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

  Hongtao Chen, Tong Wang

  2024-09-27

  15035 1375 Pages:788-819

• $H^1$-Stability and Convergence of the FE, FV and FD Methods for an Elliptic Equation

  Yinnian He & Xinlong Feng

  2018-02-09

  40765 4345 Pages:154-170

• A New Fourth-Order Compact Off-Step Discretization for the System of 2D Nonlinear Elliptic Partial Differential Equations

  R. K. Mohanty, Nikita Setia

  2018-02-09

  37511 4872 Pages:59-82

• Sparse Grid Collocation Method for an Optimal Control Problem Involving a Stochastic Partial Differential Equation with Random Inputs

  Nary Kim, Hyung-Chun Lee

  2018-02-09

  36597 4279 Pages:166-188

• A Chebyshev Polynomial Neural Network Solver for Boundary Value Problems of Elliptic Equations

  Liujun Meng, Xuelin Zhang, Hanquan Wang

  2023-04-25

  30588 2997 Pages:230-245

• Recovering the Source Term in Elliptic Equation via Deep Learning: Method and Convergence Analysis

  Chenguang Duan, Yuling Jiao, Jerry Zhijian Yang, Pingwen Zhang

  2024-06-13

  29763 2114 Pages:460-489

• 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

• Neural Network Method for Integral Fractional Laplace Equations

  Zhaopeng Hao, Moongyu Park, Zhiqiang Cai

  2023-01-04

  40931 4213 Pages:95-118

• Fast Algorithms for Boundary Integral Equations on Elliptic Domains and Related Inverse Problems

  Weifu Fang, Fu-Rong Lin, Yan-Bo Ma

  2019-06-03

  41629 3246 Pages:485-505