Articles

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

  i-vi

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

  Marta D’Elia, Mamikon Gulian

  851-875

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• 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

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• A Nonlocal Stokes System with Volume Constraints

  Qiang Du, Zuoqiang Shi

  903-937

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

  Daniel Gomez, Jun-Cheng Wei, Wen Yang

  938-989

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

  Mingchao Bi, Lili Ju, Hao Tian

  990-1008

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

  Huiyuan Li, Ruiqing Liu, Li-Lian Wang

  1009-1040

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

  Chao Zhang, Guoqing Yao, Sheng Chen

  1041-1062

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• 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

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

  Changpin Li, Zhen Wang

  1099-1127

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• 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

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

  Zhonghua Qiao, Qian Zhang

  1147-1172

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

  Martin Stynes

  1173-1192

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

  Andrea Bonito, Wenyu Lei

  1193-1218

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• Author Index to Volume 15

  1219-1220

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