Advances in Applied Mathematics and Mechanics (AAMM) provides a fast communication platform among researchers using mathematics as a tool for solving problems in mechanics and engineering, with particular emphasis in the integration of theory and applications. To cover as wide audiences as possible, abstract or axiomatic mathematics is not encouraged. Innovative numerical analysis, numerical methods, and interdisciplinary applications are particularly welcome.
应用数学与力学进展（AAMM）为研究人员提供了一个快速交流平台，将数学作为解决力学和工程问题的工具，特别强调理论与应用的整合。为了覆盖尽可能广泛的受众，不鼓励使用抽象或公理化的数学。创新的数值分析、数值方法和跨学科应用尤其受欢迎。
Fractional Integro-Differential Equations Involving $\\psi$-Hilfer Fractional Derivative
来源期刊：Advances in Applied Mathematics and MechanicsDOI：10.4208/AAMM.OA-2018-0143
A Dual-Level Method of Fundamental Solutions in Conjunction with Kernel-Independent Fast Multipole Method for Large-Scale Isotropic Heat Conduction Problems
来源期刊：Advances in Applied Mathematics and MechanicsDOI：10.4208/AAMM.OA-2018-0148
Numerical Investigation of Supersonic Channel Flow with Oscillatory Backpressures
来源期刊：Advances in Applied Mathematics and MechanicsDOI：10.4208/AAMM.OA-2018-0095
Modified Moving Least Square Collocation Method for Solving Wave Equations
来源期刊：Advances in Applied Mathematics and MechanicsDOI：10.4208/AAMM.OA-2018-0029
Numerical Simulation of Non-Linear Schrodinger Equations in Arbitrary Domain by the Localized Method of Approximate Particular Solution
来源期刊：Advances in Applied Mathematics and MechanicsDOI：10.4208/AAMM.OA-2018-0026
Parametric Vibration Analysis of Pipes Conveying Fluid by Nonlinear Normal Modes and a Numerical Iterative Approach
来源期刊：Advances in Applied Mathematics and MechanicsDOI：10.4208/AAMM.OA-2018-0064
Lagrangian Identification of Coherent Structures in Wall-Bounded Flows
来源期刊：Advances in Applied Mathematics and MechanicsDOI：10.4208/AAMM.2018.S08
A Hybrided Trapezoidal-Difference Scheme for Nonlinear Time-Fractional Fourth-Order Advection-Dispersion Equation Based on Chebyshev Spectral Collocation Method
来源期刊：Advances in Applied Mathematics and MechanicsDOI：10.4208/AAMM.OA-2018-0045
Non-Steady Creep Analysis of FGM Rotating Disc Using GDQ Method
来源期刊：Advances in Applied Mathematics and MechanicsDOI：10.4208/AAMM.OA-2017-0343
Convergence Analysis of Legendre-Collocation Spectral Methods for Second Order Volterra Integro-Differential Equation with Delay
来源期刊：Advances in Applied Mathematics and MechanicsDOI：10.4208/AAMM.OA-2018-0121
A Generalized Local Grid Refinement Approach for Modeling of Multi-Physicochemical Transports by Lattice Boltzmann Method
来源期刊：Advances in Applied Mathematics and MechanicsDOI：10.4208/AAMM.OA-2018-0130
Towards an Accurate and Robust Roe-Type Scheme for All Mach Number Flows
来源期刊：Advances in Applied Mathematics and MechanicsDOI：10.4208/AAMM.OA-2018-0141
Influence of Magnetic Force on the Flow Stability in a Rectangular Duct
来源期刊：Advances in Applied Mathematics and MechanicsDOI：10.4208/AAMM.OA-2018-0142
The Fundamental Secondary Instability of the Primary Mack Mode in Hypersonic Boundary Layers on Flat Plates
来源期刊：Advances in Applied Mathematics and MechanicsDOI：10.4208/AAMM.2018.S01
Wall Temperature Effects on the Reynold Stress of Flat-Plate Turbulent Boundary Layer: a Numerical Investigation
来源期刊：Advances in Applied Mathematics and MechanicsDOI：10.4208/AAMM.2018.S09
A Splitting Method for the Degasperis--Procesi Equation Using an Optimized WENO Scheme and the Fourier Pseudospectral Method
来源期刊：Advances in Applied Mathematics and MechanicsDOI：10.4208/AAMM.OA-2018-0054
The Effect of Helicity on Kinetic Energy Cascade in Compressible Helical Turbulence
来源期刊：Advances in Applied Mathematics and MechanicsDOI：10.4208/AAMM.2018.S13
A Three-Dimensional Gas-Kinetic BGK Scheme for Simulating Flows in Rotating Machinery
