Search Results

• Asymptotic Expansion Regularization for Inverse Source Problems in Two-Dimensional Singularly Perturbed Nonlinear Parabolic PDEs

  Dmitrii Chaikovskii, Aleksei Liubavin, Ye Zhang

  2023-10-26

  27466 2524 Pages:721-757

• A Multi-Frequency Sampling Method for the Inverse Source Problems with Sparse Measurements

  Xiaodong Liu, Shixu Meng

  2023-10-26

  29631 2682 Pages:653-671

• A priori Error Analysis of a Discontinuous Galerkin Method for Cahn–Hilliard–Navier–Stokes Equations

  Chen Liu, Béatrice Rivière

  2020-04-30

  62723 5129 Pages:104-141

• Convergence Analysis on a Structure-Preserving Numerical Scheme for the Poisson-Nernst-Planck-Cahn-Hilliard System

  Yiran Qian, Cheng Wang, Shenggao Zhou

  2023-02-14

  33133 3056 Pages:345-380

• A Theoretically Complete Surface Segmentation Method for CNC Subtractive Fabrication

  Hong-Yu Ma, Chun-Ming Yuan, Li-Yong Shen, Yi-Fei Feng

  2023-02-14

  33330 3188 Pages:325-344

• Relaxed Alternating Minimization Algorithm for Separable Convex Programming with Applications to Imaging

  Shuangshuang Wu, Yuchao Tang, Tieyong Zeng

  2022-11-07

  294796 3135 Pages:626-661

• Revisiting Parallel Splitting Augmented Lagrangian Method: Tight Convergence and Ergodic Convergence Rate

  Fan Jiang, Bingyan Lu, Zhongming Wu

  2024-11-29

  12943 1206 Pages:884-913

• An Efficient Threshold Dynamics Method for Topology Optimization for Fluids

  Huangxin Chen, Haitao Leng, Dong Wang, Xiao-Ping Wang

  2022-03-03

  44261 4143 Pages:26-56

• Enforcing Exact Boundary and Initial Conditions in the Deep Mixed Residual Method

  Liyao Lyu, Keke Wu, Rui Du, Jingrun Chen

  2021-11-29

  40879 3473 Pages:748-775

• Subspace Methods for Nonlinear Optimization

  Xin Liu, Zaiwen Wen, Ya-Xiang Yuan

  2021-11-29

  43367 4000 Pages:585-651

• A Derivative-Free Geometric Algorithm for Optimization on a Sphere

  Yannan Chen, Min Xi, Hongchao Zhang

  2020-12-31

  40618 3759 Pages:766-801

• Towards a Mathematical Understanding of Neural Network-Based Machine Learning: What We Know and What We Don't

  Weinan E, Chao Ma, Lei Wu, Stephan Wojtowytsch

  2020-12-31

  50426 4560 Pages:561-615

• On the Banach Spaces Associated with Multi-Layer ReLU Networks: Function Representation, Approximation Theory and Gradient Descent Dynamics

  Weinan E, Stephan Wojtowytsch

  2020-09-25

  43957 3854 Pages:387-440

• Optimality Conditions for Constrained Minimax Optimization

  Yu-Hong Dai, Liwei Zhang

  2020-07-01

  45167 4313 Pages:296-315

• Analysis of Coarse-Grained Lattice Models and Connections to Nonlocal Interactions

  Qiang Du, Xiantao Li, Liming Yuan

  2020-04-30

  60009 4688 Pages:155-185

• An Implicit Evaluation Method of Vector 2-Norms Arising from Sphere Constrained Quadratic Optimizations

  T. Sogabe, A. Suzuki, S.-L. Zhang

  2020-04-30

  59867 4543 Pages:142-154

• Implicit Bias in Understanding Deep Learning for Solving PDEs Beyond Ritz-Galerkin Method

  Jihong Wang, Zhi-Qin John Xu, Jiwei Zhang, Yaoyu Zhang

  2022-05-30

  38447 3289 Pages:299-317

• Optical Wave Turbulence: The Conformal Symmetry Transformations of Statistics of the Quantum Fluids of Light

  V. N. Grebenev

  2026-01-25

  1005 185 Pages:62-85

• Superconvergence Points of Several Polynomial and Nonpolynomial Hermite Spectral Interpolations

  Min Wang, Zhimin Zhang

  2026-01-25

  806 181 Pages:146-177

• Curvilinear Mask Optimization for Inverse Lithography Based on B-splines and Constrained Delaunay Triangulation

  Xiaoru Yi, Junqing Chen

  2026-03-31

  68 44

• Thermodynamics of Freshwater Production via CuS-Infused Porous Membrane Solar Absorber in Seawater Desalination

  A. E. Makinde, O. D. Makinde, M. Maaza, T. Mokrani

  2026-03-01

  787 134 Pages:383-405

• Random Regularity of the Vlasov-Poisson System with Random Initial Inputs in the Quasineutral Regime

  Wenyi Wang, Yiwen Lin

  2026-03-26

  106 37

• A Neural Network Framework for High-Dimensional Dynamic Unbalanced Optimal Transport

  Wei Wan, Jiangong Pan, Yuejin Zhang, Chenglong Bao, Zuoqiang Shi

  2026-01-05

  274 90

• Interface Laplace Learning: Learnable Interface Term Helps Semi-Supervised Learning

  Tangjun Wang, Chenglong Bao, Zuoqiang Shi

  2025-12-01

  436 107

• Enhanced Expressive Power and Fast Training of Neural Networks by Random Projections

  Jian-Feng Cai, Dong Li, Jiaze Sun, Ke Wang

  2021-08-31

  41146 3512 Pages:532-550

• Double-Domain Driven Unet for Selective Segmentation of Medical Image

  Zhi-Feng Pang, Lin Yang, Mingxiang Wu, Ziyu Niu, Raymond Chan, Xue-Cheng Tai

  2026-01-25

  859 171 Pages:178-206

• A General Non-Lipschitz Joint Regularized Model for Multi-Channel/Modality Image Reconstruction

  Yiming Gao, Chunlin Wu

  2021-08-31

  40640 3699 Pages:395-430