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Tip-Enhanced Raman Images of Realistic Systems through Ab Initio Modeling. [PDF]
Brezina K, Litman Y, Rossi M.
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Linking critical temperature with electron localization for cavity-enhanced superconductivity. [PDF]
Nourmofidi O +3 more
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Equivalent Refractive Index Modeling and Multidomain Characterization of the Temperature Response of Loss in Fiber-Optic Macro-Bends. [PDF]
Shen H, Yang D, Han H, Liu J.
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Polynomial Approximation on Touching Domains in the Complex Plane
Computational Methods and Function Theory, 2015For \(\alpha>0\), consider the ``analytic continuation'' \(f_{\alpha}\) of \(|z|^{\alpha}\) defined by \[ f_{\alpha}(z)=\begin{cases} z^{\alpha}&\text{if }\text{Re}(z)>0,\\ (-z)^{\alpha} &\text{if }\text{Re}(z)
Vladimir Andrievskii
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Pointwise Copositive Polynomial Approximation on Arcs in the Complex Plane
Computational Methods and Function Theory, 2013The author considers a real-valued function \(f\) which is continuous on a Jordan arc in the complex plane. The paper is devoted to the construction of a sequence of harmonic polynomials copositive with \(f\), while \(f\) changes sign finitely many times, that provides an approximation of \(f\) under additional assumptions of smoothness of the arc in ...
Vladimir V Andrievskii
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Focal approximation on the complex plane
Computational Mathematics and Mathematical Physics, 2011Summary: The problem of analytic approximation of a smooth closed curve specified by a set of its points on the complex plane is proposed. An algorithmic method for constructing an approximating lemniscate is proposed and investigated. This method is based on a mapping of the curve to be approximated onto the phase circle; the convergence of the method
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