Search Results

• A Multi-Scale DNN Algorithm for Nonlinear Elliptic Equations with Multiple Scales

  Xi-An Li, Zhi-Qin John Xu, Lei Zhang

  2020-11-18

  67104 3635 Pages:1886-1906

• A Compressible Conserved Discrete Unified Gas-Kinetic Scheme with Unstructured Discrete Velocity Space for Multi-Scale Jet Flow Expanding into Vacuum Environment

  Jianfeng Chen, Sha Liu, Yong Wang, Chengwen Zhong

  2020-08-27

  49166 3260 Pages:1502-1535

• Nonlocal Wave Propagation in Unbounded Multi-Scale Media

  Qiang Du, Jiwei Zhang & Chunxiong Zheng

  2020-07-31

  44137 3259 Pages:1049-1072

• Multi-Scale Deep Neural Network (MscaleDNN) Methods for Oscillatory Stokes Flows in Complex Domains

  Bo Wang, Wenzhong Zhang, Wei Cai

  2020-11-18

  64184 3294 Pages:2139-2157

• A Mixed Wavelet-Learning Method of Predicting Macroscopic Effective Heat Transfer Conductivities of Braided Composite Materials

  Hao Dong, Wenbo Kou, Junyan Han, Jiale Linghu, Minqiang Zou, Junzhi Cui

  2022-01-27

  42957 3240 Pages:593-625

• A Dynamical Concurrent Multiscale Method Employing a Transmitting Boundary to Minimize Wave Reflections at the Domain Interface

  Abhishek Vishwanath Rammohan, Vincent Beng Chye Tan

  2020-02-23

  46355 3080 Pages:1115-1139

• 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

• Simulation of Flow in Multi-Scale Porous Media Using the Lattice Boltzmann Method on Quadtree Grids

  Lei Zhang, Qinjun Kang, Li Chen & Jun Yao

  2018-04-04

  41245 3158 Pages:998-1014

• Heterogeneous Multiscale Methods: A Review

  W. E, B. Engquist, X. Li, W. Ren & E. Vanden-Eijnden

  2007-02-01

  47453 5354 Pages:367-450 Open-access

• A Unified Gas Kinetic Scheme for Continuum and Rarefied Flows V: Multiscale and Multi-Component Plasma Transport

  Chang Liu & Kun Xu

  2017-11-02

  52358 3632 Pages:1175-1223

• Harmonic Surface Mapping Algorithm for Electrostatic Potentials in an Atomistic/Continuum Hybrid Model for Electrolyte Solutions

  Jing Fu, Zecheng Gan

  2020-12-02

  45465 3271 Pages:571-587

• A Correction and Comments on “Multi-Scale Deep Neural Network (MscaleDNN) for Solving Poisson-Boltzmann Equation in Complex Domains CiCP, 28 (5): 1970–2001, 2020”

  Lulu Zhang, Wei Cai, Zhi-Qin John Xu

  2023-06-06

  40372 2813 Pages:1509-1513

• Multi-Scale Modeling and Numerical Simulation for CVI Process

  Yun Bai, Xingye Yue & Qingfeng Zeng

  2010-07-01

  39717 4055 Pages:597-612

• Adaptive Neural Network Basis Methods for Partial Differential Equations with Low-Regular Solutions

  Jianguo Huang, Haohao Wu, Tao Zhou

  2025-11-28

  913 40 Pages:553-577

• High Order Multiscale Methods for Advection-Diffusion Equation in Highly Oscillatory Regimes: Application to Surfactant Diffusion and Generalization to Arbitrary Domains

  Clarissa Astuto

  2025-05-29

  195 57 Pages:1327-1357

• Long Time Behaviour of an Exponential Integrator for a Vlasov-Poisson System with Strong Magnetic Field

  Emmanuel Frénod, Sever A. Hirstoaga, Mathieu Lutz, Eric Sonnendrücker

  2018-04-03

  38860 3173 Pages:263-296

• 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

• A Unified Gas-Kinetic Scheme for Continuum and Rarefied Flows II: Multi-Dimensional Cases

  Juan-Chen Huang, Kun Xu & Pubing Yu

  2012-12-01

  40804 4138 Pages:662-690

• Magnetohydrodynamics with Implicit Plasma Simulation

  J. U. Brackbill & G. Lapenta

  2008-09-05

  39109 3743 Pages:433-456

• Second-Order Two-Scale Computational Method for Nonlinear Dynamic Thermo-Mechanical Problems of Composites with Cylindrical Periodicity

  Hao Dong, Junzhi Cui, Yufeng Nie & Zihao Yang

  2018-04-09

  43106 3267 Pages:1173-1206

• 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

  41967 3210 Pages:338-374

• Neutron Discrete Velocity Boltzmann Equation and Its Finite Volume Lattice Boltzmann Scheme

  Yahui Wang, Ming Xie & Yu Ma

  2019-01-10

  46446 3841 Pages:1446-1468

• An Implicit Discrete Unified Gas-Kinetic Scheme for Simulations of Steady Flow in All Flow Regimes

  Dongxin Pan, Chengwen Zhong & Congshan Zhuo

  2019-01-10

  47381 3827 Pages:1469-1495

• Vectorial Kinetic Relaxation Model with Central Velocity. Application to Implicit Relaxations Schemes

  David Coulette, Clémentine Courtès, Emmanuel Franck, Laurent Navoret

  2020-02-23

  48969 3316 Pages:976-1013