Results 31 to 40 of about 71,031 (218)

Estimates of the error of interval quadrature formulas on some classes of differentiable functions

open access: yesResearches 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
doaj   +1 more source

Subperiodic trigonometric subsampling: A numerical approach [PDF]

open access: yes, 2017
We show that Gauss-Legendre quadrature applied to trigonometric poly- nomials on subintervals of the period can be competitive with subperiodic trigonometric Gaussian quadrature. For example with intervals correspond- ing to few angular degrees, relevant
Sommariva, Alvise, Vianello, Marco
core   +1 more source

Artificial Intelligence for Multiscale Modeling in Solid‐State Physics and Chemistry: A Comprehensive Review

open access: yesAdvanced 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

Nonlinear Stability and Convergence of Two-Step Runge-Kutta Methods for Volterra Delay Integro-Differential Equations

open access: yesAbstract 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
doaj   +1 more source

Spectral/quadrature duality: Picard-Vessiot theory and finite-gap potentials

open access: yes, 2012
In the framework of differential Galois theory we treat the classical spectral problem $\Psi"-u(x)\Psi=\lambda\Psi$ and its finite-gap potentials as exactly solvable in quadratures by Picard--Vessiot without involving special functions; the ideology goes
Brezhnev, Yurii V.
core   +1 more source

Self‐Similar Blowup for the Cubic Schrödinger Equation

open access: yesCommunications 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

Governance Drivers of Fossil Fuel Divestment: Evidence From Global Banks

open access: yesCorporate Social Responsibility and Environmental Management, EarlyView.
ABSTRACT Climate change poses increasing transition risks for the banking sector, as financial institutions remain exposed to fossil fuel activities despite growing sustainability commitments. This study examines whether corporate governance influences banks' decisions to adopt fossil fuel divestment policies.
Rosella Carè   +3 more
wiley   +1 more source

Elementary test for non-classicality based on measurements of position and momentum

open access: yes, 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
core   +1 more source

Spline quadrature formulas

open access: yesJournal 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
openaire   +1 more source

Robust Control Using a Matrix Converter to Enhance Wind Turbine Systems

open access: yesEnergy Science &Engineering, EarlyView.
This study uses a more efficient and effective solution to improve the operational performance of a wind turbine‐based power system. This system uses a doubly fed induction generator and relies on a matrix converter and fractional‐order proportional–integral controller.
Sihem Ghoudelbourk   +4 more
wiley   +1 more source

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