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• Relaxation Schemes for Entropy Dissipative Systems of Viscous Conservation Laws

  Tuowei Chen, Jiequan Li

  2025-09-05

  3509 292 Pages:953-986

• An Explicit Multi-Time Stepping Algorithm for Multi-Time Scale Coupling Problems in SPH

  Xiaojing Tang, Dong Wu, Zhentong Wang, Oskar Haidn, Xiangyu Hu

  2024-12-02

  203 55 Pages:1219-1261

• Deep Learning-Based Computational Method for Soft Matter Dynamics: Deep Onsager-Machlup Method

  Zhihao Li, Boyi Zou, Haiqin Wang, Jian Su, Dong Wang, Xinpeng Xu

  2025-09-02

  263 68 Pages:353-382

• The Diffused Vortex Hydrodynamics Method

  Emanuele Rossi, Andrea Colagrossi, Benjamin Bouscasse & Giorgio Graziani

  2018-04-03

  38882 3014 Pages:351-379

• Comparison of Simulations of Convective Flows

  Pierre Lallemand, François Dubois

  2018-04-02

  41331 3293 Pages:1169-1184

• Implicit-Explicit Runge-Kutta Schemes for the Boltzmann-Poisson System for Semiconductors

  Giacomo Dimarco, Lorenzo Pareschi & Vittorio Rispoli

  2014-05-05

  42337 3944 Pages:1291-1319

• A Positivity-Preserving Scheme for the Simulation of Streamer Discharges in Non-Attaching and Attaching Gases

  Chijie Zhuang & Rong Zeng

  2014-01-05

  40504 4352 Pages:153-178

• A Stabilized Finite Element Method for Modified Poisson-Nernst-Planck Equations to Determine Ion Flow Through a Nanopore

  Jehanzeb Hameed Chaudhry, Jeffrey Comer, Aleksei Aksimentiev & Luke N. Olson

  2014-01-05

  40564 4157 Pages:93-125

• A Phase-Field Model Coupled with Lattice Kinetics Solver for Modeling Crystal Growth in Furnaces

  Guang Lin, Jie Bao, Zhijie Xu, Alexandre M. Tartakovsky & Charles H. Henager Jr.

  2014-01-05

  40279 4121 Pages:76-92

• A Simple, Fast and Stabilized Flowing Finite Volume Method for Solving General Curve Evolution Equations

  Karol Mikula, Daniel Ševčovič, Martin Balažovjech

  2010-07-01

  41031 4246 Pages:195-211

• Grown-in Defects of InSb Crystals: Models and Computation

  N. Vaidya, H. Huang & D. Liang

  2006-01-01

  57 30 Pages:511-527

• Grown-in Defects of InSb Crystals: Models and Computation

  N. Vaidya, H. Huang & D. Liang

  2006-01-01

  38331 3849 Pages:511-527

• A $H^T_N$-Based UGKS Scheme for the Three-Temperature Radiative Transfer Equations

  Qi Li, Song Jiang, Wenjun Sun

  2025-08-08

  4414 421 Pages:317-347

• An Improved Diffuse-Interface Lattice Boltzmann Method for Particulate Flows

  Jiao Liu, Zhenhua Chai, Baochang Shi

  2024-06-14

  28157 1838 Pages:1309-1326

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

  Yukun Li, Corey Prachniak, Yi Zhang

  2024-05-06

  27824 1940 Pages:1003-1028

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

  Wenbin Chen, Jianyu Jing, Qianqian Liu, Cheng Wang, Xiaoming Wang

  2024-04-10

  24880 2105 Pages:633-661

• A Unified Gas-Kinetic Particle Method for Frequency-Dependent Radiative Transfer Equations with Isotropic Scattering Process on Unstructured Mesh

  Yuan Hu, Chang Liu, Huayun Shen, Shiyang Zou, Baolin Tian

  2024-01-31

  28856 2454 Pages:181-211

• An Accurate and Scalable Direction-Splitting Solver for Flows Laden with Non-Spherical Rigid Bodies – Part 1: Fixed Rigid Bodies

  Aashish Goyal, Anthony Wachs

  2023-11-08

  31555 2569 Pages:1079-1132

• Investigating and Mitigating Failure Modes in Physics-Informed Neural Networks (PINNs)

  Shamsulhaq Basir

  2023-06-06

  41484 2933 Pages:1240-1269

• A Fourth-Order Kernel-Free Boundary Integral Method for Interface Problems

  Yaning Xie, Shuwang Li, Wenjun Ying

  2023-04-28

  32699 3018 Pages:764-794

• Lattice Boltzmann Modeling of Miscible Multicomponent Gas Mixtures in the Rarefied Regime

  Michel Ho, Sami Ammar, Sébastien Leclaire, Marcelo Reggio, Jean-Yves Trépanier

  2022-10-28

  44649 3307 Pages:1179-1216

• A Pseudopotential Lattice Boltzmann Analysis for Multicomponent Flow

  Yong Zhao, Gerald G. Pereira, Shibo Kuang, Zhenhua Chai, Baochang Shi

  2022-10-28

  45622 3174 Pages:1156-1178

• A High-Order Direct Discontinuous Galerkin Method for Variable Density Incompressible Flows

  Fan Zhang, Tiegang Liu

  2022-09-29

  40876 3129 Pages:850-877

• Anomalous Sorption Kinetics of Self-Interacting Particles by a Spherical Trap

  Antonio Raudino, Antonio Grassi, Giuseppe Lombardo, Giovanni Russo, Clarissa Astuto, Mario Corti

  2022-03-03

  45450 3150 Pages:707-738

• Discrete Duality Finite Volume Discretization of the Thermal-$P_N$ Radiative Transfer Equations on General Meshes

  Francois Hermeline

  2022-01-27

  42740 3302 Pages:398-448

• A Modified Crank-Nicolson Numerical Scheme for the Flory-Huggins Cahn-Hilliard Model

  Wenbin Chen, Jianyu Jing, Cheng Wang, Xiaoming Wang, Steven M. Wise

  2021-12-06

  49256 4172 Pages:60-93 Open-access

• Phase-Field-Based Axisymmetric Lattice Boltzmann Method for Two-Phase Electro-Hydrodynamic Flows

  Xi Liu, Zhenhua Chai, Baochang Shi

  2021-10-26

  48129 3342 Pages:1346-1369