3 papers
math.NA2025
From Memory Model to CPU Time: Exponential Integrators for Advection-Dominated Problems
Thi Tam Dang, Trung Hau Hoang
In this paper, we investigate the application of exponential integrators to advection-dominated problems. We focus on Krylov subspace and Leja interpolation methods to compute the…
math.OC2024
Interior point methods for an algebraic system involving complementarity equations for geomechanical fractures
Trung Hau Hoang
Many applications like subseismic fault modeling, fractured reservoir modeling and interpretation/validation of fault connectivity involve the solution to an elliptic boundary valu…
math.NA2024
How to avoid order reduction in third-order exponential Runge--Kutta methods for problems with non-commutative operators?
Thi Tam Dang, Trung Hau Hoang
This paper investigates the performance of a subclass of exponential integrators, specifically explicit exponential Runge--Kutta methods. It is well known that third-order methods…