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Energy conservation in modified Nyström methods for separable Hamiltonian systems

Arnold, Martin and Pfeiffer, Andreas (2003) Energy conservation in modified Nyström methods for separable Hamiltonian systems. Proc. Appl. Math. Mech., GAMM, 2003-03-24 - 2003-03-28, Padua.

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Abstract

Numerical integration methods that preserve structural properties of time dependent differential equations have often improved stability and smaller errors in long-term simulations than classical standard methods like Runge-Kutta or BDF. In the present paper an energy conserving Galerkin type approach of Betsch and Steinmann is generalized to modified Nyström methods for separable Hamiltonian systems. The benefits of this new class of methods are illustrated by numerical tests for a benchmark problem from celestial mechanics.

Document Type:Conference or Workshop Item (Paper)
Additional Information:LIDO-Berichtsjahr=2004, monograph_id=DOI 10.1002/pamm.200310547,
Title:Energy conservation in modified Nyström methods for separable Hamiltonian systems
Authors:
AuthorsInstitution or Email of Authors
Arnold, MartinUNSPECIFIED
Pfeiffer, AndreasUNSPECIFIED
Date:November 2003
Volume:3
Page Range:pp. 557-558
Status:Published
Keywords:Energy conservation. Nyström method, Hamiltonian system
Event Title:Proc. Appl. Math. Mech., GAMM
Event Location:Padua
Event Type:international Conference
Event Dates:2003-03-24 - 2003-03-28
HGF - Research field:Energy
HGF - Program:other
HGF - Program Themes:E - no assignement
DLR - Research area:Energy
DLR - Program:E - no assignement
DLR - Research theme (Project):E -- no assignement
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Robotics and Mechatronics
Deposited By: elib DLR-Beauftragter
Deposited On:21 Feb 2006
Last Modified:12 Dec 2013 20:02

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