83 citations · 218 across the 5 of their papers we have counts for
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math.NA2018★ 32 cited
Numerical approximations for the tempered fractional Laplacian: Error analysis and applications
Siwei Duo, Yanzhi Zhang
In this paper, we propose an accurate finite difference method to discretize the -dimensional (for ) tempered integral fractional Laplacian and apply it to study the tem…
math.NA2018★ 83 cited
Accurate numerical methods for two and three dimensional integral fractional Laplacian with applications
Siwei Duo, Yanzhi Zhang
In this paper, we propose accurate and efficient finite difference methods to discretize the two- and three-dimensional fractional Laplacian () in hype…
math.NA2017★ 58 cited
A comparative study on nonlocal diffusion operators related to the fractional Laplacian
Siwei Duo, Hong Wang, Yanzhi Zhang
In this paper, we study four nonlocal diffusion operators, including the fractional Laplacian, spectral fractional Laplacian, regional fractional Laplacian, and peridynamic operato…