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Vol. 13 (2021), Issue 4

Vol. 13 (2021), Issue 4

Journal Issue

Year:    2021

Advances in Applied Mathematics and Mechanics, Vol. 13 (2021)

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An Efficient and Unconditionally Convergent Galerkin Finite Element Method for the Nonlinear Schrödinger Equation in High Dimensions

Journal Article

An Efficient and Unconditionally Convergent Galerkin Finite Element Method for the Nonlinear Schrödinger Equation in High Dimensions

Advances in Applied Mathematics and Mechanics, Vol. 13 (2021), Iss. 4 : pp. 735–760

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An Energy-Stable Finite Element Method for Incompressible Magnetohydrodynamic-Cahn-Hilliard Coupled Model

Journal Article

An Energy-Stable Finite Element Method for Incompressible Magnetohydrodynamic-Cahn-Hilliard Coupled Model

Advances in Applied Mathematics and Mechanics, Vol. 13 (2021), Iss. 4 : pp. 761–790

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Error Analysis of Two-Level Finite Element Method for the Nonlinear Conductivity Problem in Maxwell's System

Journal Article

Error Analysis of Two-Level Finite Element Method for the Nonlinear Conductivity Problem in Maxwell's System

Advances in Applied Mathematics and Mechanics, Vol. 13 (2021), Iss. 4 : pp. 791–805

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Numerical Schemes for Time-Space Fractional Vibration Equations

Journal Article

Numerical Schemes for Time-Space Fractional Vibration Equations

Advances in Applied Mathematics and Mechanics, Vol. 13 (2021), Iss. 4 : pp. 806–826

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High-Order Well-Balanced Finite Volume WENO Schemes with Conservative Variables Decomposition for Shallow Water Equations

Journal Article

High-Order Well-Balanced Finite Volume WENO Schemes with Conservative Variables Decomposition for Shallow Water Equations

Advances in Applied Mathematics and Mechanics, Vol. 13 (2021), Iss. 4 : pp. 827–849

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Analytical Solution for Vibration of Continuously Varying-Thickness Beams Resting on Pasternak Elastic Foundations

Journal Article

Analytical Solution for Vibration of Continuously Varying-Thickness Beams Resting on Pasternak Elastic Foundations

Advances in Applied Mathematics and Mechanics, Vol. 13 (2021), Iss. 4 : pp. 850–866

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A Second-Order Energy Stable BDF Numerical Scheme for the Viscous Cahn-Hilliard Equation with Logarithmic Flory-Huggins Potential

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A Second-Order Energy Stable BDF Numerical Scheme for the Viscous Cahn-Hilliard Equation with Logarithmic Flory-Huggins Potential

Advances in Applied Mathematics and Mechanics, Vol. 13 (2021), Iss. 4 : pp. 867–891

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Two-Grid Finite Volume Element Method Combined with Crank-Nicolson Scheme for Semilinear Parabolic Equations

Journal Article

Two-Grid Finite Volume Element Method Combined with Crank-Nicolson Scheme for Semilinear Parabolic Equations

Advances in Applied Mathematics and Mechanics, Vol. 13 (2021), Iss. 4 : pp. 892–913

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An Analytical Solution for Nonlinear Vibration Analysis of Functionally Graded Rectangular Plate in Contact with Fluid

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An Analytical Solution for Nonlinear Vibration Analysis of Functionally Graded Rectangular Plate in Contact with Fluid

Advances in Applied Mathematics and Mechanics, Vol. 13 (2021), Iss. 4 : pp. 914–941

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Direct Numerical Simulations of Self-Sustained Oscillations in Two-Dimensional Open Cavity for Subsonic and Supersonic Flow

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Direct Numerical Simulations of Self-Sustained Oscillations in Two-Dimensional Open Cavity for Subsonic and Supersonic Flow

Advances in Applied Mathematics and Mechanics, Vol. 13 (2021), Iss. 4 : pp. 942–965

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On the Equilibria of the Planar Equilateral Restricted Four-Body Problem with Radiation Pressure

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On the Equilibria of the Planar Equilateral Restricted Four-Body Problem with Radiation Pressure

Advances in Applied Mathematics and Mechanics, Vol. 13 (2021), Iss. 4 : pp. 966–981

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A Note on the Generating Function Method

Journal Article

A Note on the Generating Function Method

Advances in Applied Mathematics and Mechanics, Vol. 13 (2021), Iss. 4 : pp. 982–1004

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