Results 1 to 10 of about 2,893 (187)
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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Steady-State Simulation of Semiconductor Devices Using Discontinuous Galerkin Methods
IEEE Access, 2020 Design of modern nanostructured semiconductor devices often calls for simulation tools capable of modeling arbitrarily-shaped multiscale geometries. In this work, to this end, a discontinuous Galerkin (DG) method-based framework is developed to simulate ...
Liang Chen, Hakan Bagci
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Journal of Harbin University of Science and Technology, 2022 The equivalence between direct flux reconstruction method and discontinuous Galerkin method for solving parabolic equation and convection-diffusion equation is studied.
BI Hui, LIU Lei
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