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math.NA2026
Nonlinear parametrization solver for fractional Burgers equations
Haojun Qin, Zhiwei Gao, Jinye Shen +1
Fractional Burgers equations pose substantial challenges for classical numerical methods due to the combined effects of nonlocality and shock-forming nonlinear dynamics. In particu…
math.NA2024
Approximating and preconditioning the stiffness matrix in the GoFD approximation of the fractional Laplacian
Weizhang Huang, Jinye Shen
In the finite difference approximation of the fractional Laplacian the stiffness matrix is typically dense and needs to be approximated numerically. The effect of the accuracy in a…