Asymptotic-Preserving Discretization of Three-Dimensional Plasma Fluid Models

2024-9-1

High Order Bound- and Positivity-Preserving Finite Difference Affine-Invariant AWENO Scheme for the Five-Equation Model of Two-Medium Flows

2024-9-1

Local Virtual Element Basis Functions for Space-Time Discontinuous Galerkin Schemes on Unstructured Voronoi Meshes

2024-6-1

The Lowest-Order Stabilized Virtual Element Method for the Stokes Problem

2024-6-1

Modeling Two-Phase System in Complex Domains Based on Phase-Field Approach with Interfacial Correction

2024-6-1

Optimal Error Estimates of a Discontinuous Galerkin Method for Stochastic Allen-Cahn Equation Driven by Multiplicative Noise

2024-6-1

A Moving Mesh Finite Element Method for Bernoulli Free Boundary Problems

2024-6-1

AFEPack: A General-Purpose C++ Library for Numerical Solutions of Partial Differential Equations

2024-6-1

Tree-Based Implementation of the Small Matrix Path Integral for System-Bath Dynamics

2024-6-1

Quinpi: Integrating Stiff Hyperbolic Systems with Implicit High Order Finite Volume Schemes

2024-6-1

A GPU-Accelerated Cartesian Grid Method for the Heat, Wave and Schrödinger Equations on Irregular Domains

2024-6-1

High Order Compact Hermite Reconstructions and Their Application in the Improved Two-Stage Fourth Order Time-Stepping Framework for Hyperbolic Problems: Two-Dimensional Case

2024-6-1

A Model-Data Asymptotic-Preserving Neural Network Method Based on Micro-Macro Decomposition for Gray Radiative Transfer Equations

2024-6-1

Application of Continuous Data Assimilation in High-Resolution Ocean Modeling

2024-6-1

Convergence Analysis for Over-Parameterized Deep Learning

2024-6-1

A Noise and Vibration Tolerant Resnet for Field Reconstruction with Sparse Sensors

2024-6-1

Efficient High-Order Backward Difference Formulae for Cahn-Hilliard Equation with the Gradient Flow in $H^{−α}$

2024-6-1

Finite Difference Approximation with ADI Scheme for Two-Dimensional Keller-Segel Equations

2024-6-1

Towards Preserving Geometric Properties of Landau-Lifshitz-Gilbert Equation Using Multistep Methods

2024-6-1

High Order Asymptotic Preserving and Well-Balanced Schemes for the Shallow Water Equations with Source Terms

2024-6-1

An Improved Diffuse-Interface Lattice Boltzmann Method for Particulate Flows

2024-6-1

An Inverse Averaging Finite Element Method for Solving the Size-Modified Poisson-Nernst-Planck Equations in Ion Channel Simulations

2024-6-1

A Sparse Grid Wavelet Galerkin Method for 3-D Static Piezoelectric Equations

2024-6-1

A High-Order Fast Boundary Element Method with Near-Boundary Stability for Field Emission from Nanoscale Structures

2024-6-1

Asymptotic-Preserving Schemes for Kinetic-Fluid Modeling of Mixture Flows

2024-6-1

Development of a Less Dissipative Interface Variable Reconstruction to Solve the Euler Equations by Q Learning Method

2024-6-1

JefiPIC: A 3-D Full Electromagnetic Particle-in-Cell Simulator Based on Jefimenko’s Equations on GPU

2024-6-1

A Causality-DeepONet for Causal Responses of Linear Dynamical Systems

2024-6-1

AutoAMG($θ$): An Auto-tuned AMG Method Based on Deep Learning for Strong Threshold

2024-6-1

A Parallel Domain Decomposition Method for the Fully-Mixed Stokes-Dual-Permeability Fluid Flo

2024-6-1

Geometric Decomposition and Efficient Implementation of High Order Face and Edge Elements

2024-5-8

Analysis of a Mixed Finite Element Method for Stochastic Cahn-Hilliard Equation with Multiplicative Noise

2024-5-8

A Characteristic Mapping Method for Vlasov–Poisson with Extreme Resolution Properties

2024-5-8

A Data-Driven Scale-Invariant Weighted Compact Nonlinear Scheme for Hyperbolic Conservation Laws

2024-5-8

Finite-Volume TENO Scheme with a New Cell-Interface Flux Evaluation Strategy for Unstructured Meshes

2024-5-8

Localization in the Incommensurate Systems: A Plane Wave Study via Effective Potentials

2024-5-8

The Positivity-Preserving Finite Volume Coupled with Finite Element Method for the Keller–Segel–Navier–Stokes Model

2024-5-8

Unconstrained ETD Methods on the Diffuse-Interface Model with the Peng-Robinson Equation of State

2024-5-8

A Comparative Study of Hydrodynamic Lattice Boltzmann Equation in Phase-Field-Based Multiphase Flow Models

2024-5-6

An Implicit, Asymptotic-Preserving and Energy-Charge-Conserving Method for the Vlasov-Maxwell System Near Quasi-Neutrality

2024-4-15

Postprocessing Techniques of High-Order Galerkin Approximations to Nonlinear Second-Order Initial Value Problems with Applications to Wave Equations

2024-4-15

Generalization Error in the Deep Ritz Method with Smooth Activation Functions

2024-4-15

An Efficient High-Order Gas-Kinetic Scheme with Hybrid WENO-AO Method for the Euler and Navier-Stokes Solutions

2024-4-10

Hybrid Finite Difference Fifth-Order Multi-Resolution WENO Scheme for Hamilton-Jacobi Equations

2024-4-10

Asymptotic-Preserving Neural Networks for Multiscale Kinetic Equations

2024-4-10

A Second Order Numerical Scheme of the Cahn-Hilliard-Navier-Stokes System with Flory-Huggins Potential

2024-4-10

Towards the Efficient Calculation of Quantity Of Interest from Steady Euler Equations I: A Dual-Consistent DWR-Based $h$-Adaptive Newton-GMG Solver

2024-4-10

Solution of Inverse Geometric Problems Using a Non-Iterative MFS

2024-4-10

A Positivity-Preserving and Well-Balanced High Order Compact Finite Difference Scheme for Shallow Water Equations

2024-3-20

Maximum-Principle-Preserving, Steady-State-Preserving and Large Time-Stepping High-Order Schemes for Scalar Hyperbolic Equations with Source Terms

2024-3-20