3 papers
physics.comp-ph2025
Latent Space Dynamics Identification for Interface Tracking with Application to Shock-Induced Pore Collapse
Seung Whan Chung, Christopher Miller, Youngsoo Choi +3
Capturing sharp, evolving interfaces remains a central challenge in reduced-order modeling, especially when data is limited and the system exhibits localized nonlinearities or disc…
math.NA2017
EPIRK-W and EPIRK-K time discretization methods
Mahesh Narayanamurthi, Paul Tranquilli, Adrian Sandu +1
Exponential integrators are special time discretization methods where the traditional linear system solves used by implicit schemes are replaced with computing the action of matrix…
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…