来源期刊：Advances in Applied Mathematics and MechanicsDOI：10.4208/AAMM.OA-2018-0093
A Numerical Investigation of Richtmyer-Meshkov Instability in Spherical Geometry
来源期刊：Advances in Applied Mathematics and MechanicsDOI：10.4208/AAMM.2018.S03
A Class of Weak Galerkin Finite Element Methods for the Incompressible Fluid Model
来源期刊：Advances in Applied Mathematics and MechanicsDOI：10.4208/AAMM.OA-2018-0115
Fundamentals of Lax-Wendroff Type Approach to Hyperbolic Problems with Discontinuities
来源期刊：Advances in Applied Mathematics and MechanicsDOI：10.4208/AAMM.2018.S02
Numerical Investigation into the Air Flow Distributions of the Air Conditioning System in the Modular Data Center
来源期刊：Advances in Applied Mathematics and MechanicsDOI：10.4208/AAMM.OA-2018-0139
Multiderivative Combined Dissipative Compact Scheme Satisfying Geometric Conservation Law I:Basic Formulations and Performance Evaluation
来源期刊：Advances in Applied Mathematics and MechanicsDOI：10.4208/AAMM.OA-2018-0078
A Weak Galerkin Method with $C^0$ Element for Forth Order Linear Parabolic Equation
来源期刊：Advances in Applied Mathematics and MechanicsDOI：10.4208/AAMM.OA-2018-0028
Large Eddy Simulation of Spanwise Rotating Turbulent Channel Flow with Subgrid-Scale Eddy Viscosity Model Based on Helicity
来源期刊：Advances in Applied Mathematics and MechanicsDOI：10.4208/AAMM.2018.S14
Acoustic Mode in Plane Free Mixing Layers
来源期刊：Advances in Applied Mathematics and MechanicsDOI：10.4208/AAMM.2018.S07
Anisotropy of the Spectral Structures in Compressible Homogeneous Turbulent Shear Flow
来源期刊：Advances in Applied Mathematics and MechanicsDOI：10.4208/AAMM.2018.S15
Partitioned Time Stepping Method for Fully Evolutionary Navier-Stokes/ Darcy Flow with BJS Interface Conditions
来源期刊：Advances in Applied Mathematics and MechanicsDOI：10.4208/AAMM.OA-2018-0102
Lower Bounds of Eigenvalues of the Stokes Operator by Nonconforming Finite Elements on Local Quasi-Uniform Grids
来源期刊：Advances in Applied Mathematics and MechanicsDOI：10.4208/AAMM.OA-2018-0061
Convergence and Quasi-Optimality of an Adaptive Continuous Interior Penalty Finite Element Method
来源期刊：Advances in Applied Mathematics and MechanicsDOI：10.4208/AAMM.OA-2018-0160
A Bilinear Petrov-Galerkin Finite Element Method for Solving Elliptic Equation with Discontinuous Coefficients
来源期刊：Advances in Applied Mathematics and MechanicsDOI：10.4208/AAMM.OA-2018-0099
Alternating Direction Implicit Finite Element Method for Multi-Dimensional Black-Scholes Models
来源期刊：Advances in Applied Mathematics and MechanicsDOI：10.4208/AAMM.OA-2018-0144
Direct Numerical Simulation of a Freely Falling Thick Disk
来源期刊：Advances in Applied Mathematics and MechanicsDOI：10.4208/AAMM.2018.S05
Study of Secondary Instability of a Streaky Boundary Layer Under Spanwise-Localized Free-Stream Vortical Disturbances
来源期刊：Advances in Applied Mathematics and MechanicsDOI：10.4208/AAMM.2018.S12
On the Comparison Between Lattice Boltzmann Methods and Spectral Methods for DNS of Incompressible Turbulent Channel Flows on Small Domain Size
来源期刊：Advances in Applied Mathematics and MechanicsDOI：10.4208/AAMM.2018.S04
The Effects of Combustion on Turbulent Statistics in a Supersonic Turbulent Jet
来源期刊：Advances in Applied Mathematics and MechanicsDOI：10.4208/AAMM.2018.S10
An Adaptive Time and Space Discretization Approach for Simulating Unsteady Navier-Stokes Flows
来源期刊：Advances in Applied Mathematics and MechanicsDOI：10.4208/AAMM.OA-2018-0004
Multiderivative Combined Dissipative Compact Scheme Satisfying Geometric Conservation Law II: Applications on Complex Curvilinear Meshes
来源期刊：Advances in Applied Mathematics and MechanicsDOI：10.4208/AAMM.OA-2018-0079
On the Double-Step PIV Algorithm of Wall-Bounded Flows
来源期刊：Advances in Applied Mathematics and MechanicsDOI：10.4208/AAMM.2018.S11
