activity
20142023
most citedAccurate numerical methods for two and three dimensional integral fractional Laplacian with applications

83 citations · 218 across the 5 of their papers we have counts for

collaborators

5 papers

cs.CL2023

ClusTop: An unsupervised and integrated text clustering and topic extraction framework

Zhongtao Chen, Chenghu Mi, Siwei Duo +2

Text clustering and topic extraction are two important tasks in text mining. Usually, these two tasks are performed separately. For topic extraction to facilitate clustering, we ca…

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…

math-ph2014★ 45 cited

Computing the ground and first excited states of the fractional Schrodinger equation in an infinite potential well

Siwei Duo, Yanzhi Zhang

In this paper, we numerically study the ground and first excited states of the fractional Schrodinger equation in an infinite potential well. Due to the non-locality of the fractio…