Search Results

• Optimal Error Estimates of Compact Finite Difference Discretizations for the Schrödinger-Poisson System

  Yong Zhang

  2013-05-05

  40965 4110 Pages:1357-1388

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

  Moran Wang & Shiyi Chen

  2008-03-01

  40012 4152 Pages:1087-1099

• An Efficient Two-Grid Scheme for the Cahn-Hilliard Equation

  Jie Zhou, Long Chen, Yunqing Huang & Wansheng Wang

  2018-04-02

  42628 4406 Pages:127-145

• A Charge Preserving Scheme for the Numerical Resolution of the Vlasov-Ampère Equations

  Nicolas Crouseilles & Thomas Respaud

  2011-10-01

  40134 4022 Pages:1001-1026

• Efficient Algorithms for Approximating Particular Solutions of Elliptic Equations Using Chebyshev Polynomials

  A. Karageorghis & I. Kyza

  2007-02-01

  38471 4086 Pages:501-521

• A $p$-Adaptive Treecode Solution of the Poisson Equation in the General Domain

  Zixuan Cui, Lei Yang

  2025-09-18

  4099 291 Pages:1331-1354

• Generalization Error in the Deep Ritz Method with Smooth Activation Functions

  Janne Siipola

  2024-04-10

  24120 2222 Pages:761-815 Open-access

• An Efficient Neural-Network and Finite-Difference Hybrid Method for Elliptic Interface Problems with Applications

  Wei-Fan Hu, Te-Sheng Lin, Yu-Hau Tseng, Ming-Chih Lai

  2023-05-12

  36233 2866 Pages:1090-1105

• Fast Finite Element Method for the Three-Dimensional Poisson Equation in Infinite Domains

  Xiang Ma & Chunxiong Zheng

  2020-07-31

  43565 3259 Pages:1101-1120

• Numerical Optimization of a Walk-on-Spheres Solver for the Linear Poisson-Boltzmann Equation

  Travis Mackoy, Robert C. Harris, Jesse Johnson, Michael Mascagni & Marcia O. Fenley

  2013-01-05

  41006 4322 Pages:195-206

• An Iterative Two-Fluid Pressure Solver Based on the Immersed Interface Method

  Sheng Xu

  2020-07-31

  38515 3951 Pages:528-543

• Parallel Algebraic Multigrid Methods in Gyrokinetic Turbulence Simulations

  M. F. Adams & Y. Nishimura

  2007-02-01

  37195 3846 Pages:881-899

• Numerical Solution of 3D Poisson-Nernst-Planck Equations Coupled with Classical Density Functional Theory for Modeling Ion and Electron Transport in a Confined Environment

  Da Meng, Bin Zheng, Guang Lin & Maria L. Sushko

  2014-11-08

  41390 3831 Pages:1298-1322

• An FFT Based Fast Poisson Solver on Spherical Shells

  Yin-Liang Huang, Jian-Guo Liu & Wei-Cheng Wang

  2011-03-05

  39245 4200 Pages:649-667

• Lattice Poisson-Boltzmann Simulations of Electroosmotic Flows in Charged Anisotropic Porous Media

  M. Wang, N. Pan, J. K. Wang & S. Y. Chen

  2007-02-01

  38438 4122 Pages:1055-1070

• Improved Randomized Neural Network Methods with Boundary Processing for Solving Elliptic Equations

  Huifang Zhou, Zhiqiang Sheng

  2025-11-07

  2596 119 Pages:147-184

• 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

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

  Jian-Nan Chen, Jun-Jie Zhang, Xue-Ming Li, Hai-Liang Qiao, Yong-Tao Zhao

  2024-06-14

  27857 1764 Pages:1387-1417

• Numerical Discretization of Variational Phase Field Model for Phase Transitions in Ferroelectric Thin Films

  Ruotai Li, Qiang Du, Lei Zhang

  2021-01-13

  47283 3406 Pages:729-746

• Parametric POD-Galerkin Model Order Reduction for Unsteady-State Heat Transfer Problems

  Sokratia Georgaka, Giovanni Stabile, Gianluigi Rozza, Michael J. Bluck

  2020-03-06

  70293 6736 Pages:1-32

• A Cartesian Grid-Based Boundary Integral Method for an Elliptic Interface Problem on Closely Packed Cells

  Wenjun Ying

  2020-07-31

  43976 3204 Pages:1196-1220

• Quantum Dynamics in Continuum for Proton Transport I: Basic Formulation

  Duan Chen & Guo-Wei Wei

  2013-01-05

  40900 4346 Pages:285-324

• A Modified Nonlocal Continuum Electrostatic Model for Protein in Water and Its Analytical Solutions for Ionic Born Models

  Dexuan Xie & Hans W. Volkmer

  2013-01-05

  40842 4331 Pages:174-194

• A Fast Direct Solver for a Class of 3-D Elliptic Partial Differential Equation with Variable Coefficient

  Beibei Huang, Bin Tu & Benzhuo Lu

  2012-12-01

  40127 4117 Pages:1148-1162

• An Implementation of MAC Grid-Based IIM-Stokes Solver for Incompressible Two-Phase Flows

  Zhijun Tan, K. M. Lim & B. C. Khoo

  2011-10-01

  39535 4404 Pages:1333-1362

• Direct Vlasov Solvers with High-Order Spectral Element Method

  Jin Xu, Brahim Mustapha, Peter Ostroumov & Jerry Nolen

  2010-08-01

  39410 4528 Pages:159-184

• A Finite Element Method for Modelling Electromechanical Wave Propagation in Anisotropic Piezoelectric Media

  S. Rahman, H. P. Langtangen & C. H. W. Barnes

  2018-03-24

  39274 3724 Pages:271-292