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A Convergence Theorem for the Parareal Algorithm Revisited

Numerical Analysis 2024-05-14 v1 Numerical Analysis

Abstract

The subject of the paper is to verify the convergence conditions for the parareal algorithm using Gander and Hairer's theorem . The analysis is conducted in the case where the coarse integrator is the Euler method and the high-accuracy integrator is an explicit Runge-Kutta type method.

Cite

@article{arxiv.2405.06954,
  title  = {A Convergence Theorem for the Parareal Algorithm Revisited},
  author = {Ernest Scheiber},
  journal= {arXiv preprint arXiv:2405.06954},
  year   = {2024}
}

Comments

14 pages

R2 v1 2026-06-28T16:24:04.131Z