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  • Numerical Analysis of Crank-Nicolson Scheme for the Allen-Cahn Equation

    Qianqian Chu, Guanghui Jin, Jihong Shen, Yuanfeng Jin
    2021-10-15
    DOI:10.4208/jcm.2002-m2019-0213
    42260 3197 pp. 655-665
  • Shock and Boundary Structure Formation by Spectral-Lagrangian Methods for the Inhomogeneous Boltzmann Transport Equation

    Irene M. Gamba, Sri Harsha Tharkabhushanam
    2018-08-22
    DOI:10.4208/jcm.1003-m0011
    34893 3485 pp. 430-460
  • Analysis of a Numerical Method for Radiative Transfer Equation Based Bioluminescence Tomography

    Rongfang Gong, Joseph Eichholz, Xiaoliang Cheng, Weimin Han
    2021-07-01
    DOI:10.4208/jcm.1607-m2016-0515
    37810 3743 pp. 648-670
  • Symplectic Schemes for Telegraph Equations

    Yi Lu, Yao-Lin Jiang
    2018-08-22
    DOI:10.4208/jcm.1512-m2015-0256
    36431 3012 pp. 285-299
  • An Adaptive Fast Interface Tracking Method

    Yana Di, Jelena Popovic, Olof Runborg
    2021-07-01
    DOI:10.4208/jcm.1503-m4532
    37666 3741 pp. 576-586
  • Implicity Linear Collocation Method and Iterated Implicity Linear Collocation Method for the Numerical Solution of Hammerstein Fredholm Integral Equations on 2D Irregular Domains

    H. Laeli Dastjerdi, M. Nili Ahmadabadi
    2020-05-19
    DOI:10.4208/jcm.1903-m2017-0206
    39811 2940 pp. 624-637
  • A Numerical Method for Solving Nonlinear Integro-Differential Equations of Fredholm Type

    Igor Boglaev
    2018-08-22
    DOI:10.4208/jcm.1512-m2015-0241
    38222 2916 pp. 262-284
  • Exponential Fitted Methods for the Numerical Solution of the Schrödinger Equation

    T. E. Simos
    1996-04-02
    32645 3317 pp. 120-134
  • The Exponential Scalar Auxiliary Variable Approach for the Landau-Lifshitz Equation

    Xinye Li, Sai Qi, Zhoushun Zheng
    2026-04-01
    DOI:10.4208/jcm.2512-m2025-0073
    46 35
  • An Exponential Wave Integrator Pseudospectral Method for the Symmetric Regularized-Long-Wave Equation

    Xiaofei Zhao
    2018-08-22
    DOI:10.4208/jcm.1510-m4467
    37974 4909 pp. 49-69
  • High Order Finite Difference/Spectral Methods to a Water Wave Model with Nonlocal Viscosity

    Mohammad Tanzil Hasan, Chuanju Xu
    2020-05-19
    DOI:10.4208/jcm.1902-m2017-0280
    39591 3074 pp. 580-605
  • Stability Analysis of Yee Schemes to PML and UPML for Maxwell Equations

    Nengsheng Fang, Lung-An Ying
    2021-07-01
    DOI:10.4208/jcm.2009.09-m2808
    35952 3841 pp. 729-747
  • A Comparison of Different Contraction Methods for Monotone Variational Inequalities

    Bingsheng He, Xiang Wang, Junfeng Yang
    2009-08-02
    DOI:10.4208/jcm.2009.27.4.013
    32295 3332 pp. 459-473
  • Error Reduction in Adaptive Finite Element Approximations of Elliptic Obstacle Problems

    Dietrich Braess, Carsten Carstensen, Ronald H. W. Hoppe
    2018-08-07
    33248 3417 pp. 148-169
  • Finite Element Approximations for Schrödinger Equations with Applications to Electronic Structure Computations

    Xin-Gao Gong, Lihua Shen, Dier Zhang, Aihui Zhou
    2018-08-07
    33068 3607 pp. 310-323
  • The Gaussian Beam Methods for Schrödinger-Poisson Equations

    Shi Jin, Hao Wu, Xu Yang
    2018-08-22
    DOI:10.4208/jcm.2009.10-m1005
    36649 3484 pp. 261-272
  • Finite Element and Discontinuous Galerkin Method for Stochastic Helmholtz Equation in Two- and Three-Dimensions

    Yanzhao Cao, Ran Zhang, Kai Zhang
    2018-08-07
    32755 3814 pp. 702-715
  • An Oscillation-Free Discontinuous Galerkin Method for a Nonlinear Stochastic Convection-Dominated Diffusion Problem and Its Error Analysis

    Yaping Li, Weidong Zhao, Wenju Zhao
    2025-09-28
    DOI:10.4208/jcm.2407-m2023-0265
    5086 486 pp. 1264-1289
  • The Quadratic Discontinuous Finite Volume Element Schemes for Elliptic Problems

    Yuzhi Lou, Hongxing Rui, Xiufang Feng
    2026-03-02
    DOI:10.4208/jcm.2509-m2024-0241
    86 70
  • High Performance Parallel Block Supernode Direct Solver for Stiffness Equation

    Qiang-Gui Jin, Yao-Hui Ma
    2025-11-19
    DOI:10.4208/jcm.2505-m2024-0124
    153 186
  • Domain Decomposition with Nonmatching Grids for Exterior Transmission Problems via FEM and DtN Mapping

    Ju-e Yang, De-hao Yu
    2006-06-02
    33815 3394 pp. 323-342
  • Analysis of a Mixed Finite Element Method for a Phase Field Bending Elasticity Model of Vesicle Membrane Deformation

    Qiang Du, Liyong Zhu
    2006-06-02
    33359 3394 pp. 265-280
  • An Efficient Finite Difference Method for Stochastic Linear Second-Order Boundary-Value Problems Driven by Additive White Noises

    Mahboub Baccouch
    2024-01-16
    DOI:10.4208/jcm.2205-m2021-0346
    25422 2253 pp. 432-453
  • On Discrete Energy Dissipation of Maxwell's Equations in a Cole-Cole Dispersive Medium

    Baoli Yin, Yang Liu, Hong Li, Zhimin Zhang
    2023-05-08
    DOI:10.4208/jcm.2210-m2021-0257
    28876 2489 pp. 980-1002
  • An Expanded Characteristic-Mixed Finite Element Method for a Convection-Dominated Transport Problem

    L Guo, HZ Chen
    2005-10-02
    34515 3576 pp. 479-490
  • Waveform Relaxation Methods for Lie-Group Equations

    Yao-Lin Jiang, Zhen Miao, Yi Lu
    2022-10-06
    DOI:10.4208/jcm.2101-m2020-0214
    38653 3351 pp. 649-666
  • A Diagonally-Implicit Time Integration Scheme for Space-Time Moving Finite Elements

    Randolph E. Bank, Maximilian S. Metti
    2019-04-29
    DOI:10.4208/jcm.1805-m2017-0102
    39875 4390 pp. 360-383 Open Access
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