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• Sound Propagation Properties of the Discrete-Velocity Boltzmann Equation

  Erlend Magnus Viggen

  2020-07-31

  41161 4132 Pages:671-684

• An Adaptive, Finite Difference Solver for the Nonlinear Poisson-Boltzmann Equation with Applications to Biomolecular Computations

  Mohammad Mirzadeh, Maxime Theillard, Asdis Helgadottir, David Boy, Frederic Gibou

  2013-01-05

  40917 4595 Pages:150-173

• Adaptive Finite Element Modeling Techniques for the Poisson-Boltzmann Equation

  M. Holst, J. A. McCammon, Z. Yu, Y. C. Zhou, Y. Zhu

  2012-11-01

  40218 4422 Pages:179-214

• Modeling Salt Dependence of Protein-Protein Association: Linear vs Non-Linear Poisson-Boltzmann Equation

  Kemper Talley, Petras Kundrotas, Emil Alexov

  2008-03-01

  40645 4403 Pages:1071-1086

• Recent Progress in Numerical Methods for the Poisson-Boltzmann Equation in Biophysical Applications

  B. Z. Lu, Y. C. Zhou, M. J. Holst, J. A. McCammon

  2008-03-01

  45354 5479 Pages:973-1009 Open-access

• A Mass Conservative Lattice Boltzmann Model for Two-Phase Flows with Moving Contact Lines at High Density Ratio

  Tao Lu, Xuguang Yang, Fu Xiao, Tao Wen

  2019-07-02

  46715 3333 Pages:1098-1117

• Some Random Batch Particle Methods for the Poisson-Nernst-Planck and Poisson-Boltzmann Equations

  Lei Li, Jian-Guo Liu, Yijia Tang

  2022-07-06

  43771 3747 Pages:41-82

• A Particle Fokker-Planck Algorithm with Multiscale Temporal Discretization for Rarefied and Continuum Gas Flows

  Fei Fei, Zhaohui Liu, Jun Zhang, Chuguang Zheng

  2018-04-09

  42132 3284 Pages:338-374

• Extended Hydrodynamic Models and Multigrid Solver of a Silicon Diode Simulation

  Zhicheng Hu, Ruo Li, Zhonghua Qiao

  2018-04-04

  41024 3272 Pages:551-582

• Efficient Stabilization of Advection Terms Involved in Separated Representations of Boltzmann and Fokker-Planck Equations

  F. Chinesta, E. Abisset-Chavanne, A. Ammar, E. Cueto

  2018-04-02

  38830 3011 Pages:975-1006

• An Iterative Discontinuous Galerkin Method for Solving the Nonlinear Poisson Boltzmann Equation

  Peimeng Yin, Yunqing Huang, Hailiang Liu

  2014-08-03

  42393 4165 Pages:491-515

• Mean-Field Model Beyond Boltzmann-Enskog Picture for Dense Gases

  S. Ansumali

  2020-07-21

  39704 3887 Pages:1106-1116

• Gas Flow Through Square Arrays of Circular Cylinders with Klinkenberg Effect: A Lattice Boltzmann Study

  Zhenhua Chai, Baochang Shi, Zhaoli Guo, Jianhua Lu

  2010-08-01

  42054 4249 Pages:1052-1073

• The Quantum Lattice Boltzmann Equation: Recent Developments

  Silvia Palpacelli, Sauro Succi

  2008-11-05

  37728 4573 Pages:980-1007

• Three Dimensional Dynamics of Polar Fluids: A Lattice Boltzmann Approach

  Michele La Rocca, Andrea Montessori, Pietro Prestininzi

  2025-09-02

  10322 594 Pages:623-642

• A Comparative Study of LBE and DUGKS Methods for Nearly Incompressible Flows

  Peng Wang, Lianhua Zhu, Zhaoli Guo, Kun Xu

  2018-04-02

  38435 3140 Pages:657-681

• A Finite Volume Method for the Multi Subband Boltzmann Equation with Realistic 2D Scattering in Double Gate MOSFETs

  Tiao Lu, Gang Du, Xiaoyan Liu, Pingwen Zhang

  2011-10-01

  38428 4062 Pages:305-338

• Multi-Scale Deep Neural Network (MscaleDNN) for Solving Poisson-Boltzmann Equation in Complex Domains

  Ziqi Liu, Wei Cai, Zhi-Qin John Xu

  2020-11-18

  74175 3751 Pages:1970-2001

• Wetting Boundary Condition in an Improved Lattice Boltzmann Method for Nonideal Gases

  Qin Lou, Mo Yang, Hongtao Xu

  2020-07-31

  50269 3263 Pages:1116-1130

• Finite Volume Lattice Boltzmann Method for Nearly Incompressible Flows on Arbitrary Unstructured Meshes

  Weidong Li, Li-Shi Luo

  2018-04-04

  39765 3217 Pages:301-324

• Simulation of MHD Flows Using a Hybrid Lattice-Boltzmann Finite-Difference Method

  Huayu Li, Hyungson Ki

  2018-03-24

  38587 4011 Pages:337-349

• Burnett Order Stress and Spatially-Dependent Boundary Conditions for the Lattice Boltzmann Method

  Timothy Reis

  2020-03-06

  52992 5355 Pages:167-197

• On Applicability of Poisson-Boltzmann Equation for Micro- and Nanoscale Electroosmotic Flows

  Moran Wang, Shiyi Chen

  2008-03-01

  40167 4214 Pages:1087-1099

• Gas-Kinetic Unified Algorithm for Multi-Component Monatomic Gas Mixture

  Fan Li, Zhi-Hui Li

  2026-05-01

  170 36 Pages:1454-1478

• Application of Gas-Kinetic Unified Algorithm for Solving Boltzmann Model Equation with Vibrational Energy Excitation

  Fan Li, Zhi-Hui Li, Jia-Zhi Hu, Wen-Qiang Hu

  2025-01-22

  15512 966 Pages:250-288

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

  Giacomo Dimarco, Lorenzo Pareschi, Vittorio Rispoli

  2014-05-05

  42487 3991 Pages:1291-1319

• An Efficient Nonlinear Multigrid Solver for the Simulation of Rarefied Gas Cavity Flow

  Zhicheng Hu, Guanghan Li

  2023-09-04

  33052 2772 Pages:357-391