Advances in Applied Mathematics and Mechanics

Modified Moving Least Square Collocation Method for Solving Wave Equations

Numerical Simulation of Non-Linear Schrodinger Equations in Arbitrary Domain by the Localized Method of Approximate Particular Solution

Parametric Vibration Analysis of Pipes Conveying Fluid by Nonlinear Normal Modes and a Numerical Iterative Approach

Lagrangian Identification of Coherent Structures in Wall-Bounded Flows

A Hybrided Trapezoidal-Difference Scheme for Nonlinear Time-Fractional Fourth-Order Advection-Dispersion Equation Based on Chebyshev Spectral Collocation Method

Non-Steady Creep Analysis of FGM Rotating Disc Using GDQ Method

Convergence Analysis of Legendre-Collocation Spectral Methods for Second Order Volterra Integro-Differential Equation with Delay

A Generalized Local Grid Refinement Approach for Modeling of Multi-Physicochemical Transports by Lattice Boltzmann Method

Towards an Accurate and Robust Roe-Type Scheme for All Mach Number Flows

Influence of Magnetic Force on the Flow Stability in a Rectangular Duct

The Fundamental Secondary Instability of the Primary Mack Mode in Hypersonic Boundary Layers on Flat Plates

Wall Temperature Effects on the Reynold Stress of Flat-Plate Turbulent Boundary Layer: a Numerical Investigation

A Splitting Method for the Degasperis--Procesi Equation Using an Optimized WENO Scheme and the Fourier Pseudospectral Method

The Effect of Helicity on Kinetic Energy Cascade in Compressible Helical Turbulence

A Three-Dimensional Gas-Kinetic BGK Scheme for Simulating Flows in Rotating Machinery

A Numerical Investigation of Richtmyer-Meshkov Instability in Spherical Geometry

A Class of Weak Galerkin Finite Element Methods for the Incompressible Fluid Model

Fundamentals of Lax-Wendroff Type Approach to Hyperbolic Problems with Discontinuities

Numerical Investigation into the Air Flow Distributions of the Air Conditioning System in the Modular Data Center

Multiderivative Combined Dissipative Compact Scheme Satisfying Geometric Conservation Law I:Basic Formulations and Performance Evaluation

A Weak Galerkin Method with $C^0$ Element for Forth Order Linear Parabolic Equation

Large Eddy Simulation of Spanwise Rotating Turbulent Channel Flow with Subgrid-Scale Eddy Viscosity Model Based on Helicity

Acoustic Mode in Plane Free Mixing Layers

Anisotropy of the Spectral Structures in Compressible Homogeneous Turbulent Shear Flow

Partitioned Time Stepping Method for Fully Evolutionary Navier-Stokes/ Darcy Flow with BJS Interface Conditions

Lower Bounds of Eigenvalues of the Stokes Operator by Nonconforming Finite Elements on Local Quasi-Uniform Grids

Convergence and Quasi-Optimality of an Adaptive Continuous Interior Penalty Finite Element Method

A Bilinear Petrov-Galerkin Finite Element Method for Solving Elliptic Equation with Discontinuous Coefficients

Alternating Direction Implicit Finite Element Method for Multi-Dimensional Black-Scholes Models

Direct Numerical Simulation of a Freely Falling Thick Disk

Study of Secondary Instability of a Streaky Boundary Layer Under Spanwise-Localized Free-Stream Vortical Disturbances

On the Comparison Between Lattice Boltzmann Methods and Spectral Methods for DNS of Incompressible Turbulent Channel Flows on Small Domain Size

The Effects of Combustion on Turbulent Statistics in a Supersonic Turbulent Jet

An Adaptive Time and Space Discretization Approach for Simulating Unsteady Navier-Stokes Flows

Multiderivative Combined Dissipative Compact Scheme Satisfying Geometric Conservation Law II: Applications on Complex Curvilinear Meshes

On the Double-Step PIV Algorithm of Wall-Bounded Flows