Cauchy principal value integrals of oscillatory kind [PDF]
Mathematics of Computation, 1987 The problem considered is that of evaluating numerically an integral of the form f
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A definiteness criterion for linear functionals and its application to Cauchy principal value quadrature [PDF]
, 1996 Let G be a linear functional on Ak[−1, 1] (the class of all functions with an absolutely continuous (k − 1)th derivative), let ξ ∈ R and let G[ξ] be given by G[ξ][ƒ]: = G[(· − ξ)ƒ].
Diethelm, Kai
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