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  • Moment-Based Multi-Resolution HWENO Scheme for Hyperbolic Conservation Laws

    Jiayin Li, Chi-Wang Shu, Jianxian Qiu
    2022-08-11
    303127 3368 Pages:364-400
  • A Symplectic Based Neural Network Algorithm for Quantum Controls under Uncertainty

    Jingshi Li, Song Chen, Lijin Wang, Yanzhao Cao
    2022-05-06
    43749 3404 Pages:1525-1545
  • An Augmented Lagrangian Deep Learning Method for Variational Problems with Essential Boundary Conditions

    Jianguo Huang, Haoqin Wang, Tao Zhou
    2022-03-03
    50710 3358 Pages:966-986
  • Mesh Adaptation for Curing the Pathological Behaviors of an Upwind Scheme

    Yifan Xia, Jianjing Zheng, Jianfeng Zou, Jifa Zhang, Gaofeng Wang, Yao Zheng
    2022-01-27
    42785 3288 Pages:626-644
  • Layer-Splitting Methods for Time-Dependent Schrödinger Equations of Incommensurate Systems

    Ting Wang, Huajie Chen, Aihui Zhou, Yuzhi Zhou
    2021-10-26
    49890 3329 Pages:1474-1498
  • Field Model for Complex Ionic Fluids: Analytical Properties and Numerical Investigation

    Jian-Guo Liu, Jinhuan Wang, Yu Zhao, Zhennan Zhou
    2021-07-01
    48040 3272 Pages:874-902
  • Dissipative and Conservative Local Discontinuous Galerkin Methods for the Fornberg-Whitham Type Equations

    Qian Zhang, Yan Xu, Chi-Wang Shu
    2021-05-25
    50986 3313 Pages:321-356
  • A Simple 3D Immersed Interface Method for Stokes Flow with Singular Forces on Staggered Grids

    Weiyi Wang, Zhijun Tan
    2021-04-30
    49254 4953848 Pages:227-254
  • An Augmented Lagrangian Uzawa Iterative Method for Solving Double Saddle-Point Systems with Semidefinite (2,2) Block and Its Application to DLM/FD Method for Elliptic Interface Problems

    Cheng Wang, Pengtao Sun
    2021-04-30
    49388 4694 Pages:124-143
  • Non-Intrusive Reduced Order Modeling of Convection Dominated Flows Using Artificial Neural Networks with Application to Rayleigh-Taylor Instability

    Zhen Gao, Qi Liu, Jan S. Hesthaven, Bao-Shan Wang, Wai Sun Don, Xiao Wen
    2021-04-30
    50093 4592 Pages:97-123
  • A Mixed Finite Element Scheme for Quad-Curl Source and Eigenvalue Problems

    Huangxin Chen, Jingzhi Li, Weifeng Qiu, Chao Wang
    2021-02-25
    45885 3431 Pages:1125-1151
  • High-Order Runge-Kutta Discontinuous Galerkin Methods with a New Type of Multi-Resolution WENO Limiters on Tetrahedral Meshes

    Jun Zhu, Chi-Wang Shu, Jianxian Qiu
    2021-02-25
    45859 3336 Pages:1030-1058
  • A Third Order BDF Energy Stable Linear Scheme for the No-Slope-Selection Thin Film Model

    Yonghong Hao, Qiumei Huang, Cheng Wang
    2021-01-13
    47424 3536 Pages:905-929
  • Structure-Preserving Numerical Methods for Stochastic Poisson Systems

    Jialin Hong, Jialin Ruan, Liying Sun, Lijin Wang
    2021-01-13
    47551 3430 Pages:802-830
  • A Nodal Finite Element Method for a Thermally Coupled Eddy-Current Problem with Moving Conductors

    Zezhong Wang, Qiya Hu
    2021-01-13
    44833 3331 Pages:767-801
  • A Coupled Discrete Unified Gas-Kinetic Scheme for Convection Heat Transfer in Porous Media

    Peiyao Liu, Peng Wang, Long Jv, Zhaoli Guo
    2020-11-26
    47102 4575 Pages:265-291
  • A Kernel Based Unconditionally Stable Scheme for Nonlinear Parabolic Partial Differential Equations

    Kaipeng Wang, Andrew Christlieb, Yan Jiang, Mengping Zhang
    2020-11-26
    46446 4465 Pages:237-264
  • Analysis and Application of Single Level, Multi-Level Monte Carlo and Quasi-Monte Carlo Finite Element Methods for Time-Dependent Maxwell's Equations with Random Inputs

    Xiang Wang, Jichun Li, Zhiwei Fang
    2020-11-26
    46322 4277 Pages:211-236
  • Localized Exponential Time Differencing Method for Shallow Water Equations: Algorithms and Numerical Study

    Xucheng Meng, Thi-Thao-Phuong Hoang, Zhu Wang, Lili Ju
    2020-11-26
    48005 4649 Pages:80-110
  • Learning to Discretize: Solving 1D Scalar Conservation Laws via Deep Reinforcement Learning

    Yufei Wang, Ziju Shen, Zichao Long, Bin Dong
    2020-11-18
    62672 3497 Pages:2158-2179
  • Multi-Scale Deep Neural Network (MscaleDNN) Methods for Oscillatory Stokes Flows in Complex Domains

    Bo Wang, Wenzhong Zhang, Wei Cai
    2020-11-18
    64572 3363 Pages:2139-2157
  • Convolution Neural Network Shock Detector for Numerical Solution of Conservation Laws

    Zheng Sun, Shuyi Wang, Lo-Bin Chang, Yulong Xing, Dongbin Xiu
    2020-11-18
    64101 3617 Pages:2075-2108
  • 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
    49401 3324 Pages:1502-1535
  • A Kernel-Independent Treecode Based on Barycentric Lagrange Interpolation

    Lei Wang, Robert Krasny, Svetlana Tlupova
    2020-08-27
    51142 4450 Pages:1415-1436 Open-access
  • A Novel Strong-Coupling Pseudo-Spectral Method for Numerical Studies of Two-Layer Turbulent Channel Flows

    Tong Wu, Zixuan Yang, Shizhao Wang, Guowei He
    2020-07-21
    46938 3167 Pages:1133-1146
  • A Positivity-Preserving Second-Order BDF Scheme for the Cahn-Hilliard Equation with Variable Interfacial Parameters

    Lixiu Dong, Cheng Wang, Hui Zhang, Zhengru Zhang
    2020-07-21
    49445 3275 Pages:967-998
  • Super-Closeness Between the Ritz Projection and the Finite Element Solution for Some Elliptic Problems

    Ruosi Liang, Yue Yan, Wenbin Chen, Yanqiu Wang
    2020-06-05
    47420 3187 Pages:803-826
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