2 papers
math.NA2026
Error Bound and Stability Analysis for a Randomized Singly Diagonally Implicit Runge-Kutta Method
Monika Eisenmann, Marvin Jans, Raphael Kruse +1
A randomized Singly Diagonally Implicit Runge-Kutta (SDIRK) method, based on the randomized trapezoidal rule as the underlying quadrature scheme, is proposed. Every realization of…
math.NA2021
Isomeric trees and the order of Runge--Kutta methods
John C. Butcher, Helmut Podhaisky
The conditions for a Runge--Kutta method to be of order with for a scalar non-autonomous problem are a proper subset of the order conditions for a vector problem. Neve…