2 papers
math.NA2024
A high order, block finite difference, error inhibiting scheme for the transport equation
Adi Ditkowski, Anne Le Blanc, Chi-Wang Shu
We propose a block finite difference, error inhibiting scheme that is fourth-order accurate for short to moderate times and has a six-order convergence rate for long times. This sc…
math.NA2020
Error Inhibiting Methods for Finite Elements
Adi Ditkowski, Anne Le Blanc, Chi-Wang Shu
Finite Difference methods (FD) are one of the oldest and simplest methods for solving partial differential equations (PDE). Block Finite Difference methods (BFD) are FD methods in…