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  • High Order Local Discontinuous Galerkin Methods for the Allen-Cahn Equation: Analysis and Simulation

    Ruihan Guo, Liangyue Ji, Yan Xu
    2018-08-22
    DOI:10.4208/jcm.1510-m2014-0002
    41317 3041 pp. 135-158
  • A Stopping Criterion for Higher-Order Sweeping Schemes for Static Hamilton-Jacobi Equations

    Susana Serna, Jianliang Qian
    2018-08-22
    DOI:10.4208/jcm.1003-m0016
    33778 3727 pp. 552-568
  • Convergence Rates of Moving Mesh Rannacher Methods for PDEs of Asian Options Pricing

    Jingtang Ma, Zhiqiang Zhou
    2018-08-22
    DOI:10.4208/jcm.1601-m2014-0217
    37949 2818 pp. 240-261
  • Convergence Analysis for Spectral Approximation to a Scalar Transport Equation with a Random Wave Speed

    Tao Zhou, Tao Tang
    2021-07-01
    DOI:10.4208/jcm.1206-m4012
    36185 3798 pp. 643-656
  • Adaptive Quadrilateral and Hexahedral Finite Element Methods with Hanging Nodes and Convergence Analysis

    Xuying Zhao, Shipeng Mao, Zliong-Ci Shi
    2019-04-10
    DOI:10.4208/jcm.1001-m3006
    35021 3665 pp. 621-644
  • Singly Diagonally Implicit Runge-Kutta Methods Combining Line Search Techniques for Unconstrained Optimization

    Xin-Long Luo
    2005-04-02
    32788 3486 pp. 153-164
  • A Class of Revised Broyden Algorithms Without Exact Line Search

    Dingguo Pu, Shenghua Gui, Weiwen Tian
    2004-02-02
    34341 4032 pp. 11-20
  • A Robust SQP Method for Optimization with Inequality Constraints

    JL Zhang, XS Zhang
    2003-04-02
    32610 3651 pp. 247-256
  • Compact Difference Schemes for the Diffusion and Schrödinger Equations Approximation, Stability, Convergence, Effectiveness, Monotony

    Vladimir A. Gordin, Eugeny A. Tsymbalov
    2018-08-22
    DOI:10.4208/jcm.1403-CR14
    36702 3580 pp. 348-370
  • Convergence and Superconvergence Analysis of Lagrange Rectangular Elements with Any Order on Arbitrary Rectangular Meshes

    Mingxia Li, Xiaofei Guan, Shipeng Mao
    2018-08-22
    DOI:10.4208/jcm.1310-FE2
    35893 3784 pp. 169-182
  • A Monotone Compact Implicit Scheme for Nonlinear Reaction-Diffusion Equations

    Yuanming Wang, Benyu Guo
    2018-08-07
    33804 3658 pp. 123-148
  • 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
  • Uniform Convergence of Hermite Interpolation of Higher Order

    YP Feng, WM He
    2003-04-02
    32664 3548 pp. 145-156
  • The Convergence on a Family of Iterations with Cubic Order

    Dan-Fu Han
    2001-10-02
    34756 3464 pp. 467-474
  • A Fast Compact Difference Method for Two-Dimensional Nonlinear Space-Fractional Complex Ginzburg-Landau Equations

    Lu Zhang, Qifeng Zhang, Hai-Wei Sun
    2021-10-15
    DOI:10.4208/jcm.2005-m2020-0029
    41631 3007 pp. 708-732
  • Discrete Maximum Principle and Convergence of Poisson Problem for the Finite Point Method

    Guixia Lv, Shunkai Sun, Longjun Shen
    2018-08-22
    DOI:10.4208/jcm.1605-m2015-0397
    36492 2983 pp. 245-264
  • Optimal a Posteriori Error Estimates of the Local Discontinuous Galerkin Method for Convection-Diffusion Problems in One Space Dimension

    Mahboub Baccouch
    2018-08-22
    DOI:10.4208/jcm.1603-m2015-0317
    36345 2844 pp. 511-531
  • A Uniform First-Order Method for the Discrete Ordinate Transport Equation with Interfaces in X,Y-Geometry

    Min Tang
    2021-07-01
    DOI:10.4208/jcm.2009.09-m2894
    35595 3772 pp. 764-786
  • Compact Fourth-Order Finite Difference Schemes for Helmholtz Equation with High Wave Numbers

    Yiping Fu
    2018-08-15
    33863 4986 pp. 98-111
  • D-Convergence and Stability of a Class of Linear Multistep Methods for Nonlinear DDEs

    Cheng-Jia Zhang, Xiao-Xin Liao
    2000-04-02
    31963 3373 pp. 199-206
  • On the Convergence of the Nonnested V-Cycle Multigrid Method for Nonsymmetric and Indefinite Second-Order Elliptic Problems

    HY Duan, Q Lin
    2006-04-02
    31029 3294 pp. 157-168
  • The Derivative Patch Interpolating Recovery Technique for Finite Element Approximations

    Tie Zhang, Yanping Lin, R. J. Tait
    2004-02-02
    33304 3871 pp. 113-122
  • Order Interval Secant Method for Nonlinear Systems

    Qing-Yang Li
    1985-03-01
    33344 3888 pp. 35-40
  • A Leap Frog Finite Difference Scheme for a Class of Nonlinear Schrödinger Equations of High Order

    Wen-Ping Zeng
    1999-04-02
    32626 3397 pp. 133-138
  • Finite Volume Superconvergence Approximation for One-Dimensional Singularly Perturbed Problems

    Waixiang Cao, Zhimin Zhang, Qingsong Zou
    2018-08-22
    DOI:10.4208/jcm.1304-m4280
    37403 3891 pp. 488-508
  • A Stabilized Equal-Order Finite Volume Method for the Stokes Equations

    Wanfu Tian, Liqiu Song, Yonghai Li
    2021-07-01
    DOI:10.4208/jcm.1206-m3843
    36720 3803 pp. 615-628
  • High Order Weighted Essentially Non-Oscillation Schemes for One-Dimensional Detonation Wave Simulations

    Zhen Gao, Wai Sun Don, Zhiqiu Li
    2021-07-01
    DOI:10.4208/jcm.1110-m11si02
    35339 3587 pp. 623-638
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