On some extremalities in the approximate integration
, 2010 Some extremalities for quadrature operators are proved for convex functions of higher order. Such results are known in the numerical analysis, however they are often proved under suitable differentiability assumptions. In our considerations we do not use
Wasowicz, Szymon
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Entanglement of bosonic modes of nonplanar molecules
, 2009 Entanglement of bosonic modes of material oscillators is studied in the context of two bilinearly coupled, nonlinear oscillators. These oscillators are realizable in the vibrational-cum-bending motions of C-H bonds in dihalomethanes.
Agarwal G S +13 more
core +2 more sources
Hydrodynamic Flows on Curved Surfaces: Spectral Numerical Methods for Radial Manifold Shapes
, 2018 We formulate hydrodynamic equations and spectrally accurate numerical methods for investigating the role of geometry in flows within two-dimensional fluid interfaces.
Atzberger, Paul J., Gross, Ben J.
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Critical Poles and Third-Order Nonlinear Differential Equations
MathematicsThe paper deals with the results of a study of a third-order nonlinear differential equation with moving singular points and critical poles. So far, this type of equation cannot be solved in quadratures.
Victor Orlov
doaj +1 more source
Gaussian Quadratures vs. Monte Carlo Experiments for Systematic Sensitivity Analysis of Computable General Equilibrium Model Results [PDF]
, 2017 Citation: Villoria, N. B., & Preckel, P. V. (2017). Gaussian Quadratures vs. Monte Carlo Experiments for Systematic Sensitivity Analysis of Computable General Equilibrium Model Results. Economics Bulletin, 37(1), 480-+.
Preckel, Paul V., Villoria, Nelson B.
core
Real‐Time 3D Ultrasound Imaging with an Ultra‐Sparse, Low Power Architecture
Advanced Healthcare Materials, EarlyView.This article presents a novel, ultra‐sparse ultrasound architecture that paves the way for wearable real‐time 3D imaging. By integrating a unique convolutional array with chirped data acquisition, the system achieves high‐resolution volumetric scans at a fraction of the power and hardware complexity.
Colin Marcus +9 more
wiley +1 more source
Roundoff errors in the problem of computing Cauchy principal value integrals
, 2015 We investigate the possibility of fast, accurate and reliable computation of the Cauchy principal value integrals $\mathrm{P}\!\int_{a}^{b} f(x)(x-\tau)^{-1} dx$ $(a < \tau < b)$ using standard adaptive quadratures. In order to properly control the error
Keller, Paweł, Wróbel, Iwona
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Stroboscopic high-order nonlinearity for quantum optomechanics
, 2021 High-order quantum nonlinearity is an important prerequisite for the advanced quantum technology leading to universal quantum processing with large information capacity of continuous variables.
Filip, Radim, Rakhubovsky, Andrey A.
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Metamaterial Antennas Enhance MRI of the Eye and Occipital Brain
Advanced Materials, EarlyView.A radiofrequency antenna platform comprising planar and bend configurations is developed, incorporating structurally integrated epsilon‐negative metamaterial unit cells to enhance MRI. These antennas enable high‐resolution in vivo human MRI of the eye, orbit, and occipital brain. Comprehensive validation, including simulations, phantom experiments, SAR,
Nandita Saha +14 more
wiley +1 more source
Unconditional quantum cloning of coherent states with linear optics
, 2005 A scheme for optimal Gaussian cloning of optical coherent states is proposed and experimentally demonstrated. Its optical realization is based entirely on simple linear optical elements and homodyne detection.
E. Arthur +3 more
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