Runge–Kutta type methods with special properties for the numerical integration of ordinary differential equations
In this work we review single step methods of the Runge–Kutta type with special properties.
Among them are methods specially tuned to integrate problems that exhibit a pronounced …
Among them are methods specially tuned to integrate problems that exhibit a pronounced …
[PDF][PDF] Exponentially fitted symplectic Runge–Kutta–Nyström methods
In this work we consider symplectic Runge Kutta Nyström (SRKN) methods with three
stages. We construct a fourth order SRKN with constant coefficients and a trigonometrically …
stages. We construct a fourth order SRKN with constant coefficients and a trigonometrically …
[HTML][HTML] Construction of an optimized explicit Runge–Kutta–Nyström method for the numerical solution of oscillatory initial value problems
Abstract An explicit optimized Runge–Kutta–Nyström method with four stages and fifth
algebraic order is developed. The produced method has variable coefficients with zero …
algebraic order is developed. The produced method has variable coefficients with zero …
[HTML][HTML] On modified Runge–Kutta trees and methods
Modified Runge–Kutta (mRK) methods can have interesting properties as their coefficients
may depend on the step length. By a simple perturbation of very few coefficients we may …
may depend on the step length. By a simple perturbation of very few coefficients we may …
Construction of exponentially fitted symplectic Runge–Kutta–Nyström methods from partitioned Runge–Kutta methods
In this work, we give the general framework for constructing trigonometrically fitted
symplectic Runge–Kutta–Nyström (RKN) methods from symplectic trigonometrically fitted …
symplectic Runge–Kutta–Nyström (RKN) methods from symplectic trigonometrically fitted …
Present state-of-the-art in exponential fitting. A contribution dedicated to Liviu Ixaru on his 70th birthday
B Paternoster - Computer Physics Communications, 2012 - Elsevier
The standard monograph in this area is the book Exponential fitting by Ixaru and Vanden
Berghe (Kluwer, Boston-Dordrecht-London, 2004) but a fresh look on things is necessary …
Berghe (Kluwer, Boston-Dordrecht-London, 2004) but a fresh look on things is necessary …
Symplectic conditions for exponential fitting Runge-Kutta-Nyström methods
A Tocino, J Vigo-Aguiar - Mathematical and Computer Modelling, 2005 - Elsevier
Symplectic Conditions for Exponential Fitting Runge-Kutta-NystrSm Methods Page 1 ELSEVIER
MATHEMATICAL Available online at www.sciencedirect.com 8CIENCE ~___~DIRECT e …
MATHEMATICAL Available online at www.sciencedirect.com 8CIENCE ~___~DIRECT e …
A symplectic exponentially fitted modified Runge–Kutta–Nyström method for the numerical integration of orbital problems
H Van de Vyver - New Astronomy, 2005 - Elsevier
A symplectic exponentially fitted modified Runge–Kutta–Nyström method for the numerical
integration of orbital problems - ScienceDirect Skip to main contentSkip to article Elsevier …
integration of orbital problems - ScienceDirect Skip to main contentSkip to article Elsevier …
Exponentially fitted symplectic integrators of RKN type for solving oscillatory problems
JM Franco - Computer Physics Communications, 2007 - Elsevier
A class of explicit modified Runge–Kutta–Nyström (RKN) methods for the numerical
integration of second-order IVPs with oscillatory solutions is presented. The symplecticness …
integration of second-order IVPs with oscillatory solutions is presented. The symplecticness …
[HTML][HTML] Structure preservation of exponentially fitted Runge–Kutta methods
M Calvo, JM Franco, JI Montijano, L Rández - Journal of computational and …, 2008 - Elsevier
The preservation of some structure properties of the flow of differential systems by numerical
exponentially fitted Runge–Kutta (EFRK) methods is considered. A complete …
exponentially fitted Runge–Kutta (EFRK) methods is considered. A complete …