Search Results

• 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

• Theoretical Guarantees of Recovery Algorithms for Ternary Sparse Signals

  Hanbing Liu, Chongjun Li

  2025-11-05

  413 123 Pages:39-79

• 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 Novel Semi-Analytical Multiple Invariants-Preserving Integrator for Conservative PDEs

  Wei Shi, Bin Wang, Kai Liu

  2026-01-21

  71 108

• Analysis and Efficient Implementation of Quadratic Spline Collocation ADI Methods for Variable-Order Time-Fractional Mobile-Immobile Diffusion Equations

  Jun Liu, Hongfei Fu, Bingyin Zhang, Jiansong Zhang

  2025-04-06

  6949 687 Pages:226-258

• The Direct Discontinuous Galerkin Method with Explicit-Implicit-Null Time Discretizations for Nonlinear Diffusion Equations

  Yumiao Li, Yin Yang, Tiegang Liu, Weixiong Yuan, Kui Cao

  2025-04-06

  7116 689 Pages:175-198

• The Stabilized Finite Element Method for the Cahn-Hilliard Phase-Field Model of Diblock Copolymers on Evolving Surfaces

  Lulu Liu, Xufeng Xiao, Xinlong Feng

  2025-04-06

  6920 764 Pages:103-126

• A Stabilized Physics Informed Neural Networks Method for Wave Equations

  Yuling Jiao, Yuhui Liu, Jerry Zhijian Yang, Cheng Yuan

  2024-12-11

  11868 1402 Pages:1100-1127

• 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

• A Priori Error Estimate of Nonconforming Virtual Element Method for Convection Dominated Diffusion Equation

  Qiming Wang, Zhaojie Zhou, Wenbin Liu

  2024-08-30

  17637 1452 Pages:827-854

• A Stabilizer Free Weak Galerkin Finite Element Method for Elliptic Equation with Lower Regularity

  Yiying Wang, Yongkui Zou, Xuan Liu, Chenguang Zhou

  2024-05-11

  21172 1752 Pages:514-533

• Convergence and Stability of the Truncated Euler-Maruyama Method for Stochastic Differential Equations with Piecewise Continuous Arguments

  Yidan Geng, Minghui Song, Yulan Lu, Mingzhu Liu

  2020-10-09

  48201 3782 Pages:194-218

• 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

• 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

• An Alternating Direction Method of Multipliers for Inverse Lithography Problem

  Junqing Chen, Haibo Liu

  2023-08-29

  29262 2442 Pages:820-846

• Absorbing Interface Conditions for the Simulation of Wave Propagation on Non-Uniform Meshes

  Changshi Li, Yuhui Liu, Fengru Wang, Jerry Zhijian Yang, Cheng Yuan

  2023-04-10

  37387 2712 Pages:433-452

• An Adaptive Physics-Informed Neural Network with Two-Stage Learning Strategy to Solve Partial Differential Equations

  Shuyan Shi, Ding Liu, Ruirui Ji, Yuchao Han

  2023-04-10

  40208 3156 Pages:298-322

• Efficient Hermite Spectral-Galerkin Methods for Nonlocal Diffusion Equations in Unbounded Domains

  Huiyuan Li, Ruiqing Liu, Li-Lian Wang

  2023-01-21

  37185 2985 Pages:1009-1040

• Long Time Energy and Kinetic Energy Conservations of Exponential Integrators for Highly Oscillatory Conservative Systems

  Ting Li, Changying Liu, Bin Wang

  2022-07-19

  39274 3007 Pages:620-640

• Symmetric-Adjoint and Symplectic-Adjoint Runge-Kutta Methods and Their Applications

  Geng Sun, Siqing Gan, Hongyu Liu, Zaijiu Shang

  2022-03-23

  45848 3003 Pages:304-335

• Linearized Double-Shock Approximate Riemann Solver for Augmented Linear Elastic Solid

  Zhiqiang Zeng, Chengliang Feng, Changsheng Yu, Tiegang Liu

  2022-02-09

  43839 3708 Pages:141-164

• An Efficient Variational Model for Multiplicative Noise Removal

  Min Liu, Xiliang Lu

  2022-02-09

  44297 4394 Pages:125-140

• Generalized Rough Polyharmonic Splines for Multiscale PDEs with Rough Coefficients

  Xinliang Liu, Lei Zhang, Shengxin Zhu

  2021-09-10

  47972 2762 Pages:862-892

• A Parameterized Class of Complex Nonsymmetric Algebraic Riccati Equations

  Liqiang Dong, Jicheng Li, Xuenian Liu

  2021-06-02

  47685 2849 Pages:650-691

• Stability and Convergence of the Integral-Averaged Interpolation Operator Based on $Q_1$-Element in $\mathbb{R}^n$

  Yaru Liu, Yinnian He, Xinlong Feng

  2024-05-11

  20942 1742 Pages:494-513