Approximating and preconditioning the stiffness matrix in the GoFD approximation of the fractional Laplacian
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 …
typically dense and needs to be approximated numerically. The effect of the accuracy in …
A study on fractional centered difference scheme for high-dimensional integral fractional Laplacian operator with {ω}-circulant preconditioner
LK Chou, W Qu, YY Huang, SL Lei - Mathematics and Computers in …, 2024 - Elsevier
Fundamental properties for the coefficients of a second-order finite difference approximation
of the fractional Laplacian in d≥ 2 dimensions are derived in this paper. The obtained decay …
of the fractional Laplacian in d≥ 2 dimensions are derived in this paper. The obtained decay …
Meshfree finite difference solution of homogeneous Dirichlet problems of the fractional Laplacian
A so-called grid-overlay finite difference method (GoFD) was proposed recently for the
numerical solution of homogeneous Dirichlet boundary value problems (BVPs) of the …
numerical solution of homogeneous Dirichlet boundary value problems (BVPs) of the …