Results 71 to 80 of about 16,775 (210)
Exponential convergence of multiquadric collocation method: A numerical study [PDF]
, 2009 Recent numerical studies have proved that multiquadric collocation methods can achieve exponential rate of convergence for elliptic problems. Although some investigations have been performed for time dependent problems, the influence of the shape ...
JOSE ANTONIO MUÑOZ GOMEZ +1 more
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Известия высших учебных заведений. Поволжский регион: Физико-математические наукиBackground. The study of electromagnetic wave diffraction on complex objects is an urgent task of modern electrodynamics. Such research is in important in various practical fields, such as nanoelectronics, photonics, and optics.
Yuriy G. Smirnov, Oleg V. Kondyrev
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Journal of King Saud University: Engineering Sciences, 2009 The author (1992) developed a spline collocation method that was successfully applied to continuous systems described by differential equations. It is based on selecting the spline point such that the second derivative of the independent variable is zero
Moustafa A. Soliman
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An adaptive RBF finite collocation approach to track transport processes across moving fronts
, 2016 © 2015 Elsevier Ltd. We develop a radial basis function finite collocation method (RBF-FC) that utilises an adaptive quadtree dataset to cluster nodes around critical features in the domain, for the solution of transport processes occurring in moving ...
Jackson, Samuel +3 more
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A Collocation Method for Solving Fractional Order Linear System [PDF]
, 2017 In this paper we propose the collocation method to achieve the numerical solution of fractional order linearsystems where a Fractional Derivative is defined in the Caputo sense.We use Taylor collocation method,which is based on collocation method for ...
Refahi Sheikhani, Amir Hosein +3 more
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International Journal of Mathematics for IndustryThe space-fractional diffusion equation is extensively used to model various issues in engineering and mathematics. This paper addresses the numerical approximation of the space-fractional-order diffusion equation, using a fractional operator in the ...
Minilik Ayalew +2 more
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A collocation method for solving integral equations [PDF]
International Journal of Computing Science and Mathematics, 2009 A collocation method is formulated and justified for numerical solution of the Fredholm second-kind integral equations. As an application the Lippmann-Schwinger equation is considered. The results obtained provide an error estimate and a justification of the limiting procedure used in the earlier papers by the author, dealing with many-body scattering ...
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A Crank–Nicolson collocation spectral method for the two-dimensional telegraph equations
Journal of Inequalities and Applications, 2018 In this paper, we mainly focus to study the Crank–Nicolson collocation spectral method for two-dimensional (2D) telegraph equations. For this purpose, we first establish a Crank–Nicolson collocation spectral model based on the Chebyshev polynomials for ...
Yanjie Zhou, Zhendong Luo
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A Fully-Discrete Trigonometric Collocation Method
Journal of Integral Equations and Applications, 1993 The rough contents of this very important paper are as follows: introduction, discrete collocation with trigonometric polynomials, error analysis, the logarithmic-kernel integral equation, appendix: technical lemmas and references. The authors, which are really active researchers in the boundary element method, refine their previous results about ...
McLean, W. +2 more
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, 2018 In this article, we propose an efficient approach for inverting computationally expensive cumulative distribution functions. A collocation method, called the Stochastic Collocation Monte Carlo sampler (SCMC sampler), within a polynomial chaos expansion ...
Witteveen, Jeroen +3 more
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