Articles

• A Few Benchmark Test Cases for Higher-Order Euler Solvers

  Liang Pan, Jiequan Li & Kun Xu

  711-736

  https://doi.org/10.4208/nmtma.2017.0018

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

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  41287 4224

• Blowup of Volterra Integro-Differential Equations and Applications to Semi-Linear Volterra Diffusion Equations

  Zhanwen Yang, Tao Tang & Jiwei Zhang

  737-759

  https://doi.org/10.4208/nmtma.2016.0001

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  40269 2817

• Evaluation Algorithm of PHT-Spline Surfaces

  Zhihua Wang, Falai Chen & Jiansong Deng

  760-774

  https://doi.org/10.4208/nmtma.2017.0003

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  39460 2694

• Sparse Recovery via ℓ$_q$-Minimization for Polynomial Chaos Expansions

  Ling Guo, Yongle Liu & Liang Yan

  775-797

  https://doi.org/10.4208/nmtma.2017.0001

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  39679 2730

• Itô-Taylor Schemes for Solving Mean-Field Stochastic Differential Equations

  Yabing Sun, Jie Yang & Weidong Zhao

  798-828

  https://doi.org/10.4208/nmtma.2017.0007

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  39376 2709

• Finite Element and Discontinuous Galerkin Methods with Perfect Matched Layers for American Options

  Haiming Song, Kai Zhang & Yutian Li

  829-851

  https://doi.org/10.4208/nmtma.2017.0020

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  39394 2682

• Learning Non-Negativity Constrained Variation for Image Denoising and Deblurring

  Tengda Wei, Linshan Wang, Ping Lin, Jialing Chen, Yangfan Wang & Haiyong Zheng

  852-871

  https://doi.org/10.4208/nmtma.2017.m1653

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  38691 2583

• Adaptive Dimensionality-Reduction for Time-Stepping in Differential and Partial Differential Equations

  Xing Fu & J. Nathan Kutz

  872-894

  https://doi.org/10.4208/nmtma.2017.m1624

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  39267 2622

• Solving Constrained TV2L1-L2 MRI Signal Reconstruction via an Efficient Alternating Direction Method of Multipliers

  Tingting Wu, David Z. W. Wang, Zhengmeng Jin & Jun Zhang

  895-912

  https://doi.org/10.4208/nmtma.2017.m1664

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  39632 2684

• Anisotropic Mesh Adaptation for 3D Anisotropic Diffusion Problems with Application to Fractured Reservoir Simulation

  Xianping Li & Weizhang Huang

  913-940

  https://doi.org/10.4208/nmtma.2017.m1625

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  39104 2662

• Author Index to Volume 10

  941-942

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  103 24