Articles

• Preface: Special Issues on Nonlocal Modeling, Analysis, and Computation

  i-vi

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  43486 2985

• Analysis of Anisotropic Nonlocal Diffusion Models: Well-Posedness of Fractional Problems for Anomalous Transport

  Marta D’Elia, Mamikon Gulian

  851-875

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

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  46480 3231

• Efficient and Accurate Numerical Methods Using the Accelerated Spectral Deferred Correction for Solving Fractional Differential Equations

  Xuejuan Chen, Zhiping Mao, George Em Karniadakis

  876-902

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

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  37445 2941

• A Nonlocal Stokes System with Volume Constraints

  Qiang Du, Zuoqiang Shi

  903-937

  https://doi.org/10.4208/nmtma.OA-2022-0002s

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  36894 2941

• Stability of Spike Solutions to the Fractional Gierer-Meinhardt System in a One-Dimensional Domain

  Daniel Gomez, Jun-Cheng Wei, Wen Yang

  938-989

  https://doi.org/10.4208/nmtma.OA-2022-0003s

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  36898 2970

• A Dual-Horizon Nonlocal Diffusion Model and Its Finite Element Discretization

  Mingchao Bi, Lili Ju, Hao Tian

  990-1008

  https://doi.org/10.4208/nmtma.OA-2022-0004s%20

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  37238 2954

• Efficient Hermite Spectral-Galerkin Methods for Nonlocal Diffusion Equations in Unbounded Domains

  Huiyuan Li, Ruiqing Liu, Li-Lian Wang

  1009-1040

  https://doi.org/10.4208/nmtma.OA-2022-0007s

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  37014 2938

• A Robust Hybrid Spectral Method for Nonlocal Problems with Weakly Singular Kernels

  Chao Zhang, Guoqing Yao, Sheng Chen

  1041-1062

  https://doi.org/10.4208/nmtma.OA-2022-0006s%20

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  36003 2916

• Galerkin Finite Element Approximation for Semilinear Stochastic Time-Tempered Fractional Wave Equations with Multiplicative Gaussian Noise and Additive Fractional Gaussian Noise

  Yajing Li, Yejuan Wang, Weihua Deng, Daxin Nie

  1063-1098

  https://doi.org/10.4208/nmtma.OA-2022-0013s

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  36076 2886

• L1/Local Discontinuous Galerkin Method for the Time-Fractional Stokes Equation

  Changpin Li, Zhen Wang

  1099-1127

  https://doi.org/10.4208/nmtma.OA-2022-0010s

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  37740 2939

• The Variable-Step L1 Scheme Preserving a Compatible Energy Law for Time-Fractional Allen-Cahn Equation

  Hong-Lin Liao, Xiaohan Zhu, Jindi Wang

  1128-1146

  https://doi.org/10.4208/nmtma.OA-2022-0011s

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  36487 2831

• Two-Phase Image Segmentation by the Allen-Cahn Equation and a Nonlocal Edge Detection Operator

  Zhonghua Qiao, Qian Zhang

  1147-1172

  https://doi.org/10.4208/nmtma.OA-2022-0008s

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  36460 2817

• A Survey of the L1 Scheme in the Discretisation of Time-Fractional Problems

  Martin Stynes

  1173-1192

  https://doi.org/10.4208/nmtma.OA-2022-0009s

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  39881 2900

• Approximation of the Spectral Fractional Powers of the Laplace-Beltrami Operator

  Andrea Bonito, Wenyu Lei

  1193-1218

  https://doi.org/10.4208/nmtma.OA-2022-0005s

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  46308 3275

• Author Index to Volume 15

  1219-1220

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  126 45