Structure-preserving numerical methods for infinite-dimensional Birkhoffian systems
type: Item
instance of: scholarly article
title: Structure-preserving numerical methods for infinite-dimensional Birkhoffian systems
zbMATH Open document ID: 1338.65273
author: Hongling Su
author: Shengtai Li
published in: Journal of Scientific Computing
publication date: 2015-12-09T00:00:00Z
review text: The formulation of the Birkhoffian system is taken as a generalization of the Hamiltonian system, it can describe the non-conservative system. In this paper, the authors generalize the idea of Birkhoffian ordinary differential equations to the partial differential equation case. They claim that they have constructed numerical methods for the infinite-dimensional Birkhoffian system by generating function theory and provide numerical experiments to verify the theoretical results.
Mathematics Subject Classification ID: 65P10
Mathematics Subject Classification ID: 37M15
zbMATH DE Number: 6518081
zbMATH Keywords: structure-preserving method
zbMATH Keywords: infinite-dimensional Birkhoffian formalism
zbMATH Keywords: symplectic scheme
zbMATH Keywords: generating function method
zbMATH Keywords: conservation law
zbMATH Keywords: Hamiltonian system
zbMATH Keywords: numerical experiment
MaRDI profile type: Publication
full work available at URL: s10915-014-9958-2
OpenAlex ID: W2084329518
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DOI: 10.1007/S10915-014-9958-2
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description: scientific article; zbMATH DE number 6518081