35 citations · 41 across the 6 of their papers we have counts for
7 papers
Efficient high-order two-derivative DIRK methods with optimized phase errors
Julius Ehigie, Vu Thai Luan
This work constructs and analyzes new efficient high-order two-derivative diagonally implicit Runge--Kutta (TDDIRK) schemes with optimized phase errors. Specifically, we present a…
Efficient and Flexible Multirate Temporal Adaptivity
Daniel R. Reynolds, Sylvia Amihere, Dashon Mitchell +1
In this work we present two new families of multirate time step adaptivity controllers, that are designed to work with embedded multirate infinitesimal (MRI) time integration metho…
A representation theorem for set-valued submartingales
Luc Tri Tuyen, Vu Thai Luan
The integral representation theorem for martingales has been widely used in probability theory. In this work, we propose and prove a general representation theorem for a class of s…
Multirate Exponential Rosenbrock Methods
Vu Thai Luan, Rujeko Chinomona, Daniel R. Reynolds
In this paper we propose a novel class of methods for high order accurate integration of multirate systems of ordinary differential equation initial-value problems. The proposed me…
Efficient exponential Runge--Kutta methods of high order: construction and implementation
Vu Thai Luan
Exponential Runge--Kutta methods have shown to be competitive for the time integration of stiff semilinear parabolic PDEs. The current construction of stiffly accurate exponential…
A new class of high-order methods for multirate differential equations
Vu Thai Luan, Rujeko Chinomona, Daniel R. Reynolds
This work focuses on the development of a new class of high-order accurate methods for multirate time integration of systems of ordinary differential equations. The proposed method…
Further development of efficient and accurate time integration schemes for meteorological models
Vu Thai Luan, Janusz A. Pudykiewicz, Daniel R. Reynolds
In this paper, we investigate the use of higher-order exponential Rosenbrock time integration methods on the shallow water equations on the sphere. This stiff, nonlinear model prov…