Articles

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

  • Preview
  • Requires Subscription Full PDF

  43684 3041 Pages:i-vi

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

  Marta D’Elia, Mamikon Gulian

  • Preview
  • Requires Subscription Full PDF

  46701 3294 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

  • Preview
  • Requires Subscription Full PDF

  37662 3010 Pages:876-902

• A Nonlocal Stokes System with Volume Constraints

  Qiang Du, Zuoqiang Shi

  • Preview
  • Requires Subscription Full PDF

  37096 2993 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

  • Preview
  • Requires Subscription Full PDF

  37117 3034 Pages:938-989

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

  Mingchao Bi, Lili Ju, Hao Tian

  • Preview
  • Requires Subscription Full PDF

  37449 3007 Pages:990-1008

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

  Huiyuan Li, Ruiqing Liu, Li-Lian Wang

  • Preview
  • Requires Subscription Full PDF

  37243 2998 Pages:1009-1040

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

  Chao Zhang, Guoqing Yao, Sheng Chen

  • Preview
  • Requires Subscription Full PDF

  36223 2962 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

  • Preview
  • Requires Subscription Full PDF

  36306 2954 Pages:1063-1098

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

  Changpin Li, Zhen Wang

  • Preview
  • Requires Subscription Full PDF

  38018 3027 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

  • Preview
  • Requires Subscription Full PDF

  36719 2885 Pages:1128-1146

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

  Zhonghua Qiao, Qian Zhang

  • Preview
  • Requires Subscription Full PDF

  36704 2885 Pages:1147-1172

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

  Martin Stynes

  • Preview
  • Requires Subscription Full PDF

  40247 3077 Pages:1173-1192

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

  Andrea Bonito, Wenyu Lei

  • Preview
  • Requires Subscription Full PDF

  46540 3366 Pages:1193-1218

• Author Index to Volume 15

  • Preview
  • Requires Subscription Full PDF

  322 92 Pages:1219-1220