164 citations · 646 across the 18 of their papers we have counts for
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math.NA2021★ 11 cited
GP-MOOD: A positive-preserving high-order finite volume method for hyperbolic conservation laws
Rémi Bourgeois, Dongwook Lee
We present an a posteriori shock-capturing finite volume method algorithm called GP-MOOD that solves a compressible hyperbolic conservative system at high-order solution accuracy (…
math.NA2021
A recursive system-free single-step temporal discretization method for finite difference methods
Youngjun Lee, Dongwook Lee, Adam Reyes
Single-stage or single-step high-order temporal discretizations of partial differential equations (PDEs) have shown great promise in delivering high-order accuracy in time with eff…
math.NA2020★ 6 cited
An Application of Gaussian Process Modeling for High-order Accurate Adaptive Mesh Refinement Prolongation
Steven I. Reeves, Dongwook Lee, Adam Reyes +2
We present a new polynomial-free prolongation scheme for Adaptive Mesh Refinement (AMR) simulations of compressible and incompressible computational fluid dynamics. The new method…