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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…