This article is cited in 1 scientific paper (total in 1 paper)
On implicit Runge–Kutta methods received as a result of inversion of explicit methods
L. M. Skvortsov
Bauman Moscow State Technical University
Inverse methods for explicit Runge–Kutta methods are considered. Such methods have a number of advantages, but their drawback is the low (1st) stage order. It leads to reduction of real order when solving stiff and differential-algebraic equations. The new methods possessing properties of methods of higher stage order are offered. Results of numerical experiments show that the offered methods allow us to avoid an order reduction.
inverse Runge–Kutta methods, stiff equations, differential-algebraic equations, order reduction phenomenon.
PDF file (396 kB)
Mathematical Models and Computer Simulations, 2017, 9:4, 498–510
L. M. Skvortsov, “On implicit Runge–Kutta methods received as a result of inversion of explicit methods”, Matem. Mod., 29:1 (2017), 3–19; Math. Models Comput. Simul., 9:4 (2017), 498–510
Citation in format AMSBIB
\paper On implicit Runge--Kutta methods received as a result of inversion of explicit methods
\jour Matem. Mod.
\jour Math. Models Comput. Simul.
Citing articles on Google Scholar:
Related articles on Google Scholar:
This publication is cited in the following articles:
L. M. Skvortsov, “Implicit Runge–Kutta methods with explicit internal stages”, Comput. Math. Math. Phys., 58:3 (2018), 307–321
|Number of views:|