8 citations · 16 across the 9 of their papers we have counts for
4 papers · 1 filter
Structure-preserving, energy stable numerical schemes for a liquid thin film coarsening model
Juan Zhang, Cheng Wang, Steven M. Wise +1
In this paper, two finite difference numerical schemes are proposed and analyzed for the droplet liquid film model, with a singular Leonard-Jones energy potential involved. Both fi…
A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system
Chun Liu, Cheng Wang, Steven M. Wise +2
In this paper we propose and analyze a finite difference numerical scheme for the Poisson-Nernst-Planck equation (PNP) system. To understand the energy structure of the PNP model,…
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…
Doubly Degenerate Diffuse Interface Models of Anisotropic Surface Diffusion
Marco Salvalaglio, Maximilian Selch, Axel Voigt +1
We extend the doubly degenerate Cahn-Hilliard (DDCH) models for isotropic surface diffusion, which yield more accurate approximations than classical degenerate Cahn-Hilliard (DCH)…