Search Results

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

  Jie Zhang, Guozhu Yu, Xiaoping Xie

  2025-11-14

  7674 179 Pages:326-348

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

  Bin Hu, Xingyu Wang, Zewen Wang, Wen Zhang

  2025-11-10

  7880 196 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

  8253 222 Pages:1-19

• 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

  7198 584 Pages:817-834

• 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

  14499 1338 Pages:769-787

• 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

  24858 2320 Pages:636-656

• A Nonconforming Virtual Element Method for the Elliptic Interface Problem

  Haimei Wang, Xianyan Zheng, Jinru Chen, Feng Wang

  2024-04-16

  21679 2062 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

  21327 2068 Pages:371-396

• 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

  30190 3177 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

  28371 2715 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

  27711 2502 Pages:886-913

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

  Yuan-Yuan Huang, Siu-Long Lei

  2023-10-23

  26901 2673 Pages:791-812

• 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

  30471 2754 Pages:361-397

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

  Wensheng Zhang, Atish Kumar Joardar

  2022-08-17

  301735 3528 Pages:891-911

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

  Yu-Hong Ran, Min Yan

  2022-02-21

  44536 3192 Pages:421-434

• Shift-Splitting Iteration Method and Its Variants for Solving Continuous Sylvester Equations

  Xu Li, Ning He

  2022-02-21

  48120 3314 Pages:367-380

• Band-Times-Circulant Preconditioners for Non-Symmetric Real Toeplitz Systems with Unknown Generating Function

  Thaniporn Chaysri, Apostolos Hadjidimos, Dimitrios Noutsos, Grigorios Tachyridis

  2022-02-21

  47779 3402 Pages:285-322

• Improved Inexact Alternating Direction Methods for a Class of Nonlinear Complementarity Problems

  Jiewen He, Hua Zheng, Seakweng Vong

  2021-10-25

  52520 4702 Pages:125-144

• A Restricted Linearised Augmented Lagrangian Method for Euler's Elastica Model

  Yinghui Zhang, Xiaojuan Deng, Xing Zhao, Hongwei Li

  2021-02-23

  44450 3181 Pages:276-300

• A Weak Galerkin Finite Element Method for $p$-Laplacian Problem

  Xiu Ye, Shangyou Zhang

  2021-02-23

  53406 3417 Pages:219-233

• Efficient Hermite Spectral Methods for Space Tempered Fractional Diffusion Equations

  Tengteng Cui, Sheng Chen, Yujian Jiao

  2020-11-24

  46037 4515 Pages:43-62

• Convergence of Finite Difference Method in Positive Time for Multi-Term Time Fractional Differential Equations

  Haili Qiao, Aijie Cheng

  2020-08-15

  49121 3213 Pages:774-785

• A New Second-Order One-Step Scheme for Solving Decoupled FBSDES and Optimal Error Estimates

  Yang Li, Jie Yang, Weidong Zhao

  2020-04-01

  42395 3211 Pages:354-380

• TTSCSP-Based Iteration Methods for Complex Weakly Nonlinear Systems

  Tahereh Salimi Siahkolaei, Davod Khojasteh Salkuyeh

  2020-05-04

  43119 4771 Pages:1-21

• A Fourier Method to Recover Elastic Sources with Multi-Frequency Data

  Minghui Song, Xianchao Wang

  2019-03-26

  40310 3133 Pages:369-385

• Compact Difference Scheme for Time-Fractional Fourth-Order Equation with First Dirichlet Boundary Condition

  Mingrong Cui

  2019-01-07

  41753 5416 Pages:45-66

• Stochastic Collocation Methods via Minimisation of the Transformed L1-Penalty

  Ling Guo, Jing Li, Yongle Liu

  2018-09-17

  37749 3081 Pages:566-585