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

  Hongtao Chen, Tong Wang

  2024-09-27

  14658 1249 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

  14196 1262 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

  15127 1322 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

  24355 1976 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

  23424 1961 Pages:507-529

• A Nonconforming Virtual Element Method for the Elliptic Interface Problem

  Haimei Wang, Xianyan Zheng, Jinru Chen, Feng Wang

  2024-04-16

  21400 1983 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

  21102 1976 Pages:371-396

• Partitioned Dashnic-Zusmanovich Type Matric with Applications

  Wenlong Zeng, Jianzhou Liu

  2024-04-16

  21424 1997 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

  21969 2126 Pages:223-259

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

  Yixin Tan, Shengfeng Zhu

  2024-01-02

  28268 2584 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

  29866 2919 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

  28110 2572 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

  27424 2435 Pages:886-913

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

  Yuan-Yuan Huang, Siu-Long Lei

  2023-10-23

  26646 2607 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

  47071 3182 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

  46247 3193 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

  30247 2689 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

  41517 3929 Pages:22-46

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

  Wensheng Zhang, Atish Kumar Joardar

  2022-08-17

  301497 3455 Pages:891-911

• A Deep Learning Method for Elliptic Hemivariational Inequalities

  Jianguo Huang, Chunmei Wang & Haoqin Wang

  2022-04-06

  59745 4038 Pages:487-502 Open-access

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

  Yu-Hong Ran, Min Yan

  2022-02-21

  44350 3131 Pages:421-434

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

  Xu Li, Ning He

  2022-02-21

  47888 3238 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

  47542 3327 Pages:285-322

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

  Jiewen He, Hua Zheng, Seakweng Vong

  2021-10-25

  52264 4561 Pages:125-144

• Lump and Interaction Solutions of the (2+1)-Dimensional bSK Equation

  Hong-Cai Ma, Han-Fang Wu, Wen-Xiu Ma, Ai-Ping Deng

  2021-08-03

  46325 3213 Pages:674-685

• A Lattice Boltzmann Model for (2+1)-Dimensional Solitary and Periodic Waves of the Calogero-Bogoyavlenskii-Schiff Equation

  Huimin Wang

  2021-05-26

  44344 3132 Pages:580-593

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

  Yinghui Zhang, Xiaojuan Deng, Xing Zhao, Hongwei Li

  2021-02-23

  44245 3121 Pages:276-300