A short note on the stability of a class of parallel Runge-Kutta methods

05/31/2023
by   Friedemann Kemm, et al.
0

With this short note, we close a gap in the linear stability theory of block predictor-corrector Runge-Kutta schemes originally proposed for the parallel solution of ODEs.

READ FULL TEXT

page 1

page 2

page 3

page 4

research
05/22/2022

A note on the probabilistic stability of randomized Taylor schemes

We study the stability of randomized Taylor schemes for ODEs. We conside...
research
08/01/2021

Choice number of Kneser graphs

In this short note, we show that for any ϵ >0 and k<n^0.5-ϵ the choice n...
research
05/22/2013

PAWL-Forced Simulated Tempering

In this short note, we show how the parallel adaptive Wang-Landau (PAWL)...
research
01/13/2018

The Efficiency Gap Does Not Satisfy the Efficiency Principle

We prove that the efficiency gap does not satisfy the efficiency princip...
research
11/18/2022

A Note on Generating Sets for Semiflows

In this short note, we are interested in discussing characteristics of f...
research
09/03/2023

The Information Geometry of UMAP

In this note we highlight some connections of UMAP to the basic principl...
research
06/07/2020

On forward invariance in Lyapunov stability theorem for local stability

Forward invariance of a basin of attraction is often overlooked when usi...

Please sign up or login with your details

Forgot password? Click here to reset