Arbitrary order, Hamiltonian conserving numerical solutions of Calogero and Toda systems
type: Item
instance of: scholarly article
title: Arbitrary order, Hamiltonian conserving numerical solutions of Calogero and Toda systems
zbMATH Open document ID: 0734.65059
DOI: 10.1016/0898-1221(91)90178-7
author: Donald Greenspan
author: Andrzej Marciniak
publication date: 1991-01-01T00:00:00Z
full work available at URL: http://hdl.handle.net/10106/2258
review text: Two numerical methods - of arbitrary high order - that yield numerical solutions conserving the Hamiltonian for a Calogero system and a Toda lattice are developed. The methods are based on modifications of conventional polynomial extrapolation for which the Gragg method is used as a basic method. Some examples are considered, from them resulting that the proposed high order methods yield numerical solutions conserving the Hamiltonian exactly and giving at least as good approximations to the exact solutions as those obtained by conventional polynomial extrapolation.
reviewed by: Edmond V. Nicolau
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 37J99
Mathematics Subject Classification ID: 70H05
zbMATH DE Number: 4215293
zbMATH Keywords: Hamiltonian system
zbMATH Keywords: Calogero system
zbMATH Keywords: Toda lattice
zbMATH Keywords: polynomial extrapolation
zbMATH Keywords: Gragg method
MaRDI profile type: Publication
OpenAlex ID: W2018989355
cites work: The solution to a generalized Toda lattice and representation theory
cites work: Q3945634
cites work: Q3921864
cites work: Q3886930
cites work: Conservative numerical methods for \(\ddot x=f(x)\)
cites work: Conservative difference formulations of Calogero and Toda Hamiltonian systems
cites work: Energy conserving, arbitrary order numerical solutions of the n-body problem
cites work: Q3706531
cites work: Q3204097
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 4215293