Articles

• Numerical Analysis of a Dynamic Contact Problem with History-Dependent Operators

  Hailing Xuan, Xiaoliang Cheng, Weimin Han, Qichang Xiao

  569-594

  https://doi.org/10.4208/nmtma.OA-2019-0130

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  57773 3127

• A High-Order Kernel-Free Boundary Integral Method for Incompressible Flow Equations in Two Space Dimensions

  Yaning Xie, Wenjun Ying

  595-619

  https://doi.org/10.4208/nmtma.OA-2019-0175

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  44141 2926

• A Simple Semi-Implicit Scheme for Partial Differential Equations with Obstacle Constraints

  Hao Liu, Shingyu Leung

  620-643

  https://doi.org/10.4208/nmtma.OA-2019-0126

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  43837 2889

• Effect of Space Dimensions on Equilibrium Solutions of Cahn-Hilliard and Conservative Allen-Cahn Equations

  Hyun Geun Lee, Junxiang Yang, Junseok Kim, Jintae Park

  644-664

  https://doi.org/10.4208/nmtma.OA-2019-0159

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  45485 2831

• Multidomain Legendre-Galerkin Least-Squares Method for Linear Differential Equations with Variable Coefficients

  Yonghui Qin, Yanping Chen, Yunqing Huang, Heping Ma

  665-688

  https://doi.org/10.4208/nmtma.OA-2019-0015

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  43858 2854

• An Improved Hybrid Adjoint Method in External Aerodynamics Using Variational Technique for the Boundary Integral Based Optimal Objective Function Gradient

  Asma Farooqi, Riaz Ahmad, Zhenping Feng

  689-718

  https://doi.org/10.4208/nmtma.OA-2019-0087

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  43882 2780

• PPIFE Method with Non-Homogeneous Flux Jump Conditions and Its Efficient Numerical Solver for Elliptic Optimal Control Problems with Interfaces

  Quanxiang Wang, Zhiyue Zhang, Enlai Zheng

  719-744

  https://doi.org/10.4208/nmtma.OA-2019-0088

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  44756 2817

• Parallel Smoothed Aggregation Multilevel Schwarz Preconditioned Newton-Krylov Algorithms for Poisson-Boltzmann Problems

  Shang-Rong Cai, Jun-Yi Xiao, Yu-Chieh Tseng, Feng-Nan Hwang

  745-769

  https://doi.org/10.4208/nmtma.OA-2019-0174

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  43822 2738

• Superconvergence of the Composite Rectangle Rule for Computing Hypersingular Integral on Interval

  Jin Li, Yongling Cheng, Zongcheng Li

  770-787

  https://doi.org/10.4208/nmtma.OA-2019-0089

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  45619 2703

• Energy Identities and Stability Analysis of the Yee Scheme for 3D Maxwell Equations

  Liping Gao, Xiaorui Sang, Rengang Shi

  788-813

  https://doi.org/10.4208/nmtma.OA-2019-0121

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  45857 2862

• A Continuous-Stage Modified Leap-Frog Scheme for High-Dimensional Semi-Linear Hamiltonian Wave Equations

  Bin Wang, Xinyuan Wu, Yonglei Fang

  814-844

  https://doi.org/10.4208/nmtma.OA-2019-0115

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  44087 2686