| Analysis of L1-Galerkin FEMs for Time-Fractional Nonlinear Parabolic Problems |
37 |
| A Second-Order Energy Stable BDF Numerical Scheme for the Cahn-Hilliard Equation |
29 |
| Deep Potential: A General Representation of a Many-Body Potential Energy Surface |
24 |
| Model Reduction with Memory and the Machine Learning of Dynamical Systems |
10 |
| A Finite Element Method for a Phase Field Model of Nematic Liquid Crystal Droplets |
10 |
| Particle Based gPC Methods for Mean-Field Models of Swarming with Uncertainty |
10 |
| On Linear and Unconditionally Energy Stable Algorithms for Variable Mobility Cahn-Hilliard Type Equation with Logarithmic Flory-Huggins Potential |
10 |
| Data-Driven, Physics-Based Feature Extraction from Fluid Flow Fields using Convolutional Neural Networks |
10 |
| Hermite Spectral Collocation Methods for Fractional PDEs in Unbounded Domains |
9 |
| Central WENO Subcell Finite Volume Limiters for ADER Discontinuous Galerkin Schemes on Fixed and Moving Unstructured Meshes |
9 |
| Preconditioning of a Coupled Cahn-Hilliard Navier-Stokes System |
8 |
| An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation |
8 |
| High Accuracy Benchmark Problems for Allen-Cahn and Cahn-Hilliard Dynamics |
8 |
| A High Order Adaptive Time-Stepping Strategy an d Local Discontinuous Galerkin Method for the Modified Phase Field Crystal Equation |
7 |
| Dispersion Error Analysis of Stable Node-Based Finite Element Method for the Helmholtz Equation |
6 |
| Detonation Simulations with a Fifth-Order TENO Scheme |
5 |
| An Implicit Discrete Unified Gas-Kinetic Scheme for Simulations of Steady Flow in All Flow Regimes |
5 |
| Simulation of Compressible Two-Phase Flows Using a Void Ratio Transport Equation |
5 |
| An Extremum-Preserving Iterative Procedure for the Imperfect Interface Problem |
5 |
| An Energy Conserving Local Discontinuous Galerkin Method for a Nonlinear Variational Wave Equation |
5 |
| Numerical Study on Two-Dimensional Micro-Channel Flows Using the Gas-Kinetic Unified Algorithm |
5 |
| Semi-Implicit Spectral Deferred Correction Method Based on the Invariant Energy Quadratization Approach for Phase Field Problems |
5 |
| Dispersive Shallow Water Wave Modelling. Part I: Model Derivation on a Globally Flat Space |
5 |
| Finding the Origin of Noise Transients in LIGO Data with Machine Learning |
5 |
| Local RBF Algorithms for Elliptic Boundary Value Problems in Annular Domains |
4 |
| Efficient Numerical Computation of Time-Fractional Nonlinear Schrodinger Equations in Unbounded Domain |
4 |
| Joint Optimization of the Spatial and the Temporal Discretization Scheme for Accurate Computation of Acoustic Problems |
4 |
| A Weak Galerkin Finite Element Method for the Navier-Stokes Equations |
4 |
| A Backward Doubly Stochastic Differential Equation Approach for Nonlinear Filtering Problems |
4 |
| On the Instabilities and Transitions of the Western Boundary Current |
4 |
| Simulation of Bipolar Charge Transport in Graphene by Using a Discontinuous Galerkin Method |
4 |
| Stabilized Predictor-Corrector Schemes for Gradient Flows with Strong Anisotropic Free Energy |
4 |
| A Three-Field Smoothed Formulation for Prediction of Large-Displacement Fluid-Structure Interaction via the Explicit Relaxed Interface Coupling (ERIC) Scheme |
4 |
| A Second-Order Finite-Difference Method for Compressible Fluids in Domains with Moving Boundaries |
4 |
| GenEx: A Simple Generator Structure for Exclusive Processes in High Energy Collisions |
4 |
| Mathematical Models and Numerical Methods for Spinor Bose-Einstein Condensates |
4 |
| Nonlocal Wave Propagation in Unbounded Multi-Scale Media |
4 |
| Locating Multiple Multipolar Acoustic Sources Using the Direct Sampling Method |
4 |
| Error Analysis of the Plane Wave Discontinuous Galerkin Method for Maxwell's Equations in Anisotropic Media |
4 |
| Applications of Three-Dimensional LBM-LES Combined Model for Pump Intakes |
4 |
| Dispersive Shallow Water Wave Modelling. Part IV: Numerical Simulation on a Globally Spherical Geometry |
3 |
| Dispersive Shallow Water Wave Modelling. Part III: Model Derivation on a Globally Spherical Geometry |
3 |
| An Undecomposed Hybrid Algorithm for Nonlinear Coupled Constitutive Relations of Rarefied Gas Dynamics |
3 |
| Computing Eigenvalues and Eigenfunctions of Schrodinger Equations Using a Model Reduction Approach |
3 |
| The Adaptive Monte Carlo Toolbox for Phase Space Integration and Generation |
3 |
| Dispersive Shallow Water Wave Modelling. Part II: Numerical Simulation on a Globally Flat Space |
3 |
| The Simplified Lattice Boltzmann Method on Non-Uniform Meshes |
3 |
| Nonstandard Fourier Pseudospectral Time Domain (PSTD) Schemes for Partial Differential Equations |
3 |
| A Novel Method for Solving Time-Dependent 2D Advection-Diffusion-Reaction Equations to Model Transfer in Nonlinear Anisotropic Media |
3 |
| The Weak Galerkin Method for Elliptic Eigenvalue Problems |
3 |