Results 21 to 30 of about 625,960 (181)
Galerkin--Chebyshev approximation of Gaussian random fields on compact Riemannian manifolds [PDF]
, 2022 A new numerical approximation method for a class of Gaussian random fields on compact connected oriented Riemannian manifolds is introduced. This class of random fields is characterized by the Laplace--Beltrami operator on the manifold.
Pereira, Mike +3 more
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Abstract and Applied Analysis, 2013 We extend the application of the Galerkin method for treating the multiterm fractional differential equations (FDEs) subject to initial conditions. A new shifted Legendre-Galerkin basis is constructed which satisfies exactly the homogeneous initial ...
A. H. Bhrawy, M. A. Alghamdi
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Efficient approximation of random fields for numerical applications [PDF]
, 2014 This article is dedicated to the rapid computation of separable expansions for the approximation of random fields. We consider approaches based on techniques from the approximation of non-local operators on the one hand and based on the pivoted Cholesky ...
Michael Peters +5 more
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Numerical Solution of the Convective and Diffusive Transport Problems in a Heterogeneous Porous Medium Using Finite Element Method [PDF]
Учёные записки Казанского университета: Серия Физико-математические науки, 2016 The finite element approximation of the convective and diffusive transport equation has been considered. Different methods for stabilization of the finite element approximation have been discussed: upwind approximation of the convective term using ...
M.V. Vasilyeva +2 more
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A New Wavelet Method for Solving a Class of Nonlinear Volterra-Fredholm Integral Equations
Abstract and Applied Analysis, 2014 A new approach, Coiflet-type wavelet Galerkin method, is proposed for numerically solving the Volterra-Fredholm integral equations. Based on the Coiflet-type wavelet approximation scheme, arbitrary nonlinear term of the unknown function in an equation ...
Xiaomin Wang
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015 The discontinuous Galerkin method with discontinuous basic functions which is characterized by a high order of accuracy of the obtained solution is now widely used.
Ruslan V Zhalnin +3 more
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The Improved Element-Free Galerkin Method for 3D Helmholtz Equations
Mathematics, 2021 The improved element-free Galerkin (IEFG) method is proposed in this paper for solving 3D Helmholtz equations. The improved moving least-squares (IMLS) approximation is used to establish the trial function, and the penalty technique is used to enforce ...
Heng Cheng, Miaojuan Peng
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AxiomsIn this study, we investigate the upper- and lower-bound approximations of numerical eigenvalues derived by weak Galerkin spectral element methods on arbitrary convex quadrilateral meshes for the Laplace eigenvalue problem.
Xiaofeng Xu, Jiajia Pan
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Journal of Function Spaces, 2017 We develop a generalized Jacobi-Galerkin method for second kind Volterra integral equations with weakly singular kernels. In this method, we first introduce some known singular nonpolynomial functions in the approximation space of the conventional Jacobi-
Haotao Cai
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Existence and convergence results for the Galerkin approximation of an electronic density functional [PDF]
, 2010 We formulate and analyze a model for the study of finite clusters of atoms or localized defects in infinite crystals based on orbital-free density functional theory.
CHRISTOPH ORTNER +5 more
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