Construction of Runge–Kutta type methods for solving ordinary differential equations

In this paper, we study Runge–Kutta methods with continuous stage, introduced by Butcher in 1987. By setting the coefficients of this family of methods and choosing the appropriate numerical integration, we derive new classes of Runge–Kutta methods. Furthermore, we extend the W-transformation techni...

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Bibliographic Details
Published in:	Applied mathematics and computation Vol. 234; pp. 179 - 191
Main Authors:	Tang, Wensheng, Sun, Yajuan
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 15.05.2014
Subjects:	(Conjugate) Symplectic method Computation Conjugates Construction Differential equations Energy-preserving method Hamiltonian system Mathematical models Numerical integration Runge-Kutta method Runge–Kutta method with continuous stage Symmetric method W-transformation Energy-preserving method Hamiltonian system (Conjugate) Symplectic method Runge–Kutta method with continuous stage Symmetric method W-transformation
ISSN:	0096-3003, 1873-5649
Online Access:	Get full text
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