Articles

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

  Yi Jiang, Meiliang Mao, Xiaogang Deng, Huayong Liu

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  44241 3144 Pages:255-284

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

  Yi Jiang, Meiliang Mao, Xiaogang Deng, Huayong Liu

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  44280 3140 Pages:285-311

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

  Amer Alizadeh, Moran Wang

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  45448 4644 Pages:312-337 Open-access

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

  Mohammed S. Abdo, Satish K. Panchal

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  47775 3271 Pages:338-359

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

  Xiuli Wang, Qilong Zhai, Xiaoshen Wang

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  45357 3389 Pages:360-380

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

  Hongen Jia, Yusha Zhang, Jiaping Yu

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  44677 3214 Pages:381-405

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

  Biao Peng, Chunhua Zhou, Junqiang Ai

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  44305 3138 Pages:406-427

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

  Lingxue Zhu, Zhenhua Zhou

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  43466 3193 Pages:428-451

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

  Hodais Zharfi, Hamid Ekhteraei-Toussi

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  44024 3238 Pages:452-466

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

  Shimin Chai, Yongkui Zou, Wenju Zhao

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  44575 3084 Pages:467-485

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

  Weishan Zheng, Yanping Chen, Yunqing Huang

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  43997 3136 Pages:486-500

• 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

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  44988 3089 Pages:501-517

• Modified Moving Least Square Collocation Method for Solving Wave Equations

  Zhentian Huang, Dong Lei, Yuan Wang

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  44178 3003 Pages:518-534

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

  Limei Li, Alexander Lapin, Shuhua Zhang

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  45131 3075 Pages:535-558