Search Results

• Quasi-Periodic Breathers of the Hirota-Maccari System

  Mao-Wei Yin, Jian-Qing Sun

  2025-11-25

  489 63 Pages:505-526

• A New Multilevel Homotopic Adaptive Finite Element Algorithm for Convection-Dominated Diffusion-Reaction Problems

  Jie Zhang, Guozhu Yu, Xiaoping Xie

  2025-11-14

  7667 177 Pages:326-348

• A Fully Decoupled Linear Second-Order Energy Stable Numerical Scheme for the Moving Contact Line Problem

  Min Gao, Yi Shi

  2025-11-14

  7706 185 Pages:365-387

• The Quasi-Reversibility Regularization for Source Inversion of a Linear Kuramoto-Sivashinsky Equation

  Bin Hu, Xingyu Wang, Zewen Wang, Wen Zhang

  2025-11-10

  7875 195 Pages:413-426

• Error Analysis of $hp$ Spectral Element Approximation for Optimal Control Problems with Control Constraint

  Xiuxiu Lin, Yanping Chen, Yunqing Huang, Fangfang Qin

  2025-05-28

  8248 214 Pages:1-19

• Multi-View Data Clustering via Dynamical Optimization of Consensus Laplacian Matrix

  Senwen Zhan, Hao Jiang, Dong Shen, Wai-Ki Ching

  2025-05-27

  8263 210 Pages:20-44

• Local Structure Preserving Algorithms for Molecular Beam Epitaxial Models with Slope Selection Based on Energy Quadratization Method

  Lin Lu, Yongzhong Song, Yushun Wang

  2025-06-18

  7189 583 Pages:817-834

• A First-Order Image Super-Resolution Model Promoting Sharp Boundaries and Suppressing the Staircase Effect

  Wenli Yang, Zhongyi Huang, Wei Zhu

  2025-06-06

  5578 515 Pages:464-492

• A Direct Sampling Method Based on the Green’s Function for Time-Dependent Inverse Scattering Problems

  Qingqing Yu, Bo Chen, Jiaru Wang, Yao Sun

  2025-01-03

  11075 1072 Pages:205-224

• Long-Time Asymptotics for the Combined Nonlinear Schrödinger and Gerdjikov-Ivanov Equation

  Fuzhuang Zheng, Zhenyun Qin, Gui Mu, Tingyou Wang

  2025-01-03

  11011 1178 Pages:163-184

• Machine Learning Algorithm for the Monge-Ampère Equation with Transport Boundary Conditions

  Hongtao Chen, Tong Wang

  2024-09-27

  15028 1373 Pages:788-819

• Boundedness and Convergence Analysis of a Pi-Sigma Neural Network Based on Online Gradient Method and Sparse Optimization

  Qinwei Fan, Le Liu, Shuai Zhao, Zhiwen Zhang, Xiaofei Yang, Zhiwei Xing, Xingshi He

  2024-09-27

  14494 1338 Pages:769-787

• Double and Triple-Poles Soliton Solutions of Kundu-Type Equation with Zero/Nonzero Boundary Conditions

  Jin-Jin Mao, Shou-Fu Tian, Tian-Zhou Xu

  2024-09-27

  15384 1411 Pages:675-730

• Plasma-Simulation Physics Informed Neural Networks (PS-PINNs) for Global Discharge Models

  Heejae Kwon, Eunsuh Kim, Sungha Cho, Deuk-Chul Kwon, Hee-Hwan Choe, Minseok Choi

  2024-06-13

  24852 2312 Pages:636-656

• Real-Time Computing for a Parameterized Feedback Control Problem of Boussinesq Equations by POD and Deep Learning

  Guang-Ri Piao, Hyung-Chun Lee

  2024-06-13

  23629 2023 Pages:507-529

• A Nonconforming Virtual Element Method for the Elliptic Interface Problem

  Haimei Wang, Xianyan Zheng, Jinru Chen, Feng Wang

  2024-04-16

  21677 2059 Pages:397-417

• Two-Grid Methods for Maxwell’s Equations in a Cole-Cole Dispersive Medium

  Nuodi Liu, Yanping Chen, Yunqing Huang

  2024-04-16

  21326 2063 Pages:371-396

• Partitioned Dashnic-Zusmanovich Type Matric with Applications

  Wenlong Zeng, Jianzhou Liu

  2024-04-16

  21635 2068 Pages:342-370

• Advection-Pressure Splitting Schemes for the Equations of Blood Flow. Conservative and Non-Conservative Forms

  Eleuterio F. Toro, Annunziato Siviglia, Alessandra Spilimbergo, Lucas O. Müller

  2024-04-16

  22189 2198 Pages:223-259

• Numerical Shape Reconstruction for a Semi-Linear Elliptic Interface Inverse Problem

  Yixin Tan, Shengfeng Zhu

  2024-01-02

  28537 2782 Pages:147-178

• Less Emphasis on Hard Regions: Curriculum Learning of PINNs for Singularly Perturbed Convection-Diffusion-Reaction Problems

  Yufeng Wang, Cong Xu, Min Yang, Jin Zhang

  2024-01-02

  30184 3169 Pages:104-123

• A Diagonalization-Based Parallel-in-Time Algorithm for Crank-Nicolson’s Discretization of the Viscoelastic Equation

  Fu Li, Yingxiang Xu

  2024-01-02

  28369 2712 Pages:47-78

• Errors of an Implicit Variable-Step BDF2 Method for a Molecular Beam Epitaxial Model with Slope Selection

  Xuan Zhao, Haifeng Zhang, Hong Sun

  2023-10-23

  27705 2499 Pages:886-913

• A Mixed-Type Circulant Preconditioner for a Nonlocal Elastic Model

  Yuan-Yuan Huang, Siu-Long Lei

  2023-10-23

  26898 2672 Pages:791-812

• An Adaptive Finite Element DtN Method for Maxwell’s Equations

  Gang Bao, Mingming Zhang, Xue Jiang, Peijun Li, Xiaokai Yuan

  2023-06-12

  47333 3240 Pages:610-645

• High-Order Spectral Difference Gas-Kinetic Schemes for Euler and Navier-Stokes Equations

  Qing Xie, Xing Ji, Zihua Qiu, Chunlei Liang, Kun Xu

  2023-06-12

  46464 3267 Pages:499-523

• Stability and Convergence of Stabilized Finite Volume Iterative Methods for Steady Incompressible MHD Flows with Different Viscosities

  Xiaochen Chu, Chuanjun Chen, Tong Zhang

  2023-04-25

  30468 2748 Pages:361-397