Articles

• Multiderivative Combined Dissipative Compact Scheme Satisfying Geometric Conservation Law I: Basic Formulations and Performance Evaluation

  Yi Jiang, Meiliang Mao, Xiaogang Deng, Huayong Liu

  255-284

  https://doi.org/10.4208/aamm.OA-2018-0078

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  44108 3110

• Multiderivative Combined Dissipative Compact Scheme Satisfying Geometric Conservation Law II: Applications on Complex Curvilinear Meshes

  Yi Jiang, Meiliang Mao, Xiaogang Deng, Huayong Liu

  285-311

  https://doi.org/10.4208/aamm.OA-2018-0079

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  44146 3112

• A Generalized Local Grid Refinement Approach for Modeling of Multi-Physicochemical Transports by Lattice Boltzmann Method

  Amer Alizadeh, Moran Wang

  312-337

  https://doi.org/10.4208/aamm.OA-2018-0130

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

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  45283 4577

• Fractional Integro-Differential Equations Involving $\psi$-Hilfer Fractional Derivative

  Mohammed S. Abdo, Satish K. Panchal

  338-359

  https://doi.org/10.4208/aamm.OA-2018-0143

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  47515 3213

• A Class of Weak Galerkin Finite Element Methods for the Incompressible Fluid Model

  Xiuli Wang, Qilong Zhai, Xiaoshen Wang

  360-380

  https://doi.org/10.4208/aamm.OA-2018-0115

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  45212 3360

• Partitioned Time Stepping Method for Fully Evolutionary Navier-Stokes/Darcy Flow with BJS Interface Conditions

  Hongen Jia, Yusha Zhang, Jiaping Yu

  381-405

  https://doi.org/10.4208/aamm.OA-2018-0102

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  44541 3175

• An Adaptive Time and Space Discretization Approach for Simulating Unsteady Navier-Stokes Flows

  Biao Peng, Chunhua Zhou, Junqiang Ai

  406-427

  https://doi.org/10.4208/aamm.OA-2018-0004

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  44170 3108

• Convergence and Quasi-Optimality of an Adaptive Continuous Interior Penalty Finite Element Method

  Lingxue Zhu, Zhenhua Zhou

  428-451

  https://doi.org/10.4208/aamm.OA-2018-0160

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  43333 3161

• Non-Steady Creep Analysis of FGM Rotating Disc Using GDQ Method

  Hodais Zharfi, Hamid Ekhteraei-Toussi

  452-466

  https://doi.org/10.4208/aamm.OA-2017-0343

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  43888 3209

• A Weak Galerkin Method with $C^0$ Element for Fourth Order Linear Parabolic Equation

  Shimin Chai, Yongkui Zou, Wenju Zhao

  467-485

  https://doi.org/10.4208/aamm.OA-2018-0028

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  44440 3061

• Convergence Analysis of Legendre-Collocation Spectral Methods for Second Order Volterra Integro-Differential Equation with Delay

  Weishan Zheng, Yanping Chen, Yunqing Huang

  486-500

  https://doi.org/10.4208/aamm.OA-2018-0121

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  43869 3106

• A Dual-Level Method of Fundamental Solutions in Conjunction with Kernel-Independent Fast Multipole Method for Large-Scale Isotropic Heat Conduction Problems

  Junpu Li, Zhuojia Fu, Wen Chen, Xiaoting Liu

  501-517

  https://doi.org/10.4208/aamm.OA-2018-0148

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  44829 3053

• Modified Moving Least Square Collocation Method for Solving Wave Equations

  Zhentian Huang, Dong Lei, Yuan Wang

  518-534

  https://doi.org/10.4208/aamm.OA-2018-0029

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  44041 2969

• Alternating Direction Implicit Finite Element Method for Multi-Dimensional Black-Scholes Models

  Limei Li, Alexander Lapin, Shuhua Zhang

  535-558

  https://doi.org/10.4208/aamm.OA-2018-0144

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  44990 3044