Results 1 to 10 of about 68,141 (218)
Adaptive Fourier-Galerkin Methods
Mathematics of Computation, 2011 We study the performance of adaptive Fourier-Galerkin methods in a periodic box in $\mathbb{R}^d$ with dimension $d\ge 1$. These methods offer unlimited approximation power only restricted by solution and data regularity.
Canuto, Claudio +2 more
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On Multiscale Methods in Petrov-Galerkin formulation [PDF]
Numerische Mathematik, 2014 In this work we investigate the advantages of multiscale methods in Petrov-Galerkin (PG) formulation in a general framework. The framework is based on a localized orthogonal decomposition of a high dimensional solution space into a low dimensional ...
Elfverson, Daniel +2 more
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Orthonormal Bernstein Galerkin technique for computations of higher order eigenvalue problems
MethodsX, 2023 The numerical approximation of eigenvalues of higher even order boundary value problems has sparked a lot of interest in recent years. However, it is always difficult to deal with higher-order BVPs because of the presence of boundary conditions.
Humaira Farzana +2 more
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Resolving phase transitions with discontinuous Galerkin methods
SciPost Physics Core, 2023 We demonstrate the applicability and advantages of Discontinuous Galerkin (DG) schemes in the context of the Functional Renormalization Group (fRG). We investigate the $O(N)$-model in the large $N$ limit.
Eduardo Grossi, Nicolas Wink
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On Galerkin difference methods [PDF]
Journal of Computational Physics, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jeffrey W. Banks, Thomas M. Hagstrom
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Extensions of the deep Galerkin method
Applied Mathematics and Computation, 2022 We extend the Deep Galerkin Method (DGM) introduced in Sirignano and Spiliopoulos (2018)} to solve a number of partial differential equations (PDEs) that arise in the context of optimal stochastic control and mean field games. First, we consider PDEs where the function is constrained to be positive and integrate to unity, as is the case with Fokker ...
Ali Al-Aradi +4 more
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On the generalized wavelet-Galerkin method [PDF]
Journal of Computational and Applied Mathematics, 2018 In the frame of the traditional wavelet-Galerkin method based on the compactly supported wavelets, it is important to calculate the so-called connection coefficients that are some integrals whose integrands involve products of wavelets, their derivatives as well as some known coefficients in considered differential equations.
Zhaochen Yang, Shijun Liao
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Axioms, 2022 This paper is concerned with numerical solutions to Volterra integro-differential equations with weakly singular kernels. Making use of the transformed fractional Jacobi polynomials, we develop a class of piecewise fractional Galerkin methods for solving
Haiyang Li, Junjie Ma
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Stabilizer-free weak Galerkin methods for monotone quasilinear elliptic PDEs
Results in Applied Mathematics, 2020 In this paper, we study the stabilizer-free weak Galerkin methods on polytopal meshes for a class of second order elliptic boundary value problems of divergence form and with gradient nonlinearity in the principal coefficient. With certain assumptions on
Xiu Ye, Shangyou Zhang, Yunrong Zhu
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Program of electromagnetic modeling antenna arrays HF-range
Физика волновых процессов и радиотехнические системы, 2019 The program of electromagnetic modeling antenna arrays HF-range has been developed to eliminate the shortcomings and limitations of the existing programs of analysis and synthesis of wire antennas. The technique assuming the numerical solution of systems
I.S. Polyanskii +2 more
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