Results 31 to 40 of about 70,750 (232)
Abstract and Applied Analysis, 2013 This paper introduces the stability and convergence of two-step Runge-Kutta methods with compound quadrature formula for solving nonlinear Volterra delay integro-differential equations.
Haiyan Yuan, Cheng Song
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Estimates of the error of interval quadrature formulas on some classes of differentiable functions
Researches in Mathematics, 2020 The exact value of error of interval quadrature formulas $$\int_0^{2\pi}f(t)dt -\frac{\pi}{nh}\sum_{k=0}^{n-1}\int_{-h}^hf(t+\frac {2k\pi}{n})dt = R_n(f;\vec{c_0};\vec{x_0};h)$$ obtained for the classes $W^rH^{\omega} (r=1,2,...)$ of differentiable ...
V.P. Motornyi, D.A. Ovsyannikov
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Elementary test for non-classicality based on measurements of position and momentum
, 2015 We generalise a non-classicality test described by Kot et al. [Phys. Rev. Lett. 108, 233601 (2010)], which can be used to rule out any classical description of a physical system.
Borregaard, Johannes +2 more
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XOR‐Logic Phase Coding Programmable Metasurface for Low Power‐Consumption Systems
Advanced Science, EarlyView.By leveraging XOR logic, the biasing‐network complexity of 2D programmable metasurfaces is reduced from m×n to m+n through efficient row‐column control. This enables versatile functions including beam deflection and beamforming, facilitating applications in wireless communications and beyond.
Ruichao Zhu +10 more
wiley +1 more source
Explicit error bound for modified numerical iterated integration by means of Sinc methods
, 2015 This paper reinforces numerical iterated integration developed by Muhammad--Mori in the following two points: 1) the approximation formula is modified so that it can achieve a better convergence rate in more general cases, and 2) explicit error bound is ...
Okayama, Tomoaki
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Advanced Intelligent Systems, EarlyView.This review explores the transformative impact of artificial intelligence on multiscale modeling in materials research. It highlights advancements such as machine learning force fields and graph neural networks, which enhance predictive capabilities while reducing computational costs in various applications.
Artem Maevskiy +2 more
wiley +1 more source
Thermal noise and oscillations of photon distribution for squeezed and correlated light
, 1993 The oscillations of photon distribution function for squeezed and correlated light are shown to decrease when the temperature increases.The influence of the squeezing parameter and photon quadrature correlation coefficient on the photon distribution ...
Caves +17 more
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Journal of Approximation Theory, 1984 Quadrature formulae for splines with equispaced knots are developed in this paper. For special classes of splines, some simple explicit expressions for the weights in the quadrature formulae in terms of the zeros of the Euler-Frobenius polynomials are given and it is shown that these weights are positive. Some quadrature formulae are derived.
Busenberg, Stavros N, Fisher, David
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Self‐Similar Blowup for the Cubic Schrödinger Equation
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We give a rigorous proof for the existence of a finite‐energy, self‐similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer‐assisted and relies on a fixed point argument that shows the existence of a solution in the vicinity of a numerically constructed approximation.
Roland Donninger, Birgit Schörkhuber
wiley +1 more source
Journal of Inequalities and Applications, 2000 We consider quadrature formulae for Cauchy principal value integrals The quadrature formulae considered here are so-called modified formulae, which are obtained by first subtracting the singularity, and then applying some standard quadrature formula ...
Diethelm Kai, Köhler Peter
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