The Dual Characteristic-Galerkin Method by Hecht, Frédéric, Pironneau, Olivier

“…The Dual Characteristic-Galerkin method (DCGM) is conservative, precise and experimentally positive. …”
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Error Analysis of Galerkin's Method for Semilinear Equations by Tadashi Kawanago

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Perturbed Galerkin Method for Solving Integro-Differential Equations by K. Issa, J. Biazar, T. O. Agboola, T. Aliu

“…In this paper, perturbed Galerkin method is proposed to find numerical solution of an integro-differential equations using fourth kind shifted Chebyshev polynomials as basis functions which transform the integro-differential equation into a system of linear equations. …”
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High-order discontinuous Galerkin methods for the monodomain and bidomain models by Federica Botta, Matteo Calafà, Pasquale C. Africa, Christian Vergara, Paola F. Antonietti

Subjects: “…discontinuous galerkin methods…”
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Modified Sinc-Galerkin Method for Nonlinear Boundary Value Problems by M. A. Hajji, Q. M. Al-Mdallal

“…This paper presents a modified Galerkin method based on sinc basis functions to numerically solve nonlinear boundary value problems. …”
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Existence of Solutions of a Nonlocal Elliptic System via Galerkin Method by Alberto Cabada, Francisco Julio S. A. Corrêa

“…By means of the Galerkin method and by using a suitable version of the Brouwer fixed-point theorem, we establish the existence of at least one positive solution of a nonlocal elliptic N-dimensional system coupled with Dirichlet boundary conditions.…”
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A Discontinuous Galerkin Method for Two-Dimensional Shock Wave Modeling by W. Lai, A. A. Khan

“…A numerical scheme based on discontinuous Galerkin method is proposed for the two-dimensional shallow water flows. …”
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Approximate Solution of Perturbed Volterra-Fredholm Integrodifferential Equations by Chebyshev-Galerkin Method by K. Issa, F. Salehi

“…In this work, we obtain the approximate solution for the integrodifferential equations by adding perturbation terms to the right hand side of integrodifferential equation and then solve the resulting equation using Chebyshev-Galerkin method. Details of the method are presented and some numerical results along with absolute errors are given to clarify the method. …”
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Error Estimates on Hybridizable Discontinuous Galerkin Methods for Parabolic Equations with Nonlinear Coefficients by Minam Moon, Hyung Kyu Jun, Tay Suh

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Vibration Analysis of Thin Plates Resting on Pasternak Foundations by Element free Galerkin Method by Ehsan Bahmyari, Mohammad Mahdi Banatehrani, Mohammad Ahmadi, Marzieh Bahmyari

“…The element free Galerkin method is used to analyze free vibration of thin plates resting on Pasternak elastic foundations with all possible types of classical boundary conditions. …”
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A Pressure-Stabilized Lagrange-Galerkin Method in a Parallel Domain Decomposition System by Qinghe Yao, Qingyong Zhu

“…A pressure-stabilized Lagrange-Galerkin method is implemented in a parallel domain decomposition system in this work, and the new stabilization strategy is proved to be effective for large Reynolds number and Rayleigh number simulations. …”
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The Galerkin Method for Fourth-Order Equation of the Moore–Gibson–Thompson Type with Integral Condition by Ahlem Mesloub, Abderrahmane Zaraï, Fatiha Mesloub, Bahri-Belkacem Cherif, Mohamed Abdalla

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A High Efficiency Discontinuous Galerkin Method for 3D Ground-Penetrating Radar Simulation by Shuyang Xue, Changchun Yin, Jing Li, Jiao Zhu, Wuyang Liu

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Numerical simulation and experimental investigation of pressure riveting connection using the smoothed particle Galerkin method by Jianhui Zhang, Tongxiang Huang, Xuan Qin, Changcheng Yin, Xianchao Yan

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The Local Discontinuous Galerkin Method with Generalized Alternating Flux Applied to the Second-Order Wave Equations by Rongpei Zhang, Jia Liu, Shaohua Jiang, Di Wang

“…In this paper, we propose the local discontinuous Galerkin method based on the generalized alternating numerical flux for solving the one-dimensional second-order wave equation with the periodic boundary conditions. …”
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A Computational Study of an Implicit Local Discontinuous Galerkin Method for Time-Fractional Diffusion Equations by Leilei Wei, Xindong Zhang

“…The proposed method is based on a finite difference scheme in time and local discontinuous Galerkin methods in space. By choosing the numerical fluxes carefully, we prove that our scheme is unconditionally stable and convergent. …”
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Existence and Uniqueness of Generalized Solutions to a Telegraph Equation with an Integral Boundary Condition via Galerkin's Method by Assia Guezane-Lakoud, Jaydev Dabas, Dhirendra Bahuguna

“…We consider a telegraph equation with nonlocal boundary conditions, and using the application of Galerkin's method we established the existence and uniqueness of a generalized solution.…”
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Interpolating Stabilized Element Free Galerkin Method for Neutral Delay Fractional Damped Diffusion-Wave Equation by Mostafa Abbaszadeh, Mehdi Dehghan, Mahmoud A. Zaky, Ahmed S. Hendy

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Nonlinear Normal Modes in a Two-Stage Isolator Using a Modified Finite-Element Galerkin Method by Cheng Li, Hongguang Li

“…A modified Galerkin method is proposed to approximate the nonlinear normal modes in a new type of a two-stage isolator. …”
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Convergence Analysis of Generalized Jacobi-Galerkin Methods for Second Kind Volterra Integral Equations with Weakly Singular Kernels by Haotao Cai

“…We develop a generalized Jacobi-Galerkin method for second kind Volterra integral equations with weakly singular kernels. …”
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