Search Results

• Computational Study on Hysteresis of Ion Channels: Multiple Solutions to Steady-State Poisson-Nernst-Planck Equations

  Jie Ding, Hui Sun, Zhongming Wang & Shenggao Zhou

  2018-08-21

  47008 3606 Pages:1549-1572

• Pseudospectral Methods for Computing the Multiple Solutions of the Schrödinger Equation

  Zhao-Xiang Li, Ji Lao & Zhong-Qing Wang

  2018-08-21

  47629 3143 Pages:822-845

• Mathematical Aspects Relative to the Fluid Statics of a Self-Gravitating Perfect-Gas Isothermal Sphere

  Pierluigi Amodio, Domenico Giordano, Felice Iavernaro, Arcangelo Labianca, Monica Lazzo, Francesca Mazzia, Lorenzo Pisani

  2020-07-21

  46833 3164 Pages:1085-1104

• Solution of Cauchy Problems by the Multiple Scale Method of Particular Solutions Using Polynomial Basis Functions

  Ji Lin, Yuhui Zhang, Thir Dangal & C. S. Chen

  2018-09-17

  44414 3548 Pages:1409-1434

• 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

• Data Generation-Based Operator Learning for Solving Partial Differential Equations on Unbounded Domains

  Jihong Wang, Xin Wang, Jing Li, Bin Liu

  2025-05-29

  194 50 Pages:1383-1416

• A Semi-Implicit Fractional Step Method Immersed Boundary Method for the Numerical Simulation of Natural Convection Non-Boussinesq Flows

  Dmitry Zviaga, Ido Silverman, Alexander Gelfgat, Yuri Feldman

  2022-09-29

  40997 3201 Pages:737-778

• Do Current Lattice Boltzmann Methods for Diffusion and Advection-Diffusion Equations Respect Maximum Principle and the Non-Negative Constraint?

  S. Karimi & K. B. Nakshatrala

  2018-04-04

  39611 3172 Pages:374-404

• Subspace Methods in Multi-Parameter Seismic Full Waveform Inversion

  Yu Geng, Kristopher A. Innanen, Wenyong Pan

  2020-06-05

  51708 4559 Pages:228-248

• Simulation of Propagating Acoustic Wavefronts with Random Sound Speed

  Sheri L. Martinelli

  2014-10-08

  41399 3993 Pages:1081-1101

• The Mass-Preserving S-DDM Scheme for Two-Dimensional Parabolic Equations

  Zhongguo Zhou & Dong Liang

  2018-04-03

  41440 3197 Pages:411-441

• A Generalized Numerical Approach for Modeling Multiphase Flow and Transport in Fractured Porous Media

  Yu-Shu Wu & Guan Qin

  2009-06-01

  38894 4393 Pages:85-108

• 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

  162 62 Pages:521-550

• GPU Accelerated Discontinuous Galerkin Methods for Shallow Water Equations

  Rajesh Gandham, David Medina & Timothy Warburton

  2018-04-03

  42400 4524 Pages:37-64

• Two-Fluid Formulation of Lower-Hybrid Drift Instabilities in Current-Sheet Equilibrium with a Guide Field

  W. Zhang, Z. Lin, P. H. Yoon & X. Wang

  2008-09-05

  38914 3901 Pages:719-728

• A Second-Order Implicit-Explicit Scheme for the Baroclinic-Barotropic Split System of Primitive Equations

  Rihui Lan, Lili Ju, Zhu Wang, Max Gunzburger

  2023-12-11

  32708 2551 Pages:1306-1331

• Physics-Driven Learning of the Steady Navier-Stokes Equations Using Deep Convolutional Neural Networks

  Hao Ma, Yuxuan Zhang, Nils Thuerey, Xiangyu Hu, Oskar J. Haidn

  2022-09-29

  42625 3275 Pages:715-736

• Frame Invariance and Scalability of Neural Operators for Partial Differential Equations

  Muhammad I. Zafar, Jiequn Han, Xu-Hui Zhou, Heng Xiao

  2022-08-11

  303702 3397 Pages:336-363

• Kinetic Slip Boundary Condition for Isothermal Rarefied Gas Flows Through Static Non-Planar Geometries Based on the Regularized Lattice-Boltzmann Method

  Jean-Michel Tucny, David Vidal, Sébastien Leclaire, François Bertrand

  2022-03-03

  45290 3130 Pages:816-868

• Consistent Forcing Scheme in the Simplified Lattice Boltzmann Method for Incompressible Flows

  Yuan Gao, Liuming Yang, Yang Yu, Guoxiang Hou, Zhongbao Hou

  2021-10-26

  47219 3289 Pages:1427-1452

• Extended Physics-Informed Neural Networks (XPINNs): A Generalized Space-Time Domain Decomposition Based Deep Learning Framework for Nonlinear Partial Differential Equations

  Ameya D. Jagtap, George Em Karniadakis

  2020-11-18

  147761 6053 Pages:2002-2041

• 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

  73632 3621 Pages:1970-2001

• Central WENO Subcell Finite Volume Limiters for ADER Discontinuous Galerkin Schemes on Fixed and Moving Unstructured Meshes

  Walter Boscheri, Matteo Semplice & Michael Dumbser

  2018-10-11

  46588 3514 Pages:311-346

• A Parallel, High-Order Direct Discontinuous Galerkin Method for the Navier-Stokes Equations on 3D Hybrid Grids

  Jian Cheng, Xiaodong Liu, Tiegang Liu, Hong Luo

  2018-04-09

  42252 3251 Pages:1231-1257

• Computational Study of Traveling Wave Solutions of Isothermal Chemical Systems

  Yuanwei Qi & Yi Zhu

  2020-07-31

  83 26 Pages:1461-1472

• An Adaptive ANOVA-Based Data-Driven Stochastic Method for Elliptic PDEs with Random Coefficient

  Zhiwen Zhang, Xin Hu, Thomas Y. Hou, Guang Lin & Mike Yan

  2014-12-08

  39540 3893 Pages:571-598

• Multiscale Modeling and Simulations of Flows in Naturally Fractured Karst Reservoirs

  Peter Popov, Yalchin Efendiev & Guan Qin

  2009-06-01

  38674 4554 Pages:162-184