15 citations · 15 across the 4 of their papers we have counts for
4 papers
A perturbed preconditioned gradient descent method for the unconstrained minimization of composite objectives
Jea-Hyun Park, Abner J. Salgado, Steven M. Wise
We introduce a perturbed preconditioned gradient descent (PPGD) method for the unconstrained minimization of a strongly convex objective with a locally Lipschitz continuous gra…
Finite flocking time of the nonlinear Cucker--Smale model with Rayleigh friction type using the discrete -Laplacian
Jong-Ho Kim, Young Ju Lee, Jea-Hyun Park
The study of collective behavior in multi-agent systems has attracted the attention of many researchers due to its wide range of applications. Among them, the Cucker-Smale model wa…
Benchmark computations of the phase field crystal and functionalized Cahn-Hilliard equations via fully implicit, Nesterov accelerated schemes
Jea-Hyun Park, Abner Salgado, Steven Wise
We introduce a fast solver for the phase field crystal (PFC) and functionalized Cahn-Hilliard (FCH) equations with periodic boundary conditions on a rectangular domain that feature…
Preconditioned accelerated gradient descent methods for locally Lipschitz smooth objectives with applications to the solution of nonlinear PDEs
Jea-Hyun Park, Abner J. Salgado, Steven M. Wise
We develop a theoretical foundation for the application of Nesterov's accelerated gradient descent method (AGD) to the approximation of solutions of a wide class of partial differe…