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• Constructing Order Two Superconvergent WG Finite Elements on Rectangular Meshes

  Xiu Ye, Shangyou Zhang

  2023-01-13

  33772 3118 Pages:230-241

• A Multiple Scalar Auxiliary Variables Approach to the Energy Stable Scheme of the Moving Contact Line Problem

  Fengdai Kang, Zhen Zhang

  2020-03-09

  42958 2666 Pages:539-568

• An Algebraic Multigrid-Based Physical Factorization Preconditioner for the Multi-Group Radiation Diffusion Equations in Three Dimensions

  Xiaoqiang Yue, Zekai Zhang, Xiaowen Xu, Shuying Zhai, Shi Shu

  2023-04-10

  36939 2757 Pages:410-432

• New Rational Interpolation Basis Functions on the Unbounded Intervals and Their Applications

  Dong-Qin Gu, Zhong-Qing Wang, Chao Zhang

  2023-04-10

  37540 2932 Pages:453-488

• An Efficient Cartesian Grid-Based Method for Scattering Problems with Inhomogeneous Media

  Haixia Dong, Wenjun Ying, Jiwei Zhang

  2023-04-10

  36345 2632 Pages:541-564

• Character Modelling with Sketches and ODE-Based Shape Creation

  Ouwen Li, Haibin Fu, Shaojun Bian, Xiaosong Yang, Xiaogang Jin, Andres Iglesias, Algirdas Noreika, Lihua You, Jian Jun Zhang

  2023-08-29

  33313 2519 Pages:720-751

• The MFE-CFE-GFE Method for the Fully Coupled Quasi-Static Thermo-Poroelastic Problem

  Jing Zhang, Hongxing Rui

  2023-08-29

  28525 2401 Pages:792-819

• Novel High-Order Mass- and Energy-Conservative Runge-Kutta Integrators for the Regularized Logarithmic Schrödinger Equation

  Xu Qian, Hong Zhang, Jingye Yan, Songhe Song

  2023-11-07

  28138 2381 Pages:993-1012

• Multidomain Hybrid Direct DG and Central Difference Methods for Viscous Terms in Hyperbolic-Parabolic Equations

  Weixiong Yuan, Tiegang Liu, Bin Zhang, Kui Cao, Kun Wang

  2024-02-26

  28595 2878 Pages:1-36

• Enhancing RBF-FD Efficiency for Highly Non-Uniform Node Distributions via Adaptivity

  Siqing Li, Leevan Ling, Xin Liu, Pankaj K. Mishra, Mrinal K. Sen, Jing Zhang

  2024-05-11

  26266 2140 Pages:331-350

• A Study on CFL Conditions for the DG Solution of Conservation Laws on Adaptive Moving Meshes

  Min Zhang, Weizhang Huang, Jianxian Qiu

  2023-01-13

  35019 3225 Pages:111-139

• Maximum-Principle-Preserving High-Order Conservative Difference Schemes for Convection-Dominated Diffusion Equations

  Lele Liu, Hong Zhang, Xu Qian, Songhe Song

  2024-12-11

  12252 1264 Pages:855-881

• New Log Basis Functions with a Scaling Factor and Their Applications

  Dong-Qin Gu, Dongya Tao, Chao Zhang

  2024-12-11

  12113 1329 Pages:1018-1040

• A Second Order Accurate in Time, Energy Stable Finite Element Scheme for a Liquid Thin Film Coarsening Model

  Maoqin Yuan, Lixiu Dong, Juan Zhang

  2025-04-06

  7000 705 Pages:127-156

• A Divergence-Free $P_k$ CDG Finite Element for the Stokes Equations on Triangular and Tetrahedral Meshes

  Xiu Ye, Shangyou Zhang

  2025-04-06

  7015 717 Pages:157-174

• L1 Schemes for Time-Fractional Differential Equations: A Brief Survey and New Development

  Jingjing Xiao, Yanping Chen, Fanhai Zeng, Zhongqiang Zhang

  2025-05-16

  7641 666 Pages:544-574

• On the Criteria for Online Updating of Basis Functions for Model Order Reduction Techniques

  Han Zhang, Zhiyong Wang, Zihao Mou, Taidong Niu, Helin Gong

  2025-09-01

  5169 409 Pages:619-649

• Approximate Method for Computing Hypersingular Integrals with Oscillatory Kernels

  Yuxin Zhang, Jin Li, Mengyao Yu

  2025-09-01

  5028 408 Pages:771-793

• Uncertainty Quantification with Physics-Informed Generative Process Distributions for the Linear Diffusion Equation

  Wei Zhang, Hui Xie, Tengchao Yu, Heng Yong

  2025-09-01

  5223 424 Pages:794-816

• Entirely Exponential-Type Scheme (E2S) for Optimization Problems with Singularly Perturbed ODE Constraints: The Model Problem

  Mengyu Li, Tiegang Liu, Kui Cao, Chengliang Feng, Bin Zhang, Weixiong Yuan

  2025-09-01

  5117 420 Pages:817-844

• A Moving Mesh Isogeometric Method Based on Harmonic Maps

  Tao Wang, Xucheng Meng, Ran Zhang, Guanghui Hu

  2025-10-22

  5684 389 Pages:903-926

• Stability and Optimal Error Estimates Analysis of an LDG Method for the Stochastic Nonlinear KdV Equation

  Xuewei Liu, Zhenyu Wang, Xiaohua Ding, Shao-Liang Zhang

  2025-12-23

  356 120 Pages:192-218

• A Fast Compact Block-Centered Finite Difference Method on Graded Meshes for Time-Fractional Reaction-Diffusion Equations and Its Robust Analysis

  Li Ma, Hongfei Fu, Bingyin Zhang, Shusen Xie

  2024-05-11

  21514 1666 Pages:429-462

• PPIFE Method with Non-Homogeneous Flux Jump Conditions and Its Efficient Numerical Solver for Elliptic Optimal Control Problems with Interfaces

  Quanxiang Wang, Zhiyue Zhang, Enlai Zheng

  2020-03-16

  44880 2850 Pages:719-744

• A QMC-Deep Learning Method for Diffusivity Estimation in Random Domains

  Liyao Lyu, Zhiwen Zhang, Jingrun Chen

  2020-12-02

  52850 2985 Pages:908-927

• Regularized DPSS Preconditioners for Singular Saddle Point Problems

  Yong Qian, Guofeng Zhang, Zhaozheng Liang

  2020-12-02

  48513 2935 Pages:986-1006

• On the Construction and Analysis of Finite Volume Element Schemes with Optimal $L^2$ Convergence Rate

  Xiang Wang, Yuqing Zhang

  2020-10-09

  47701 3715 Pages:47-70