This article is cited in 6 papers

Efficient implementation of diagonally implicit Runge–Kutta methods

L. M. Skvortsov, O. S. Kozlov

Bauman Moscow State Technical University

Abstract: Efficient schemes for the implementation of diagonally implicit Runge-Kutta methods are considered. Methods of 3-rd and 4-th orders are implemented. They are compared with known implicit solvers when applied to stiff and differential-algebraic problems.

Keywords: diagonally implicit Runge–Kutta methods, stiff problems, differential-algebraic problems, efficient implementation.

UDC: 519.622

Received: 12.09.2012

 English version: Mathematical Models and Computer Simulations, 2014, 6:4, 415–424

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