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  • Hermite WENO Schemes with Strong Stability Preserving Multi-Step Temporal Discretization Methods for Conservation Laws

    Xiaofeng Cai, Jun Zhu, Jianxian Qiu
    2018-08-22
    DOI:10.4208/jcm.1609-m2014-0069
    39454 4411 pp. 52-73
  • 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
  • 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
  • A Chebyshev-Gauss Spectral Collocation Method for Ordinary Differential Equations

    Xi Yang, Zhongqing Wang
    2018-08-22
    DOI:10.4208/jcm.1405-m4368
    40239 4536 pp. 59-85
  • Spectral and Spectral Element Methods for High Order Problems with Mixed Boundary Conditions

    Benyu Guo, Tao Sun, Chao Zhang
    2018-08-22
    DOI:10.4208/jcm.1403-m4373
    37290 4321 pp. 392-411 Open Access
  • Spectral Method for Mixed Inhomogeneous Boundary Value Problems in Three Dimensions

    Tianjun Wang, Benyu Guo, Wei Li
    2021-07-01
    DOI:10.4208/jcm.1206-m3891
    36267 3904 pp. 579-600
  • Solving the Backward Heat Conduction Problem by Data Fitting with Multiple Regularizing Parameters

    Qun Chen, Jijun Liu
    2018-08-22
    DOI:10.4208/jcm.1111-m3457
    35608 3596 pp. 418-432
  • Tailored Finite Cell Method for Solving Helmholtz Equation in Layered Heterogeneous Medium

    Zhongyi Huang, Xu Yang
    2018-08-22
    DOI:10.4208/jcm.1111-m3679
    35162 3494 pp. 381-391
  • A High Order Adaptive Finite Element Method for Solving Nonlinear Hyperbolic Conservation Laws

    Zhengfu Xu, Jinchao Xu, Chi-Wang Shu
    2018-08-22
    DOI:10.4208/jcm.1105-m3392
    34714 3571 pp. 491-500
  • A New Stabilized Subgrid Eddy Viscosity Method Based on Pressure Projection and Extrapolated Trapezoidal Rule for the Transient Navier-Stokes Equations

    Minfu Feng, Yanhong Bai, Yinnian He, Yanmei Qin
    2018-08-22
    DOI:10.4208/jcm.1101-m2996
    34069 3743 pp. 415-440
  • Effects of Integrations and Adaptivity for the Eulerian-Lagrangian Method

    Jiwei Jia, Xiaozhe Hu, Jinchao Xu, Chen-Song Zhang
    2018-08-22
    DOI:10.4208/jcm.1012-m3397
    34008 3540 pp. 367-395
  • A Numerical Study for the Performance of the WENO Schemes Based on Different Numerical Fluxes for the Shallow Water Equations

    Changna Lu, Jianxian Qiu, Ruyun Wang
    2021-07-01
    DOI:10.4208/jcm.1001-m3122
    35982 3800 pp. 807-825
  • Numerical Boundary Conditions for the Fast Sweeping High Order WENO Methods for Solving the Eikonal Equation

    Ling Huang, Chi-Wang Shu, Mengping Zhang
    2018-08-07
    32574 3752 pp. 336-346
  • Approximation, Stability and Fast Evaluation of Exact Artificial Boundary Condition for the One-Dimensional Heat Equation

    Chunxiong Zheng
    2021-07-01
    32300 3487 pp. 730-745
  • Edge-Oriented Hexagonal Elements

    Chao Yang, Jiachang Sun
    2007-08-02
    32974 3516 pp. 430-439
  • Anti-Diffusive Finite Difference WENO Methods for Shallow Water with Transport of Pollutant

    ZF Xu, CW Shu
    2006-06-02
    33673 3615 pp. 239-251
  • On the Anisotropic Accuracy Analysis of ACM's Nonconforming Finite Element

    DY Shi, SP Mao, SC Chen
    2021-07-01
    31864 3475 pp. 635-646
  • Artificial Boundary Method for the Three-Dimensional Exterior Problem of Elasticity

    HD Han, CX Zheng
    2021-07-01
    32285 3486 pp. 603-618
  • A Second Order Control-Volume Finite-Element Least-Squares Strategy for Simulating Diffusion in Strongly Anisotropic Media

    J Pasdunkorale, IW Turner
    2018-08-15
    33470 4091 pp. 1-16
  • The Prediction-Correction Legendre Collocation Method for Nonlinear Evolutionary Problems

    Liping He, Shunkai Sun
    2004-10-02
    34055 3761 pp. 753-768
  • Conservation of Three-Point Compact Schemes on Single and Multiblock Patched Grids for Hyperbolic Problems

    Zi-Niu Wu
    2003-06-02
    32330 3484 pp. 383-400
  • A Note on Vector Cascade Algorithm

    Qiu-Hui Chen, Jin-Zhao Liu, Wen-Sheng Zhang
    2002-08-02
    33547 3457 pp. 363-372
  • On Discrete Projection and Numerical Boundary Conditions for the Numerical Solution of the Unsteady Incompressible Navier-Stokes Equations

    Lan Chieh Huang
    2002-02-02
    32910 3925 pp. 35-56
  • A Highly Accurate Numerical Method for Flow Problems with Interactions of Discontinuities

    Xiao-Nan Wu, You-Lan Zhu
    2002-02-02
    33420 3972 pp. 1-14
  • Finite Element Analysis of a Local Exponentially Fitted Scheme for Time-Dependent Convection-Diffusion Problems

    Xing-Ye Yue, Li-Shang Jiang, Tsi-Min Shih
    1999-06-02
    32800 3476 pp. 225-232
  • Asymptotic Error Expansion and Defect Correction for Sobolev and Viscoelasticity Type Equations

    Qun Lin, Shuhua Zhang, Ningning Yan
    1998-02-02
    32362 4037 pp. 51-62
  • High Accuracy for Mixes Finite Element Methods in Raviart-Thomas Element

    Q. Lin & J. H. Pan
    1996-04-02
    33210 3328 pp. 175-182
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