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Perturbed Runge–Kutta Methods for Mixed Precision Applications
Journal of Scientific Computing, 2020In this work we consider a mixed precision approach to accelerate the implementation of multi-stage methods. We show that Runge–Kutta methods can be designed so that certain costly intermediate computations can be performed as a lower-precision ...
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Diagonally implicit Runge–Kutta methods for stiff ODEs
, 2019Based principally on a recent review of diagonally implicit Runge–Kutta (DIRK) methods applied to stiff first-order ordinary differential equations (ODEs) by the present authors, several nearly optimal, general purpose, DIRK-type methods are presented ...
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