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  • A High Order Operator Splitting Method for the Degasperis–Procesi Equation

    Yunrui Guo, Hong Zhang, Wenjing Yang, Ji Wang & Songhe Song
    2019-04-22
    43246 2679 Pages:884-905
  • Numerical Analysis of a Second Order Crank-Nicolson Mixed Finite Element Method for the Swift-Hohenberg Equation

    Hongling Li, Manting Xie, Meiling Yue
    2025-10-22
    3823 247 Pages:947-971
  • A Geometric Space-Time Multigrid Algorithm for the Heat Equation

    Tobias Weinzierl & Tobias Köppl
    2012-05-01
    40470 4448 Pages:110-130 Open-access
  • Efficient Chebyshev Spectral Method for Solving Linear Elliptic PDEs Using Quasi-Inverse Technique

    Fei Liu, Xingde Ye & Xinghua Wang
    2011-04-01
    40105 3764 Pages:197-215
  • A Stabilizer Free Weak Galerkin Finite Element Method for Elliptic Equation with Lower Regularity

    Yiying Wang, Yongkui Zou, Xuan Liu, Chenguang Zhou
    2024-05-11
    20999 1697 Pages:514-533
  • Galerkin Finite Element Approximation for Semilinear Stochastic Time-Tempered Fractional Wave Equations with Multiplicative Gaussian Noise and Additive Fractional Gaussian Noise

    Yajing Li, Yejuan Wang, Weihua Deng, Daxin Nie
    2023-01-21
    36078 2886 Pages:1063-1098
  • HRW: Hybrid Residual and Weak Form Loss for Solving Elliptic Interface Problems with Neural Network

    Muzhou Hou, Yinghao Chen, Shen Cao, Yuntian Chen, Jinyong Ying
    2023-11-07
    29770 2498 Pages:883-913
  • Second Order Multigrid Methods for Elliptic Problems with Discontinuous Coefficients on an Arbitrary Interface, I: One Dimensional Problems

    Armando Coco & Giovanni Russo
    2012-05-01
    41375 4442 Pages:19-42 Open-access
  • Error Analysis of the Mixed Residual Method for Elliptic Equations

    Kai Gu, Peng Fang, Zhiwei Sun, Rui Du
    2024-05-11
    20920 1671 Pages:534-554
  • A Numerical Approximation Structured by Mixed Finite Element and Upwind Fractional Step Difference for Semiconductor Device with Heat Conduction and Its Numerical Analysis

    Yirang Yuan, Qing Yang, Changfeng Li & Tongjun Sun
    2017-10-01
    39104 2655 Pages:541-561
  • Two-Grid Finite Element Method with Crank-Nicolson Fully Discrete Scheme for the Time-Dependent Schrödinger Equation

    Jianyun Wang, Jicheng Jin, Zhikun Tian
    2020-03-09
    45757 2867 Pages:334-352
  • A High-Order Kernel-Free Boundary Integral Method for Incompressible Flow Equations in Two Space Dimensions

    Yaning Xie, Wenjun Ying
    2020-03-16
    44144 2926 Pages:595-619
  • Decoupled Mixed Element Methods for Fourth Order Elliptic Optimal Control Problems with Control Constraints

    Yue Shen, Chang Jin
    2020-03-09
    44794 2748 Pages:400-432
  • An Acceleration Technique for the Augmented IIM for 3D Elliptic Interface Problems

    Changjuan Zhang, Zhilin Li, Xingye Yue
    2021-06-02
    47057 2775 Pages:773-796
  • Error Analysis of the Deep Mixed Residual Method for High-Order Elliptic Equations

    Mengjia Bai, Jingrun Chen, Rui Du, Zhiwei Sun
    2025-05-16
    7274 501 Pages:395-436
  • Fully Discrete Galerkin Finite Element Method for the Cubic Nonlinear Schrödinger Equation

    Jianyun Wang & Yunqing Huang
    2017-10-01
    38229 2604 Pages:671-688
  • Spectral Matrix Conditioning in Cylindrical and Spherical Elliptic Equations

    F. Auteri & L. Quartapelle
    2011-04-01
    40202 3790 Pages:113-141
  • A Posteriori Error Analysis of a $P_2$-CDG Space-Time Finite Element Method for the Wave Equation

    Yuling Guo, Jianguo Huang
    2022-07-19
    38843 2974 Pages:662-678
  • Local MFS Matrix Decomposition Algorithms for Elliptic BVPs in Annuli

    C.S. Chen, Andreas Karageorghis, Min Lei
    2024-02-26
    23128 2057 Pages:93-120
  • Spectral Method for Nonlinear Stochastic Partial Differential Equations of Elliptic Type

    Yanzhao Cao & Li Yin
    2011-04-01
    40436 4457 Pages:38-52
  • An Adaptive Complex Collocation Method for Solving Linear Elliptic PDEs in Regular Convex Polygons Based on the Unified Transform

    E-N. G. Grylonakis, C. K. Filelis-Papadopoulos, G. A. Gravvanis & A. S. Fokas
    2018-12-17
    43044 2911 Pages:348-369
  • A Sequential Least Squares Method for Elliptic Equations in Non-Divergence Form

    Ruo Li, Fanyi Yang
    2021-09-10
    46198 2539 Pages:1042-1067
  • A New Iteration and Preconditioning Method for Elliptic PDE-Constrained Optimization Problems

    Owe Axelsson, Davod Khojasteh Salkuyeh
    2020-12-02
    53183 2921 Pages:1098-1122
  • An Approximation of Three-Dimensional Semiconductor Devices by Mixed Finite Element Method and Characteristics-Mixed Finite Element Method

    Qing Yang & Yirang Yuan
    2015-08-01
    38883 2692 Pages:356-382
  • Unconditionally Stable Pressure-Correction Schemes for a Linear Fluid-Structure Interaction Problem

    Ying He & Jie Shen
    2014-07-01
    39722 3608 Pages:537-554
  • A Simple Semi-Implicit Scheme for Partial Differential Equations with Obstacle Constraints

    Hao Liu, Shingyu Leung
    2020-03-16
    43839 2889 Pages:620-643
  • Multidomain Legendre-Galerkin Least-Squares Method for Linear Differential Equations with Variable Coefficients

    Yonghui Qin, Yanping Chen, Yunqing Huang, Heping Ma
    2020-03-16
    43860 2854 Pages:665-688
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