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On the solution of hyperbolic equations using the peridynamic differential operator
Ali Can Bekar, Erdogan Madenci and Ehsan Haghighat Computer Methods in Applied Mechanics and Engineering 391 114574 (2022) https://doi.org/10.1016/j.cma.2022.114574
A new nonlocal calculus framework. Helmholtz decompositions, properties, and convergence for nonlocal operators in the limit of the vanishing horizon
A Petrov-Galerkin method for nonlocal convection-dominated diffusion problems
Yu Leng, Xiaochuan Tian, Leszek Demkowicz, Hector Gomez and John T. Foster Journal of Computational Physics 452 110919 (2022) https://doi.org/10.1016/j.jcp.2021.110919
Towards a Unified theory of Fractional and Nonlocal Vector Calculus
Marta D’Elia, Mamikon Gulian, Hayley Olson and George Em Karniadakis Fractional Calculus and Applied Analysis 24(5) 1301 (2021) https://doi.org/10.1515/fca-2021-0057
Numerical methods for nonlocal and fractional models