Articles

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

  G.N. Milstein, M.V. Tretyakov

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  48922 3878 Pages:1-30

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

  R. H. W. Hoppe

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  47554 3718 Pages:31-46

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

  Xiang Wang, Yuqing Zhang

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  47643 3689 Pages:47-70

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

  Junying Cao, Zhenning Cai

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  48340 4243 Pages:71-112

• 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

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  46326 4114 Pages:113-143

• A New Ensemble HDG Method for Parameterized Convection Diffusion PDEs

  Yong Yu, Gang Chen, Liangya Pi, Yangwen Zhang

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  48496 3585 Pages:144-175

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

  Changxin Mo, Yimin Wei

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  47043 3905 Pages:176-193

• 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

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  48132 3760 Pages:194-218

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

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

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  47563 3726 Pages:219-241

• 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

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  47235 3650 Pages:242-260

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

  Lei Yang, Yedan Shen, Zhicheng Hu, Guanghui Hu

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  47723 3844 Pages:261-284 Open-access