This paper presents a family of generalized multistep methods that evolves the numerical
solution of ordinary differential equations on configuration spaces formulated as homogeneous
manifolds. Any classical multistep method may be employed as an invariant method, and
the order of the invariant method is as high as in the classical setting. We present numerical
results that reflect some of the properties of the multistep methods.
AMS Subject Classification: 65L06, 34A50
Key Words: geometric...
%0 Journal Article
%1 citeulike:71330
%A Faltinsen, Stig
%A Marthinsen, Arne
%A Munthe-Kaas, Hans Z.
%D 2001
%J Applied Numerical Mathematics: Transactions of IMACS
%K differential equations manifolds
%N 3--4
%P 349--365
%T Multistep methods integrating ordinary differential equations on manifolds
%U http://citeseer.ist.psu.edu/67978.html
%V 39
%X This paper presents a family of generalized multistep methods that evolves the numerical
solution of ordinary differential equations on configuration spaces formulated as homogeneous
manifolds. Any classical multistep method may be employed as an invariant method, and
the order of the invariant method is as high as in the classical setting. We present numerical
results that reflect some of the properties of the multistep methods.
AMS Subject Classification: 65L06, 34A50
Key Words: geometric...
@article{citeulike:71330,
abstract = {This paper presents a family of generalized multistep methods that evolves the numerical
solution of ordinary differential equations on configuration spaces formulated as homogeneous
manifolds. Any classical multistep method may be employed as an invariant method, and
the order of the invariant method is as high as in the classical setting. We present numerical
results that reflect some of the properties of the multistep methods.
AMS Subject Classification: 65L06, 34A50
Key Words: geometric...},
added-at = {2007-08-18T13:22:24.000+0200},
author = {Faltinsen, Stig and Marthinsen, Arne and Munthe-Kaas, Hans Z.},
biburl = {https://www.bibsonomy.org/bibtex/29c29230139143dc9cf1e58d072db5f01/a_olympia},
citeulike-article-id = {71330},
description = {citeulike},
interhash = {735b7439ed8df617086348211899d154},
intrahash = {9c29230139143dc9cf1e58d072db5f01},
journal = {Applied Numerical Mathematics: Transactions of IMACS},
keywords = {differential equations manifolds},
number = {3--4},
pages = {349--365},
timestamp = {2007-08-18T13:22:58.000+0200},
title = {Multistep methods integrating ordinary differential equations on manifolds},
url = {http://citeseer.ist.psu.edu/67978.html},
volume = 39,
year = 2001
}