On implicit Runge–Kutta methods obtained as a result of the inversion of explicit methods
- Authors: Skvortsov L.M.1
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Affiliations:
- Bauman State Technical University
- Issue: Vol 9, No 4 (2017)
- Pages: 498-510
- Section: Article
- URL: https://journals.rcsi.science/2070-0482/article/view/201847
- DOI: https://doi.org/10.1134/S2070048217040123
- ID: 201847
Cite item
Abstract
We consider methods that are the inverse of the explicit Runge–Kutta methods. Such methods have some advantages, while their disadvantage is the low (first) stage order. This reduces the accuracy and the real order in solving stiff and differential-algebraic equations. New methods possessing properties of methods of a higher stage order are proposed. The results of the numerical experiments show that the proposed methods allow us to avoid reducing the order.
About the authors
L. M. Skvortsov
Bauman State Technical University
Author for correspondence.
Email: lm_skvo@rambler.ru
Russian Federation, Moscow, 105005
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