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Numerical Mathematics: Theory, Methods and Applications
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  • A QMC-Deep Learning Method for Diffusivity Estimation in Random Domains

    Liyao Lyu, Zhiwen Zhang, Jingrun Chen
    2020-12-02
    52697 2934 Pages:908-927
  • The Dissipative Spectral Methods for the First Order Linear Hyperbolic Equations

    Lian Chen, Zhongqiang Zhang & Heping Ma
    2012-05-01
    39689 3482 Pages:493-508
  • Stability and Convergence of the Integral-Averaged Interpolation Operator Based on $Q_1$-Element in $\mathbb{R}^n$

    Yaru Liu, Yinnian He, Xinlong Feng
    2024-05-11
    20764 1693 Pages:494-513
  • Richardson Extrapolation of the Euler Scheme for Backward Stochastic Differential Equations

    Yafei Xu, Weidong Zhao
    2024-05-11
    21130 1722 Pages:463-493
  • Efficiently Training Physics-Informed Neural Networks via Anomaly-Aware Optimization

    Jiacheng Li, Min Yang, Chuanjun Chen
    2024-05-11
    27126 2200 Pages:310-330
  • Multidomain Hybrid Direct DG and Central Difference Methods for Viscous Terms in Hyperbolic-Parabolic Equations

    Weixiong Yuan, Tiegang Liu, Bin Zhang, Kui Cao, Kun Wang
    2024-02-26
    28458 2771 Pages:1-36
  • An Efficient Cartesian Grid-Based Method for Scattering Problems with Inhomogeneous Media

    Haixia Dong, Wenjun Ying, Jiwei Zhang
    2023-04-10
    36171 2587 Pages:541-564
  • Nonlinear Level Set Learning for Function Approximation on Sparse Data with Applications to Parametric Differential Equations

    Anthony Gruber, Max Gunzburger, Lili Ju, Yuankai Teng, Zhu Wang
    2021-09-10
    59743 3027 Pages:839-861
  • A 2D Staggered Multi-Material ALE Code Using MOF Interface Reconstruction

    Yibing Chen, Junxia Cheng, Liang Pan, Haihua Yang, Heng Yong, Xin Yu
    2020-10-09
    47455 3687 Pages:219-241
  • A Multiple Scalar Auxiliary Variables Approach to the Energy Stable Scheme of the Moving Contact Line Problem

    Fengdai Kang, Zhen Zhang
    2020-03-09
    42787 2616 Pages:539-568
  • Error Estimates and Superconvergence of a High-Accuracy Difference Scheme for a Parabolic Inverse Problem with Unknown Boundary Conditions

    Liping Zhou, Shi Shu, Haiyuan Yu
    2019-10-12
    45882 2656 Pages:1119-1140
  • The Plane Wave Discontinuous Galerkin Method Combined with Local Spectral Finite Elements for the Wave Propagation in Anisotropic Media

    Long Yuan
    2018-12-17
    41402 2745 Pages:517-546
  • Nodal Discontinuous Galerkin Method for Time-Domain Lorentz Model Equations in Meta-Materials

    Shanghui Jia, Changhui Yao & Shuai Su
    2018-09-17
    42921 4792 Pages:30-48
  • Runge-Kutta Discontinuous Local Evolution Galerkin Methods for the Shallow Water Equations on the Cubed-Sphere Grid

    Yangyu Kuang, Kailiang Wu & Huazhong Tang
    2020-11-03
    39159 2558 Pages:373-419
  • A Multiple Interval Chebyshev-Gauss-Lobatto Collocation Method for Ordinary Differential Equations

    Zhongqing Wang & Jun Mu
    2016-09-01
    39630 2734 Pages:619-639
  • 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 Conservative Formulation and a Numerical Algorithm for the Double-Gyre Nonlinear Shallow-Water Model

    Dongyang Kuang & Long Lee
    2015-08-01
    38713 2683 Pages:634-650
  • Legendre-Gauss Spectral Collocation Method for Second Order Nonlinear Delay Differential Equations

    Lijun Yi & Zhongqing Wang
    2014-07-01
    39783 3945 Pages:149-178
  • Wavelets and Optical Flow Motion Estimation

    P. Dérian, P. Héas, C. Herzet & E. Mémin
    2013-06-01
    41377 3876 Pages:116-137
  • High Order Scheme for Schrödinger Equation with Discontinuous Potential I: Immersed Interface Method

    Hao Wu
    2011-04-01
    41311 3450 Pages:576-597
  • Gas-Kinetic BGK Scheme for Three Dimensional Magnetohydrodynamics

    Huazhong Tang, Kun Xu & Chunpei Cai
    2010-03-01
    42083 4047 Pages:387-404
  • An Efficient and Accurate Spectral Method for Acoustic Scattering in Elliptic Domains

    Qirong Fang, Jie Shen & Li-Lian Wang
    2009-02-01
    41043 3773 Pages:258-274
  • A Paradoxical Consistency Between Dynamic and Conventional Derivatives on Hybrid Grids

    Qin Sheng
    2008-01-01
    37909 3345 Pages:198-213
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