Embedded symmetric nested implicit Runge–Kutta methods of Gauss and Lobatto types for solving stiff ordinary differential equations and Hamiltonian systems

A technique for constructing nested implicit Runge–Kutta methods in the class of mono-implicit formulas of this type is studied. These formulas are highly efficient in practice, since the dimension of the original system of differential equations is preserved, which is not possible in the case of im...

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Bibliographic Details
Published in:	Computational mathematics and mathematical physics Vol. 55; no. 6; pp. 983 - 1003
Main Author:	Kulikov, G. Yu
Format:	Journal Article
Language:	English
Published:	Moscow Pleiades Publishing 01.06.2015 Springer Nature B.V
Subjects:	Analysis Computational mathematics Computational Mathematics and Numerical Analysis Computer science Construction Costs Differential equations Mathematical analysis Mathematical models Mathematics Mathematics and Statistics Matlab Mesh generation Methods Numerical analysis Ordinary differential equations Partial differential equations Physics Production methods Runge-Kutta method Studies Symmetry nested implicit Runge–Kutta method numerical methods stiff initial value problem Hamiltonian equations embedded formulas automatic error control solutions of ordinary differential equations Runge–Kutta methods of Gauss and Lobatto types
ISSN:	0965-5425, 1555-6662
Online Access:	Get full text
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