Search Results

• A Simple GPU Implementation of Spectral-Element Methods for Solving 3D Poisson Type Equations on Rectangular Domains and Its Applications

  Xinyu Liu, Jie Shen, Xiangxiong Zhang

  2024-12-02

  DOI:10.4208/cicp.OA-2024-0072

  17147 1405 pp. 1157-1185

• Poisson-Boltzmann Theory of Bionanosystems

  A. Sayyed-Ahmad, Y. Miao, P. Ortoleva

  2008-03-01

  39606 4295 pp. 1100-1116

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

  Xi Liu, Zhenhua Chai, Baochang Shi

  2021-10-26

  DOI:10.4208/cicp.OA-2021-0025

  48408 3429 pp. 1346-1369

• A Novel Efficient Numerical Solution of Poisson's Equation for Arbitrary Shapes in Two Dimensions

  Zu-Hui Ma, Weng Cho Chew, Li Jun Jiang

  2020-07-30

  DOI:10.4208/cicp.230813.291113a

  42254 3478 pp. 1381-1404

• The Geometry Behind Numerical Solvers of the Poisson-Boltzmann Equation

  Xinwei Shi, Patrice Koehl

  2008-03-01

  40436 4211 pp. 1032-1050

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

  Ruigang Shen, Qianru Zhang, Benzhuo Lu

  2024-09-06

  DOI:10.4208/cicp.OA-2021-0242

  19779 1616 pp. 521-550

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

  Lei Li, Jian-Guo Liu, Yijia Tang

  2022-07-06

  DOI:10.4208/cicp.OA-2021-0159

  43777 3758 pp. 41-82

• DASHMM Accelerated Adaptive Fast Multipole Poisson-Boltzmann Solver on Distributed Memory Architecture

  Bo Zhang, Jackson DeBuhr, Drake Niedzielski, Silvio Mayolo, Benzhuo Lu, Thomas Sterling

  2018-12-08

  DOI:10.4208/cicp.OA-2018-0098

  48661 3353 pp. 1235-1258

• Point Integral Method for Solving Poisson-Type Equations on Manifolds from Point Clouds with Convergence Guarantees

  Zhen Li, Zuoqiang Shi, Jian Sun

  2019-10-31

  DOI:10.4208/cicp.111015.250716a

  42282 4279 pp. 228-258

• Exact Artificial Boundary Condition for the Poisson Equation in the Simulation of the 2D Schrödinger-Poisson System

  Norbert J. Mauser, Yong Zhang

  2014-12-08

  DOI:10.4208/cicp.110813.140314a

  39878 4271 pp. 764-780

• MOD-Net: A Machine Learning Approach via Model-Operator-Data Network for Solving PDEs

  Lulu Zhang, Tao Luo, Yaoyu Zhang, Weinan E, Zhi-Qin John Xu, Zheng Ma

  2022-08-11

  DOI:10.4208/cicp.OA-2021-0257

  307217 3645 pp. 299-335

• Conservative Semi-Lagrangian Finite Difference WENO Formulations with Applications to the Vlasov Equation

  Jing-Mei Qiu, Chi-Wang Shu

  2011-10-01

  DOI:10.4208/cicp.180210.251110a

  40880 4332 pp. 979-1000

• Local RBF Algorithms for Elliptic Boundary Value Problems in Annular Domains

  C. S. Chen, Andreas Karageorghis

  2018-09-01

  DOI:10.4208/cicp.OA-2018-0031

  45776 5217 pp. 41-67

• Discontinuous Bubble Immersed Finite Element Method for Poisson-Boltzmann Equation

  In Kwon, Do Y. Kwak

  2018-11-09

  DOI:10.4208/cicp.OA-2018-0014

  48279 3476 pp. 928-946

• Numerical Simulations for the Quasi-3D Fluid Streamer Propagation Model: Methods and Applications

  Chijie Zhuang, Mengmin Huang, Rong Zeng

  2020-07-31

  DOI:10.4208/cicp.2018.hh80.13

  43382 3317 pp. 1259-1278

• Error Estimates for the Iterative Discontinuous Galerkin Method to the Nonlinear Poisson-Boltzmann Equation

  Peimeng Yin, Yunqing Huang, Hailiang Liu

  2018-07-03

  DOI:10.4208/cicp.OA-2016-0226

  46428 5094 pp. 168-197

• 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

  DOI:10.4208/cicp.290711.181011s

  40920 4598 pp. 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

  DOI:10.4208/cicp.081009.130611a

  40220 4426 pp. 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

  40648 4404 pp. 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

  45357 5481 pp. 973-1009 Open Access

• A High-Accurate Fast Poisson Solver Based on Harmonic Surface Mapping Algorithm

  Jiuyang Liang, Pei Liu, Zhenli Xu

  2021-04-30

  DOI:10.4208/cicp.OA-2020-0052

  50411 4812 pp. 210-226

• A Variational Model for Two-Phase Immiscible Electroosmotic Flow at Solid Surfaces

  Sihong Shao, Tiezheng Qian

  2012-11-01

  DOI:10.4208/cicp.071210.040511a

  42209 3970 pp. 831-862

• A Fourth Order Numerical Method for the Primitive Equations Formulated in Mean Vorticity

  Jian-Guo Liu, Cheng Wang

  2008-04-01

  38898 4335 pp. 26-55

• Conservative Finite-Difference Scheme and Two-Stage Iteration Process of Its Realization for the 2D Problem of Semiconductor Plasma Generation by Femtosecond Pulse

  Vyacheslav A. Trofimov, Maria M. Loginova, Vladimir A. Egorenkov

  2018-08-21

  DOI:10.4208/cicp.121015.080517a

  45943 3537 pp. 1512-1533

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

  Peimeng Yin, Yunqing Huang, Hailiang Liu

  2014-08-03

  DOI:10.4208/cicp.270713.280214a

  42396 4167 pp. 491-515

• 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

  DOI:10.4208/cicp.OA-2021-0101

  45665 3211 pp. 707-738

• 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

  DOI:10.4208/cicp.OA-2020-0179

  74201 3754 pp. 1970-2001