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• A Modularized Algorithmic Framework for Interface Related Optimization Problems Using Characteristic Functions

  Dong Wang, Shangzhi Zeng, Jin Zhang, Ning Zhang

  2025-05-16

  7175 479 Pages:437-462

• A Second Order Accurate in Time, Energy Stable Finite Element Scheme for a Liquid Thin Film Coarsening Model

  Maoqin Yuan, Lixiu Dong, Juan Zhang

  2025-04-06

  6740 554 Pages:127-156

• A BDF2-SSAV Numerical Scheme with Fourier-Spectral Method for a Droplet Thin Film Coarsening Model

  Juan Zhang, Lixiu Dong, Zhengru Zhang

  2024-08-30

  17364 1369 Pages:777-804

• A Survey of the L1 Scheme in the Discretisation of Time-Fractional Problems

  Martin Stynes

  2023-01-21

  39883 2902 Pages:1173-1192

• Accelerated Non-Overlapping Domain Decomposition Method for Total Variation Minimization

  Xue Li, Zhenwei Zhang, Huibin Chang, Yuping Duan

  2021-09-10

  46883 2622 Pages:1017-1041

• Quasi-Monte Carlo Sampling for Solving Partial Differential Equations by Deep Neural Networks

  Jingrun Chen, Rui Du, Panchi Li, Liyao Lyu

  2021-01-26

  46270 2717 Pages:377-404

• Convergence and Stability Analysis of Exponential General Linear Methods for Delay Differential Equations

  Jingjun Zhao, Yu Li & Yang Xu

  2018-09-17

  40411 2783 Pages:354-382

• Semi-Convergence Analysis of Uzawa Splitting Iteration Method for Singular Saddle Point Problems

  Jingtao Li & Changfeng Ma

  2018-09-17

  42780 2918 Pages:235-246

• Difference Approximation of Stochastic Elastic Equation Driven by Infinite Dimensional Noise

  Yinghan Zhang, Xiaoyuan Yang & Ruisheng Qi

  2016-09-01

  38419 4060 Pages:123-146

• Fitted Mesh Method for a Class of Singularly Perturbed Differential-Difference Equations

  Devendra Kumar

  2015-08-01

  40243 2908 Pages:496-514

• Frontal Slice Approaches for Tensor Linear Systems

  Hengrui Luo, Anna Ma

  2025-05-16

  7150 486 Pages:353-394

• Analysis and Efficient Implementation of Quadratic Spline Collocation ADI Methods for Variable-Order Time-Fractional Mobile-Immobile Diffusion Equations

  Jun Liu, Hongfei Fu, Bingyin Zhang, Jiansong Zhang

  2025-04-06

  6698 552 Pages:226-258

• A Third-Order Implicit-Explicit Runge-Kutta Method for Landau-Lifshitz Equation with Arbitrary Damping Parameters

  Yan Gui, Rui Du, Cheng Wang

  2024-12-11

  11732 1212 Pages:1041-1073

• Fusing Infrared and Visible Images via a First-Order Model

  Wenli Yang, Zhongyi Huang, Wei Zhu

  2024-05-11

  26249 2176 Pages:275-309

• An Accurate Numerical Scheme for Mean-Field Forward and Backward SDEs with Jumps

  Yabing Sun, Jie Yang, Weidong Zhao

  2024-02-26

  23597 2163 Pages:243-274

• Analysis of Deep Ritz Methods for Semilinear Elliptic Equations

  Mo Chen, Yuling Jiao, Xiliang Lu, Pengcheng Song, Fengru Wang, Jerry Zhijian Yang

  2024-02-26

  23641 2256 Pages:181-209

• An Alternating Direction Method of Multipliers for Inverse Lithography Problem

  Junqing Chen, Haibo Liu

  2023-08-29

  29114 2407 Pages:820-846

• Convergence Analysis of a Quasi-Monte Carlo-Based Deep Learning Algorithm for Solving Partial Differential Equations

  Fengjiang Fu, Xiaoqun Wang

  2023-08-29

  28317 2473 Pages:668-700

• Error Estimate of a New Conservative Finite Difference Scheme for the Klein-Gordon-Dirac System

  Shasha Bian, Yue Cheng, Boling Guo, Tingchun Wang

  2023-01-13

  34778 3174 Pages:140-164

• Efficient Hermite Spectral-Galerkin Methods for Nonlocal Diffusion Equations in Unbounded Domains

  Huiyuan Li, Ruiqing Liu, Li-Lian Wang

  2023-01-21

  37016 2939 Pages:1009-1040

• Spectral Analysis for Preconditioning of Multi-Dimensional Riesz Fractional Diffusion Equations

  Xin Huang, Xue-Lei Lin, Michael K. Ng, Hai-Wei Sun

  2022-07-19

  42008 3178 Pages:565-591

• Greedy Kaczmarz Algorithm Using Optimal Intermediate Projection Technique for Coherent Linear Systems

  Fang Geng, Li-Xiao Duan, Guo-Feng Zhang

  2022-03-23

  44840 2852 Pages:464-483

• A High-Order Piecewise Quartic Spline Rule for Hadamard Integral and Its Application of the Cavity Scattering

  Meiling Zhao, Wenjie He, Gendai Gu

  2021-06-02

  46159 2612 Pages:811-838

• Regularized DPSS Preconditioners for Singular Saddle Point Problems

  Yong Qian, Guofeng Zhang, Zhaozheng Liang

  2020-12-02

  48389 2890 Pages:986-1006

• One-Step Hybrid Block Method Containing Third Derivatives and Improving Strategies for Solving Bratu's and Troesch's Problems

  Mufutau Ajani Rufai, Higinio Ramos

  2020-12-02

  50195 2880 Pages:946-972

• A Stabilized Low Order Finite Element Method for Three Dimensional Elasticity Problems

  Gwanghyun Jo, Do Y. Kwak

  2020-03-09

  44447 2887 Pages:281-295

• The Cubic Spline Rule for the Hadamard Finite-Part Integral on an Interval

  Gendai Gu, Sheng An & Meiling Zhao

  2019-04-22

  43258 2767 Pages:906-922