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Numerical Mathematics: Theory, Methods and Applications
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  • Fast Second-Order Evaluation for Variable-Order Caputo Fractional Derivative with Applications to Fractional Sub-Diffusion Equations

    Jia-Li Zhang, Zhi-Wei Fang, Hai-Wei Sun
    2022-02-09
    44329 3474 Pages:200-226
  • On a Parabolic Sine-Gordon Model

    Xinyu Cheng, Dong Li, Chaoyu Quan, Wen Yang
    2021-09-10
    47936 2656 Pages:1068-1084
  • A High-Order Piecewise Quartic Spline Rule for Hadamard Integral and Its Application of the Cavity Scattering

    Meiling Zhao, Wenjie He, Gendai Gu
    2021-06-02
    46159 2612 Pages:811-838
  • A New Exponential Compact Scheme for the Two-Dimensional Unsteady Nonlinear Burgers' and Navier-Stokes Equations in Polar Cylindrical Coordinates

    R.K. Mohanty, Li Yuan, Divya Sharma
    2021-01-26
    45196 2614 Pages:488-507
  • Numerical Analysis of a High-Order Scheme for Nonlinear Fractional Differential Equations with Uniform Accuracy

    Junying Cao, Zhenning Cai
    2020-10-09
    48248 4188 Pages:71-112
  • On the Construction and Analysis of Finite Volume Element Schemes with Optimal $L^2$ Convergence Rate

    Xiang Wang, Yuqing Zhang
    2020-10-09
    47556 3646 Pages:47-70
  • Uniformly Distributed Circular Porous Pattern Generation on Surface for 3D Printing

    Sungha Yoon, Chaeyoung Lee, Jintae Park, Darae Jeong, Junseok Kim
    2020-12-02
    61800 3388 Pages:845-862
  • A Simple Semi-Implicit Scheme for Partial Differential Equations with Obstacle Constraints

    Hao Liu, Shingyu Leung
    2020-03-16
    43839 2889 Pages:620-643
  • 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 Analysis of SAV Finite Element Method to Phase Field Crystal Model

    Liupeng Wang, Yunqing Huang, Kai Jiang
    2020-03-09
    45713 2820 Pages:372-399
  • A Dynamical Method for Solving the Obstacle Problem

    Qinghua Ran, Xiaoliang Cheng, Stéphane Abide
    2020-03-09
    45581 2776 Pages:353-371
  • The Conservation and Convergence of Two Finite Difference Schemes for KdV Equations with Initial and Boundary Value Conditions

    Jinye Shen, Xuping Wang, Zhi-zhong Sun
    2020-03-06
    45883 4294 Pages:253-280
  • The Generalized Order Tensor Complementarity Problems

    Maolin Che, Liqun Qi, Yimin Wei
    2020-03-06
    43030 4343 Pages:131-149
  • A Well-Conditioned, Nonconforming Nitsche's Extended Finite Element Method for Elliptic Interface Problems

    Xiaoxiao He, Fei Song, Weibing Deng
    2020-03-06
    44422 4168 Pages:99-130
  • Auxiliary Equations Approach for the Stochastic Unsteady Navier-Stokes Equations with Additive Random Noise

    Wenju Zhao, Max Gunzburger
    2020-03-06
    44785 4337 Pages:1-26
  • Super Implicit Multistep Collocation Methods for Weakly Singular Volterra Integral Equations

    Jingjun Zhao, Teng Long, Yang Xu
    2019-10-12
    48711 2670 Pages:1039-1065
  • Assessment of Noise Attenuation by Thin Reflecting Barriers Using Dispersion Relation Preserving Scheme

    Jitenjaya Pradhan & Yogesh G. Bhumkar
    2019-04-22
    42622 2669 Pages:942-968
  • A Splitting Scheme for the Numerical Solution of the KWC System

    R. H. W. Hoppe & J. J. Winkle
    2019-04-22
    54339 2983 Pages:661-680
  • 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
  • A New Variational Approach for Inverse Source Problems

    Qiya Hu, Shi Shu & Jun Zou
    2018-12-17
    43696 3060 Pages:331-347
  • A Posteriori Error Control for Three Typical Force-Based Atomistic-to-Continuum Coupling Methods for an Atomistic Chain

    Hao Wang, Shaohui Liu & Feng Yang
    2018-09-18
    41034 4327 Pages:233-264
  • Numerical Investigations of a Class of Biological Models on Unbounded Domain

    Qiumei Huang, Dongfang Li & Jiwei Zhang
    2018-09-18
    41728 4515 Pages:169-186
  • A Meshless Discrete Galerkin Method Based on the Free Shape Parameter Radial Basis Functions for Solving Hammerstein Integral Equations

    Pouria Assari & Mehdi Dehghan
    2018-09-17
    41329 2729 Pages:540-568
  • Rational Quasi-Interpolation Approximation of Scattered Data in $\mathbb{R}^3$

    Renzhong Feng & Lifang Song
    2018-09-17
    41675 4162 Pages:169-186
  • 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
  • Stability of Finite Difference Schemes for Hyperbolic Initial Boundary Value Problems: Numerical Boundary Layers

    Benjamin Boutin & Jean-François Coulombel
    2017-10-01
    38603 2676 Pages:489-519
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