Articles

• Stability of Finite Difference Schemes for Hyperbolic Initial Boundary Value Problems: Numerical Boundary Layers

  Benjamin Boutin & Jean-François Coulombel

  489-519

  https://doi.org/10.4208/nmtma.2017.m1525

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  38601 2676

• Numerical Effects of the Gaussian Recursive Filters in Solving Linear Systems in the 3Dvar Case Study

  Salvatore Cuomo, Ardelio Galletti, Giulio Giunta & Livia Marcellino

  520-540

  https://doi.org/10.4208/nmtma.2017.m1528

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  38742 2655

• A Numerical Approximation Structured by Mixed Finite Element and Upwind Fractional Step Difference for Semiconductor Device with Heat Conduction and Its Numerical Analysis

  Yirang Yuan, Qing Yang, Changfeng Li & Tongjun Sun

  541-561

  https://doi.org/10.4208/nmtma.2017.y15013

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  39102 2655

• Analysis of Hexagonal Grid Finite Difference Methods for Anisotropic Laplacian Related Equations

  Daniel Lee

  562-596

  https://doi.org/10.4208/nmtma.2017.m1527

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  39513 2725

• An Unconditionally Stable and High-Order Convergent Difference Scheme for Stokes' First Problem for a Heated Generalized Second Grade Fluid with Fractional Derivative

  Cuicui Ji & Zhizhong Sun

  597-613

  https://doi.org/10.4208/nmtma.2017.m1605

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  38725 2661

• Spectral Method Approximation of Flow Optimal Control Problems with $H^1$-Norm State Constraint

  Yanping Chen & Fenglin Huang

  614-638

  https://doi.org/10.4208/nmtma.2017.m1419

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  38325 2657

• A Full Multigrid Method for Distributed Control Problems Constrained by Stokes Equations

  M. M. Butt & Y. Yuan

  639-655

  https://doi.org/10.4208/nmtma.2017.m1637

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  38332 2559

• Lattice Boltzmann Method for Simulating Phase Separation of Sheared Binary Fluids with Reversible Chemical Reaction

  Xiaoyu Wang, Jie Ouyang, Heng Yang & Jianwei Liu

  656-670

  https://doi.org/10.4208/nmtma.2017.y15028

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  38303 2587

• Fully Discrete Galerkin Finite Element Method for the Cubic Nonlinear Schrödinger Equation

  Jianyun Wang & Yunqing Huang

  671-688

  https://doi.org/10.4208/nmtma.2017.y16008

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  38227 2604

• Error Splitting Preservation for High Order Finite Difference Schemes in the Combination Technique

  Christian Hendricks, Matthias Ehrhardt & Michael Günther

  689-710

  https://doi.org/10.4208/nmtma.2017.m1511

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  38138 2564