Preface: Special Issue on Nonlocal Modeling, Analysis, and Computation

Analysis of Anisotropic Nonlocal Diffusion Models: Well-Posedness of Fractional Problems for Anomalous Transport
Marta D'Elia & Mamikon Gulian

Efficient and Accurate Numerical Methods Using the Accelerated Spectral Deferred Correction for Solving Fractional Differential Equations
Xuejuan Chen, Zhiping Mao & George Em Karniadakis

A Nonlocal Stokes System with Volume Constraints
Qiang Du & Zuoqiang Shi

Stability of Spike Solutions to the Fractional Gierer-Meinhardt System in a One-Dimensional Domain
Daniel Gomez, Jun-Cheng Wei & Wen Yang

A Dual-Horizon Nonlocal Diffusion Model and Its Finite Element Discretization
Mingchao Bi, Lili Ju & Hao Tian

Efficient Hermite Spectral-Galerkin Methods for Nonlocal Diffusion Equations in Unbounded Domains
Huiyuan Li, Ruiqing Liu & Li-Lian Wang

A Robust Hybrid Spectral Method for Nonlocal Problems with Weakly Singular Kernels
Chao Zhang, Guoqing Yao & Sheng Chen

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

$L^1$/Local Discontinuous Galerkin Method for the Time-Fractional Stokes Equation
Changpin Li & Zhen Wang

The Variable-Step $L^1$ Scheme Preserving a Compatible Energy Law for Time-Fractional Allen-Cahn Equation
Hong-Lin Liao, Xiaohan Zhu & Jindi Wang

Two-Phase Image Segmentation by the Allen-Cahn Equation and a Nonlocal Edge Detection Operator
Zhonghua Qiao & Qian Zhang

A Survey of the $L^1$ Scheme in the Discretisation of Time-Fractional Problems
Martin Stynes

Approximation of the Spectral Fractional Powers of the Laplace-Beltrami Operator
Andrea Bonito & Wenyu Lei