Articles

• Mean-Square Approximation of Navier-Stokes Equations with Additive Noise in Vorticity-Velocity Formulation

  G.N. Milstein, M.V. Tretyakov

  1-30

  https://doi.org/10.4208/nmtma.OA-2020-0034

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  48798 3834

• On Poincaré-Friedrichs Type Inequalities for the Broken Sobolev Space ${\rm W}^{2,1}$

  R. H. W. Hoppe

  31-46

  https://doi.org/10.4208/nmtma.OA-2020-0065

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  47449 3659

• On the Construction and Analysis of Finite Volume Element Schemes with Optimal $L^2$ Convergence Rate

  Xiang Wang, Yuqing Zhang

  47-70

  https://doi.org/10.4208/nmtma.OA-2020-0027

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  47555 3646

• Numerical Analysis of a High-Order Scheme for Nonlinear Fractional Differential Equations with Uniform Accuracy

  Junying Cao, Zhenning Cai

  71-112

  https://doi.org/10.4208/nmtma.OA-2020-0039

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  48247 4188

• Numerical Study of Switching Behavior in Finite Media Subject to 3D Ferroelectric-Paraelectric Interactions and Inspection of Calibration Effects

  P.-W. Martelli, S.M. Mefire

  113-143

  https://doi.org/10.4208/nmtma.OA-2019-0135

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  46242 4077

• A New Ensemble HDG Method for Parameterized Convection Diffusion PDEs

  Yong Yu, Gang Chen, Liangya Pi, Yangwen Zhang

  144-175

  https://doi.org/10.4208/nmtma.OA-2019-0190

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  48393 3555

• On Nonnegative Solution of Multi-Linear System with Strong $\mathcal{M}_z$-Tensors

  Changxin Mo, Yimin Wei

  176-193

  https://doi.org/10.4208/nmtma.OA-2020-0080

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  46955 3858

• Convergence and Stability of the Truncated Euler-Maruyama Method for Stochastic Differential Equations with Piecewise Continuous Arguments

  Yidan Geng, Minghui Song, Yulan Lu, Mingzhu Liu

  194-218

  https://doi.org/10.4208/nmtma.OA-2019-0108

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  48036 3689

• A 2D Staggered Multi-Material ALE Code Using MOF Interface Reconstruction

  Yibing Chen, Junxia Cheng, Liang Pan, Haihua Yang, Heng Yong, Xin Yu

  219-241

  https://doi.org/10.4208/nmtma.OA-2020-0072

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  47454 3686

• On the Evolutionary Dynamics of the Cahn-Hilliard Equation with Cut-Off Mass Source

  Chaeyoung Lee, Hyundong Kim, Sungha Yoon, Jintae Park, Sangkwon Kim, Junxiang Yang, Junseok Kim

  242-260

  https://doi.org/10.4208/nmtma.OA-2020-0051

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  47140 3608

• An Implicit Solver for the Time-Dependent Kohn-Sham Equation

  Lei Yang, Yedan Shen, Zhicheng Hu, Guanghui Hu

  261-284

  https://doi.org/10.4208/nmtma.OA-2020-0040

  [An open-access article; the PDF is free to any online user.]

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  47627 3772