Articles

• Spectral Analysis for Preconditioning of Multi-Dimensional Riesz Fractional Diffusion Equations

  Xin Huang, Xue-Lei Lin, Michael K. Ng, Hai-Wei Sun

  565-591

  https://doi.org/10.4208/nmtma.OA-2022-0032

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  42005 3178

• Two-Step Two-Sweep Modulus-Based Matrix Splitting Iteration Method for Linear Complementarity Problems

  Maryam Bashirizadeh, Masoud Hajarian

  592-619

  https://doi.org/10.4208/nmtma.OA-2021-0131

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  40130 3098

• Long Time Energy and Kinetic Energy Conservations of Exponential Integrators for Highly Oscillatory Conservative Systems

  Ting Li, Changying Liu, Bin Wang

  620-640

  https://doi.org/10.4208/nmtma.OA-2021-0181

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  39122 2967

• Dual Control Methods for a Mixed Control Problem with Optimal Stopping Arising in Optimal Consumption and Investment

  Jingtang Ma, Jie Xing, Shan Yang

  641-661

  https://doi.org/10.4208/nmtma.OA-2022-0001

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  39702 2969

• A Posteriori Error Analysis of a $P_2$-CDG Space-Time Finite Element Method for the Wave Equation

  Yuling Guo, Jianguo Huang

  662-678

  https://doi.org/10.4208/nmtma.OA-2022-0012

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  38839 2973

• A Unified Fast Memory-Saving Time-Stepping Method for Fractional Operators and Its Applications

  Yuxiang Huang, Qiaoge Li, Rongxin Li, Fanhai Zeng, Ling Guo

  679-714

  https://doi.org/10.4208/nmtma.OA-2022-0023

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  42196 3147

• A Hybrid Scheme of Level Set and Diffuse Interface Methods for Simulating Multi-Phase Compressible Flows

  Meiyan Fu, Tiao Lu

  715-743

  https://doi.org/10.4208/nmtma.OA-2021-0162

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  39299 2836

• Finite Difference Method for Inhomogeneous Fractional Dirichlet Problem

  Jing Sun, Weihua Deng, Daxin Nie

  744-767

  https://doi.org/10.4208/nmtma.OA-2021-0173

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  39578 2952

• A Novel Class of Energy-Preserving Runge-Kutta Methods for the Korteweg-de Vries Equation

  Yue Chen, Yuezheng Gong, Qi Hong, Chunwu Wang

  768-792

  https://doi.org/10.4208/nmtma.OA-2021-0172

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  39530 2983

• The Recovery Guarantee for Orthogonal Matching Pursuit Method to Reconstruct Sparse Polynomials

  Aitong Huang, Renzhong Feng, Sanpeng Zheng

  793-818

  https://doi.org/10.4208/nmtma.OA-2022-0015

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  39584 2927

• Numerical Solution of Partial Differential Equations in Arbitrary Shaped Domains Using Cartesian Cut-Stencil Finite Difference Method. Part II: Higher-Order Schemes

  M. Esmaeilzadeh, R.M. Barron

  819-850

  https://doi.org/10.4208/nmtma.OA-2021-0129

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  38399 2784