From the 1 of 5 linked papers with an AI index.
5 papers
Performance Evaluation of Stabilized Corrections for Mixed Precision Runge--Kutta Methods
César Herrera, César Herrera, John Driscoll +4
The paper numerically evaluates the runtime and accuracy of stabilized correction techniques for mixed‑precision diagonally implicit Runge‑Kutta methods applied to nonlinear PDEs,…
Smooth perturbations of diagonally implicit Runge--Kutta methods
John Driscoll, Sigal Gottlieb, Zachary J. Grant +3
A mixed accuracy framework for Runge--Kutta methods presented in [Grant, JSC 2022] has been shown to speed up the computation in diagonally implicit Runge--Kutta (DIRK) methods by…
Stable corrections for perturbed diagonally implicit Runge--Kutta methods
John Driscoll, Sigal Gottlieb, Zachary J. Grant +4
A mixed accuracy framework for Runge--Kutta methods presented in Grant [JSC 2022] and applied to diagonally implicit Runge--Kutta (DIRK) methods can significantly speed up the comp…
Mixed precision and mixed accuracy explicit two-derivative Runge--Kutta methods
Sigal Gottlieb, Zachary J. Grant, Cesar Herrera
Mixed precision Runge--Kutta methods have been recently developed and used for the time-evolution of partial differential equations. Two-derivative Runge--Kutta schemes may offer e…
A review of high order strong stability preserving two-derivative explicit, implicit, and IMEX methods
Sigal Gottlieb, Zachary J. Grant
High order strong stability preserving (SSP) time discretizations ensure the nonlinear non-inner-product strong stability properties of spatial discretizations suited for the stabl…