Global modified Hamiltonian for constrained symplectic integrators
type: Item
instance of: scholarly article
title: Global modified Hamiltonian for constrained symplectic integrators
zbMATH Open document ID: 1041.65102
author: Ernst Hairer
published in: Numerische Mathematik
publication date: 2003-09-16T00:00:00Z
full work available at URL: unige:12278
review text: This paper shows that the numerical solution arising from certain classes of partitioned Runge-Kutta methods (such as the Lobatto IIA--IIIB pair) applied to constrained Hamiltonian systems is equal to the exact solution of a constrained Hamiltonian problem with a globally defined modified Hamiltonian. This theory is illustrated in the case of the equations of motion of an unsymmetric top.
reviewed by: Kevin Burrage
Mathematics Subject Classification ID: 65P10
Mathematics Subject Classification ID: 37M15
zbMATH DE Number: 1982597
zbMATH Keywords: partitioned Runge-Kutta method
zbMATH Keywords: Hamiltonian system
zbMATH Keywords: symplectic integrator
MaRDI profile type: Publication
OpenAlex ID: W2050979556
DOI: 10.1007/S00211-002-0428-7
description: scientific article; zbMATH DE number 1982597