Articles

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

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  43579 3016 Pages:i-vi

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

  Marta D’Elia, Mamikon Gulian

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  46585 3267 Pages:851-875

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

  Xuejuan Chen, Zhiping Mao, George Em Karniadakis

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  37550 2985 Pages:876-902

• A Nonlocal Stokes System with Volume Constraints

  Qiang Du, Zuoqiang Shi

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  36983 2968 Pages:903-937

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

  Daniel Gomez, Jun-Cheng Wei, Wen Yang

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  37004 3005 Pages:938-989

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

  Mingchao Bi, Lili Ju, Hao Tian

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  37337 2981 Pages:990-1008

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

  Huiyuan Li, Ruiqing Liu, Li-Lian Wang

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  37124 2971 Pages:1009-1040

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

  Chao Zhang, Guoqing Yao, Sheng Chen

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  36102 2938 Pages:1041-1062

• 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

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  36184 2928 Pages:1063-1098

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

  Changpin Li, Zhen Wang

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  37868 2991 Pages:1099-1127

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

  Hong-Lin Liao, Xiaohan Zhu, Jindi Wang

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  36587 2861 Pages:1128-1146

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

  Zhonghua Qiao, Qian Zhang

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  36587 2859 Pages:1147-1172

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

  Martin Stynes

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  40070 3025 Pages:1173-1192

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

  Andrea Bonito, Wenyu Lei

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  46415 3331 Pages:1193-1218

• Author Index to Volume 15

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  215 74 Pages:1219-1220