Articles

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

  Benjamin Boutin, Jean-Francois Coulombel

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  38724 2712 Pages:489-519

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

  Salvatore Cuomo, Ardelio Galletti, Giulio Giunta, Livia Marcellino

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  38861 2686 Pages:520-540

• 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

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  39226 2683 Pages:541-561

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

  Daniel Lee

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  39642 2881 Pages:562-596

• 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

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  38842 2692 Pages:597-613

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

  Yanping Chen, Fenglin Huang

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  38445 2697 Pages:614-638

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

  M. M. Butt, Y. Yuan

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  38450 2600 Pages:639-655

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

  Xiaoyu Wang, Jie Ouyang, Heng Yang, Jianwei Liu

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  38421 2615 Pages:656-670

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

  Jianyun Wang, Yunqing Huang

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  38343 2644 Pages:671-688

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

  Christian Hendricks, Matthias Ehrhardt, Michael Guenther

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  38254 2599 Pages:689-710