2 papers
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…
physics.comp-ph2020
A single-step third-order temporal discretization with Jacobian-free and Hessian-free formulations for finite difference methods
Youngjun Lee, Dongwook Lee
Discrete updates of numerical partial differential equations (PDEs) rely on two branches of temporal integration. The first branch is the widely-adopted, traditionally popular appr…