Continuous-Stage Runge-Kutta approximation to Differential Problems
Numerical Analysis
2022-04-22 v1 Numerical Analysis
Abstract
In recent years, the efficient numerical solution of Hamiltonian problems has led to the definition of a class of energy-conserving Runge-Kutta methods named Hamiltonian Boundary Value Methods (HBVMs). Such methods admit an interesting interpretation in terms of continuous-stage Runge-Kutta methods, which is here recalled and revisited for general differential problems.
Keywords
Cite
@article{arxiv.2203.11189,
title = {Continuous-Stage Runge-Kutta approximation to Differential Problems},
author = {Pierluigi Amodio and Luigi Brugnano and Felice Iavernaro},
journal= {arXiv preprint arXiv:2203.11189},
year = {2022}
}
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20 pages