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  • Implicit-Explicit Time Discretization Schemes for a Class of Semilinear Wave Equations with Nonautonomous Dampings

    Zhe Jiao, Yaxu Li, Lijing Zhao
    2025-09-01
    4694 339 Pages:650-679
  • Stability and Error Analysis of SAV Semi-Discrete Scheme for Cahn-Hilliard-Navier-Stokes Model

    Haijun Gao, Xi Li, Minfu Feng
    2025-04-06
    6888 537 Pages:66-102
  • A Third-Order Implicit-Explicit Runge-Kutta Method for Landau-Lifshitz Equation with Arbitrary Damping Parameters

    Yan Gui, Rui Du, Cheng Wang
    2024-12-11
    11732 1212 Pages:1041-1073
  • New Log Basis Functions with a Scaling Factor and Their Applications

    Dong-Qin Gu, Dongya Tao, Chao Zhang
    2024-12-11
    11940 1277 Pages:1018-1040
  • 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
  • An Accurate Numerical Scheme for Mean-Field Forward and Backward SDEs with Jumps

    Yabing Sun, Jie Yang, Weidong Zhao
    2024-02-26
    23597 2163 Pages:243-274
  • Analysis of Deep Ritz Methods for Semilinear Elliptic Equations

    Mo Chen, Yuling Jiao, Xiliang Lu, Pengcheng Song, Fengru Wang, Jerry Zhijian Yang
    2024-02-26
    23641 2256 Pages:181-209
  • Error Estimate of a New Conservative Finite Difference Scheme for the Klein-Gordon-Dirac System

    Shasha Bian, Yue Cheng, Boling Guo, Tingchun Wang
    2023-01-13
    34778 3174 Pages:140-164
  • Approximation of the Spectral Fractional Powers of the Laplace-Beltrami Operator

    Andrea Bonito, Wenyu Lei
    2023-01-21
    46313 3276 Pages:1193-1218
  • An Improved Linearity-Preserving Cell-Centered Scheme for Nonlinear Diffusion Problems on General Meshes

    Cheng Dong, Tong Kang
    2021-01-26
    44633 2638 Pages:405-437
  • 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
  • Highly Accurate Numerical Schemes for Stochastic Optimal Control via FBSDEs

    Yu Fu, Weidong Zhao, Tao Zhou
    2020-03-09
    48500 3008 Pages:296-319
  • A Fast Symmetric Alternating Direction Method of Multipliers

    Gang Luo, Qingzhi Yang
    2020-03-06
    44504 4243 Pages:200-219
  • The Cubic Spline Rule for the Hadamard Finite-Part Integral on an Interval

    Gendai Gu, Sheng An & Meiling Zhao
    2019-04-22
    43258 2767 Pages:906-922
  • Optimal Rate Convergence Analysis of a Second Order Numerical Scheme for the Poisson-Nernst-Planck System

    Jie Ding, Cheng Wang & Shenggao Zhou
    2018-12-17
    42117 2834 Pages:607-626
  • An Implicit Scheme for Solving Unsteady Boltzmann Model Equation

    Xiaowei Li, Chunxin Li, Dan Zhang, Zhihui Li
    2018-12-17
    42619 2837 Pages:594-606
  • Numerical Analysis of Partially Penalized Immersed Finite Element Methods for Hyperbolic Interface Problems

    Qing Yang
    2018-09-17
    41035 2822 Pages:272-298
  • Error Splitting Preservation for High Order Finite Difference Schemes in the Combination Technique

    Christian Hendricks, Matthias Ehrhardt & Michael Günther
    2017-10-01
    38140 2564 Pages:689-710
  • Deferred Correction Methods for Forward Backward Stochastic Differential Equations

    Tao Tang, Weidong Zhao & Tao Zhou
    2020-11-03
    40683 4146 Pages:222-242 Open-access
  • A Multistep Scheme for Decoupled Forward-Backward Stochastic Differential Equations

    Weidong Zhao, Wei Zhang & Lili Ju
    2016-09-01
    39299 2738 Pages:262-288
  • A Lions Domain Decomposition Algorithm for Radiation Diffusion Equations on Non-Matching Grids

    Li Yin, Jiming Wu & Zihuan Dai
    2015-08-01
    38943 2708 Pages:530-548
  • Spectral Optimization Methods for the Time Fractional Diffusion Inverse Problem

    Xingyang Ye & Chuanju Xu
    2013-06-01
    39804 3880 Pages:499-519
  • Robust Multiscale Iterative Solvers for Nonlinear Flows in Highly Heterogeneous Media

    Y. Efendiev, J. Galvis, S. Ki Kang & R.D. Lazarov
    2012-05-01
    41599 3522 Pages:359-383
  • High Order Scheme for Schrödinger Equation with Discontinuous Potential I: Immersed Interface Method

    Hao Wu
    2011-04-01
    41311 3450 Pages:576-597
  • Analytic and Experimental Studies of the Errors in Numerical Methods for the Valuation of Options

    P. Lin, J. J. H. Miller & G. I. Shishkin
    2008-01-01
    38496 3606 Pages:150-164
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