implicit solvers 1mixed precision 1partial differential equations 1performance evaluation 1runge-kutta methods 1stabilized corrections 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.NA2026
Performance Evaluation of Stabilized Corrections for Mixed Precision Runge--Kutta Methods
César Herrera, John Driscoll, Sigal Gottlieb +3
The paper numerically evaluates the runtime and accuracy of stabilized correction techniques for mixed‑precision diagonally implicit Runge‑Kutta methods applied to nonlinear PDEs,…
math.NA2026
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…
math.NA2026
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…