Search Results

• 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

  8018 134 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

  8046 113 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

  7001 535 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

  5398 478 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

  10947 984 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

  10860 1083 Pages:163-184

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

  Hongtao Chen, Tong Wang

  2024-09-27

  14838 1324 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

  14335 1297 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

  15245 1371 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

  24566 2145 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

  23505 1988 Pages:507-529

• A Nonconforming Virtual Element Method for the Elliptic Interface Problem

  Haimei Wang, Xianyan Zheng, Jinru Chen, Feng Wang

  2024-04-16

  21525 2019 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

  21196 2017 Pages:371-396

• Partitioned Dashnic-Zusmanovich Type Matric with Applications

  Wenlong Zeng, Jianzhou Liu

  2024-04-16

  21515 2018 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

  22065 2152 Pages:223-259

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

  Yixin Tan, Shengfeng Zhu

  2024-01-02

  28400 2675 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

  30023 3064 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

  28234 2633 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

  27553 2465 Pages:886-913

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

  Yuan-Yuan Huang, Siu-Long Lei

  2023-10-23

  26769 2637 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

  47203 3209 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

  46344 3227 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

  30343 2718 Pages:361-397

• Stability and Convergence of $L1$-Galerkin Spectral Methods for the Nonlinear Time Fractional Cable Equation

  Yanping Chen, Xiuxiu Lin, Mengjuan Zhang, Yunqing Huang

  2023-01-04

  41618 3990 Pages:22-46

• Stability of High-Order Finite-Difference Schemes for Poroelastic Wave Simulation

  Wensheng Zhang, Atish Kumar Joardar

  2022-08-17

  301606 3488 Pages:891-911

• A Deep Learning Method for Elliptic Hemivariational Inequalities

  Jianguo Huang, Chunmei Wang & Haoqin Wang

  2022-04-06

  59851 4089 Pages:487-502 Open-access

• Preconditioned CG Methods for a Variable-Coefficient Nonlocal Diffusion Model

  Yu-Hong Ran, Min Yan

  2022-02-21

  44421 3155 Pages:421-434