Communications in Computational Physics

Simulation of Bipolar Charge Transport in Graphene by Using a Discontinuous Galerkin Method

High Accuracy Benchmark Problems for Allen-Cahn and Cahn-Hilliard Dynamics

Semi-Implicit Spectral Deferred Correction Method Based on the Invariant Energy Quadratization Approach for Phase Field Problems

Conservative and Dissipative Local Discontinuous Galerkin Methods for Korteweg-de Vries Type Equations

On the Instabilities and Transitions of the Western Boundary Current

Error Analysis of the Plane Wave Discontinuous Galerkin Method for Maxwell’s Equations in Anisotropic Media

An Efficient Spectral Method for the Inextensible Immersed Interface in Incompressible Flows

An Implicit Discrete Unified Gas-Kinetic Scheme for Simulations of Steady Flow in All Flow Regimes

A New Multi-Component Diffuse Interface Model with Peng-Robinson Equation of State and its Scalar Auxiliary Variable (SAV) Approach

The Immersed Boundary Method: Application to Two-Phase Immiscible Flows

An Extremum-Preserving Iterative Procedure for the Imperfect Interface Problem

The Weak Galerkin Method for Elliptic Eigenvalue Problems

Direct Imaging of Inhomogeneous Obstacles in a Three-Layered Ocean Waveguide

Developing Finite Element Methods for Simulating Transformation Optics Devices with Metamaterials

Local RBF Algorithms for Elliptic Boundary Value Problems in Annular Domains

Double Source Transfer Domain Decomposition Method For Helmholtz Problems

Numerical Modeling of Non-Isothermal Compositional Compressible Gas Flow in Soil and Coupled Atmospheric Boundary Layer

Mass- and Energy-Conserved Numerical Schemes for Nonlinear Schr ¨odinger Equations

Neutron Discrete Velocity Boltzmann Equation and its Finite Volume Lattice Boltzmann Scheme

A Numerical Study of the 3-Periodic Wave Solutions to Toda-Type Equations

Discontinuous Bubble Immersed Finite Element Method for Poisson-Boltzmann Equation

Defect Formation Mechanisms and Point Defect Concentrations in the Anion Sublattice of Uranium Dioxide: Molecular Dynamics Study

Effective Time Step Analysis of a Nonlinear Convex Splitting Scheme for the Cahn–Hilliard Equation

Superconvergence for Triangular Linear Edge Elements

Construction of the High Order Accurate Generalized Finite Difference Schemes for Inviscid Compressible Flows

Convergence Analysis of Exponential Time Differencing Schemes for the Cahn-Hilliard Equation †

Analysis of Local and Parallel Algorithm for Incompressible Magnetohydrodynamics Flows by Finite Element Iterative Method

A Gas-Kinetic Riemann Solver for Stiffened Gas Interface and its Application in Multimaterial Flows

Numerical Study on Statistical Behaviors of Two-Dimensional Dry Foam

A numerical approach for a system of transport equations in the field of radiotherapy

Optimal Error Estimates of a Linearized Crank-Nicolson Galerkin FEM for the Kuramoto-Tsuzuki Equations

Detecting Particle Clusters in Particle-Fluid Systems by a Density Based Method

A Two-Fold Structural Classification Method for Determining the Accurate Ensemble of Protein Structures

An Effective and Easy-to-Implement Boundary Condition for Molecular Dynamics Simulations

An Adaptive High Order WENO Solver for Conservation Laws

Improving Linked-Lists Using Tree Search Algorithms for Neighbor Finding in Variable-Resolution Smoothed Particle Hydrodynamics

Numerical Analysis of the Midpoint Scheme for the Generalized Benjamin-Bona-Mahony Equation with White Noise Dispersion

An MRT Extension to the Multigrid Lattice Boltzmann Method

An Adjoint-Based h-Adaptive Reconstructed Discontinuous Galerkin Method for the Steady-State Compressible Euler Equations

Müntz Spectral Method for Two-Dimensional Space-Fractional Convection-Diffusion Equation

Vector penalty-projection methods for outflow boundary conditions with optimal second-order accuracy

A Solution Structure-Based Adaptive Approximate (SSAA) Riemann Solver for the Elastic-Perfectly Plastic Solid

A Nonlinear Finite Volume Element Method Satisfying Maximum Principle for Anisotropic Diffusion Problems on Arbitrary Triangular Meshes

A Conformal Energy-Conserved Method for Maxwell’s Equations with Perfectly Matched Layers

Optimizing Atomic Structures through Geno-Mathematical Programming

Approximation of the Mean Escape Time for a Tilted Periodic Potential

Locally Divergence-Free Spectral-DG Methods for Ideal Magnetohydrodynamic Equations on Cylindrical Coordinates