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• Sound Propagation Properties of the Discrete-Velocity Boltzmann Equation

  Erlend Magnus Viggen

  2020-07-31

  41065 4110 Pages:671-684

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

  Mohammad Mirzadeh, Maxime Theillard, Asdís Helgadóttir, David Boy & Frédéric Gibou

  2013-01-05

  40810 4537 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

  40113 4341 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

  40556 4372 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

  45241 5392 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

  46602 3288 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

  43668 3690 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

  42041 3243 Pages:338-374

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

  Zhicheng Hu, Ruo Li & Zhonghua Qiao

  2018-04-04

  40944 3232 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

  38759 2982 Pages:975-1006

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

  Peimeng Yin, Yunqing Huang & Hailiang Liu

  2014-08-03

  42307 4129 Pages:491-515

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

  S. Ansumali

  2020-07-21

  39630 3853 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

  41948 4214 Pages:1052-1073

• The Quantum Lattice Boltzmann Equation: Recent Developments

  Silvia Palpacelli & Sauro Succi

  2008-11-05

  37640 4537 Pages:980-1007

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

  Michele La Rocca, Andrea Montessori, Pietro Prestininzi

  2025-09-02

  10219 550 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

  38332 3106 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

  38336 4018 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

  73856 3682 Pages:1970-2001

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

  Qin Lou, Mo Yang & Hongtao Xu

  2020-07-31

  50131 3223 Pages:1116-1130

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

  Weidong Li & Li-Shi Luo

  2018-04-04

  39673 3189 Pages:301-324

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

  Huayu Li & Hyungson Ki

  2018-03-24

  38502 3962 Pages:337-349

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

  Timothy Reis

  2020-03-06

  52896 5256 Pages:167-197

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

  Moran Wang & Shiyi Chen

  2008-03-01

  40083 4183 Pages:1087-1099

• 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

  15379 879 Pages:250-288

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

  Giacomo Dimarco, Lorenzo Pareschi & Vittorio Rispoli

  2014-05-05

  42407 3958 Pages:1291-1319

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

  Zhicheng Hu, Guanghan Li

  2023-09-04

  32942 2737 Pages:357-391

• General Synthetic Iterative Scheme for Unsteady Rarefied Gas Flows

  Jianan Zeng, Wei Su, Lei Wu

  2023-08-14

  33711 3342 Pages:173-207