3 papers
math.NA2025
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…
math.NA2025
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…
math.NA2020
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…