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20202025
most citedBenchmark computations of the phase field crystal and functionalized Cahn-Hilliard equations via fully implicit, Nesterov accelerated schemes

15 citations · 15 across the 4 of their papers we have counts for

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math.NA2022★ 15 cited

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…

math.NA2020

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…