2 papers
math.NA2025
Long-time stability and convergence analysis of an IMEX BDF3 scheme for 2-D incompressible Navier-Stokes equation
Kelong Cheng, Jingwei Sun, Hong Zhang
High-order time-stepping schemes are crucial for simulating incompressible fluid flows due to their ability to capture complex turbulent behavior and unsteady motion. In this work,…
math.NA2016
LIRK-W: Linearly-implicit Runge-Kutta methods with approximate matrix factorization
Paul Tranquilli, Adrian Sandu, Hong Zhang
This paper develops a new class of linearly implicit time integration schemes called Linearly-Implicit Runge-Kutta-W (LIRK-W) methods. These schemes are based on an implicit-explic…