23 citations · 119 across the 25 of their papers we have counts for
30 papers
Discontinuity Analysis and Semi-Analytic Spectral Approximation for the Nonlocal Poisson Equation
Thinh Dang, Bacim Alali, Nathan Albin
We study a nonlocal Poisson problem with discontinuous source term and analyze how the regularity of the integral kernel determines the discontinuity structure of the corresponding…
A Fast Algorithm for Finding Minimum Weight Cycles in Mining Cyclic Graph Topologies
Heman Shakeri, Torben Amtoft, Behnaz Moradi-Jamei +2
Cyclic structures are fundamental topological features in graphs, playing critical roles in network robustness, information flow, community structure, and various dynamic processes…
Fourier Spectral Method for Nonlocal Equations on Bounded Domains
Ilyas Mustapha, Bacim Alali, Nathan Albin
This work introduces efficient and accurate spectral solvers for nonlocal equations on bounded domains. These spectral solvers exploit the fact that integration in the nonlocal for…
Regularity of Solutions for Peridynamics Equilibrium and Evolution Equations on Periodic Distributions
Thinh Dang, Bacim Alali, Nathan Albin
Results on the peridynamics equilibrium and evolution equations over the space of periodic vector-distributions in multi-spatial dimensions are presented. The associated operator c…
Regularity of Solutions for the Nonlocal Wave Equation on Periodic Distributions
Thinh Dang, Bacim Alali, Nathan Albin
This work addresses the regularity of solutions for a nonlocal wave equation over the space of periodic distributions. The spatial operator for the nonlocal wave equation is given…
Minimizing the determinant of the graph Laplacian
Nathan Albin, Joan Lind, Anna Melikyan +1
In this paper, we study extremal values for the determinant of the weighted graph Laplacian under simple nondegeneracy conditions on the weights. We derive necessary and sufficient…