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  • Solution of the Two-Dimensional Stefan Problem by the Singularity-Separating Method

    Quan-Sheng Xu & You-Lan Zhu
    1985-03-01
    34606 3981 Pages:8-18
  • Maximum Norm Estimate, Extrapolation and Optimal Points of Stresses for the Finite Element Methods on the Strongly Regular Triangulation

    Qun Lin, Lü Tao, Shu-Min Shen
    2021-07-01
    35334 3551 Pages:376-383
  • A New Analytical Study for Multi-Dimensional Navier-Stokes Equations with Time-Fractional Order

    Hegagi Mohamed Ali
    2026-04-15
    2865 92 Pages:539-563
  • A Space-Time Trefftz DG Method for the Second Order Time-Dependent Maxwell System in Anisotropic Media

    Long Yuan, Xiaoyu Wang, Xiaoqiang Yue
    2026-04-15
    2784 121 Pages:394-426
  • Two-Grid Algorithm of $H^{1}$-Galerkin Mixed Finite Element Methods for Semilinear Parabolic Integro-Differential Equations

    Tianliang Hou, Chunmei Liu, Chunlei Dai, Luoping Chen, Yin Yang
    2022-10-06
    41579 2954 Pages:667-685
  • Stability and Error Estimates of Ultra-Weak Local Discontinuous Galerkin Method with Spectral Deferred Correction Time-Marching for PDEs with High Order Spatial Derivatives

    Lingling Zhou, Wenhua Chen, Ruihan Guo
    2026-02-15
    2265 160 Pages:286-306
  • Analysis of an Embedded Variable Step Implicit-Explicit Scheme for Natural Convection Problems

    Mengru Jiang, Jilian Wu, Xinlong Feng, Ning Li
    2026-02-15
    2236 133 Pages:248-285
  • Error Analysis of Stabilized Convex Splitting ${\rm BDF}k$ Method for the Molecular Beam Epitaxial Model with Slope Selection

    Juan Li, Xuping Wang
    2026-02-15
    2255 163 Pages:165-190
  • Element Learning: A Systematic Approach of Accelerating Finite Element-Type Methods via Machine Learning, with Applications to Radiative Transfer

    Shukai Du, Samuel N. Stechmann
    2026-02-15
    2387 222 Pages:1-34
  • A Neuron-Wise Subspace Correction Method for the Finite Neuron Method

    Jongho Park, Jinchao Xu, Xiaofeng Xu
    2025-10-30
    4279 252 Pages:1488-1511
  • A New Second Order Numerical Scheme for Solving Decoupled Mean-Field Fbsdes with Jumps

    Yabing Sun, Weidong Zhao
    2025-09-28
    5369 396 Pages:1290-1317
  • A DRS-Based Path-Following Algorithm for Linear Programming

    Yiyang Liu, Haoyang Liu, Hantao Nie, Zaiwen Wen
    2025-09-28
    4794 417 Pages:1141-1168
  • Quantum Simulation of a Class of Highly-Oscillatory Transport Equations via Schrödingerisation

    Anjiao Gu, Shi Jin
    2025-09-28
    4787 412 Pages:1092-1117
  • High Oder Probabilistic Numerical Methods for Forward Backward Stochastic Differential Equations

    Qiang Han, Yurong Liu
    2026-02-24
    0 0
  • A Novel TGMFECN Dimension Reduction Method Based on POD for the Improved Nonlinear Fourth-Order Cahn-Hilliard Equations

    Huanrong Li, Yuejie Li, Liang He, Zhendong Luo
    2025-12-28
    86 71
  • Compact Finite Difference Scheme for Some Sobolev Type Equations with Dirichlet Boundary Condition

    Lavanya V Salian, Rathan Samala, Rakesh Kumar
    2025-11-19
    139 85
  • A Novel Scheme for the Nonlinear Subdiffusion Equation with a Variable Exponent

    Chaobao Huang, Yujie Yu, Na An, Hu Chen
    2025-09-22
    231 95
  • Uniform Stabilization and Numerical Analysis of a Thermoviscoelastic System with the Guyer-Krumhansl Model

    A.J.A. Ramos, L.G.M. Rosário, B. Feng, M.M. Freitas, L.S. Veras
    2025-09-05
    225 74
  • Spectral Solutions of a Fractional-Order Mathematical Model for Lung Cancer, Sensitivity Analysis, and Feedback Control

    Khadijeh Sadri, David Amilo, Evren Hincal
    2025-06-06
    279 86
  • A New Coupled Subdiffusion Model and Its Partitioned Time-Stepping Algorithm

    Zheng Li, Yuting Xiang, Hui Xu, Jiaping Yu, Haibiao Zheng
    2025-05-09
    211 84
  • A Finite Volume Scheme Preserving Strong Extremum Principle for Three-Dimensional Diffusion Equations and Its Anderson Acceleration

    Fei Zhao, Zhiqiang Sheng, Guangwei Yuan
    2025-04-15
    235 85
  • A Deep Learning Based Discontinuous Galerkin Method for Hyperbolic Equations with Discontinuous Solutions and Random Uncertainties

    Jingrun Chen, Shi Jin, Liyao Lyu
    2023-11-08
    29591 2596 Pages:1281-1304
  • A Multiscale Projection Method for Solving Nonlinear Integral Equations Under the Lipschitz Condition

    Linxiu Fan, Xingjun Luo, Rong Zhang, Chunmei Zeng, Suhua Yang
    2023-11-08
    27279 2541 Pages:1222-1245
  • High Order Finite Difference Hermite WENO Fast Sweeping Methods for Static Hamilton-Jacobi Equations

    Yupeng Ren, Yulong Xing, Jianxian Qiu
    2023-11-08
    27557 2838 Pages:1064-1092
  • The Nonconforming Crouzeix-Raviart Element Approximation and Two-Grid Discretizations for the Elastic Eigenvalue Problem

    Hai Bi, Xuqing Zhang, Yidu Yang
    2023-11-08
    27836 2606 Pages:1041-1063
  • Monotone Approximation to a System Without Monotone Nonlinearity

    Yuan-Ming Wang, Ben-Yu Guo
    2000-04-02
    31117 3356 Pages:207-224
  • An Explicit Pseudo-Spectral Scheme with Almost Unconditional Stability for the Cahn-Hilliard Equation

    Bai-Nian Lu, Rui-Feng Zhang
    2000-04-02
    31363 3307 Pages:165-172
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