This paper deals with the GPL-stability of the Implicit Runge-Kutta methods for the numerical solutions of the systems of delay differential equations. We focus on the stability behaviour of the ...

We investigate the strong stability preserving (SSP) property of two-step Runge-Kutta (TSRK) methods. We prove that all SSP TSRK methods belong to a particularly simple subclass of TSRK methods, in ...

Numerical analysis is the branch of mathematics devoted to the study of algorithms for the approximate solution of problems that often have no closed‐form answer. At its core, numerical analysis seeks ...