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Vol. 16 (2024), Issue 1

Vol. 16 (2024), Issue 1

Journal Issue

Year:    2024

Advances in Applied Mathematics and Mechanics, Vol. 16 (2024)

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A Hessian Recovery Based Linear Finite Element Method for Molecular Beam Epitaxy Growth Model with Slope Selection

Journal Article

A Hessian Recovery Based Linear Finite Element Method for Molecular Beam Epitaxy Growth Model with Slope Selection

Advances in Applied Mathematics and Mechanics, Vol. 16 (2024), Iss. 1 : pp. 1–23

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A Nitsche-Based Element-Free Galerkin Method for Semilinear Elliptic Problems

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A Nitsche-Based Element-Free Galerkin Method for Semilinear Elliptic Problems

Advances in Applied Mathematics and Mechanics, Vol. 16 (2024), Iss. 1 : pp. 24–46

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A High-Order Localized Artificial Diffusivity Scheme for Discontinuity Capturing on 1D Drift-Flux Models for Gas-Liquid Flows

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A High-Order Localized Artificial Diffusivity Scheme for Discontinuity Capturing on 1D Drift-Flux Models for Gas-Liquid Flows

Advances in Applied Mathematics and Mechanics, Vol. 16 (2024), Iss. 1 : pp. 47–74

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DPK: Deep Neural Network Approximation of the First Piola-Kirchhoff Stress

Journal Article

DPK: Deep Neural Network Approximation of the First Piola-Kirchhoff Stress

Advances in Applied Mathematics and Mechanics, Vol. 16 (2024), Iss. 1 : pp. 75–100

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Analysis of Weakly Nonlinear Evolution Characteristics of Flow in the Constant Curvature Bend

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Analysis of Weakly Nonlinear Evolution Characteristics of Flow in the Constant Curvature Bend

Advances in Applied Mathematics and Mechanics, Vol. 16 (2024), Iss. 1 : pp. 101–121

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On the Characteristic Length Scale for the Synthetic Turbulence Based on the Spalart-Allmaras Model

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On the Characteristic Length Scale for the Synthetic Turbulence Based on the Spalart-Allmaras Model

Advances in Applied Mathematics and Mechanics, Vol. 16 (2024), Iss. 1 : pp. 122–145

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A Compact Difference Scheme for Time-Space Fractional Nonlinear Diffusion-Wave Equations with Initial Singularity

Journal Article

A Compact Difference Scheme for Time-Space Fractional Nonlinear Diffusion-Wave Equations with Initial Singularity

Advances in Applied Mathematics and Mechanics, Vol. 16 (2024), Iss. 1 : pp. 146–163

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A Mass-Preserving Characteristic Finite Difference Method for Miscible Displacement Problem

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A Mass-Preserving Characteristic Finite Difference Method for Miscible Displacement Problem

Advances in Applied Mathematics and Mechanics, Vol. 16 (2024), Iss. 1 : pp. 164–180

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A Vertex-Centered Arbitrary Lagrangian-Eulerian Finite Volume Method with Sub-Cells for Two-Dimensional Compressible Flow

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A Vertex-Centered Arbitrary Lagrangian-Eulerian Finite Volume Method with Sub-Cells for Two-Dimensional Compressible Flow

Advances in Applied Mathematics and Mechanics, Vol. 16 (2024), Iss. 1 : pp. 181–207

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Local Discontinuous Galerkin Methods with Decoupled Implicit-Explicit Time Marching for the Growth-Mediated Autochemotactic Pattern Formation Model

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Local Discontinuous Galerkin Methods with Decoupled Implicit-Explicit Time Marching for the Growth-Mediated Autochemotactic Pattern Formation Model

Advances in Applied Mathematics and Mechanics, Vol. 16 (2024), Iss. 1 : pp. 208–236

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Reconstructing the Absorption Function in a Quasi-Linear Sorption Dynamic Model via an Iterative Regularizing Algorithm

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Reconstructing the Absorption Function in a Quasi-Linear Sorption Dynamic Model via an Iterative Regularizing Algorithm

Advances in Applied Mathematics and Mechanics, Vol. 16 (2024), Iss. 1 : pp. 237–252

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Free Vibration of Stiffened Plate with Cracked Stiffeners

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Free Vibration of Stiffened Plate with Cracked Stiffeners

Advances in Applied Mathematics and Mechanics, Vol. 16 (2024), Iss. 1 : pp. 253–278

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