๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Equivalence of Discrete Euler Equations and Discrete Hamiltonian Systems

โœ Scribed by C.D. Ahlbrandt


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
736 KB
Volume
180
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Symplectic Structure of Discrete Hamilto
โœ Yuming Shi ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 68 KB

This paper is concerned with the symplectic structure of discrete nonlinear Hamiltonian systems. The results are related to an open problem that was first proposed by C. D. Ahlbrandt [J. Math. Anal. Appl. 180 (1993), 498-517] discussed elsewhere in the literature. But we give a different statement a

The Euler Characteristics of Discrete Ob
โœ Atsushi Imiya; Ulrich Eckhardt ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 139 KB

Assuming planar 4-connectivity and spatial 6-connectivity, we first introduce the curvature indices of the boundary of a discrete object, and, using these indices of points, we define the vertex angles of discrete surfaces as an extension of the chain codes of digital curves. Second, we prove the re

Euler-like discrete models of the logist
โœ K. Grote; R. Meyer-Spasche ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 911 KB

To understand the behavior of difference schemes on nonlinear differential equations, it seems desirable to extend the standard linear stability theory into a nonlinear theory. As a step in that direction, we investigate the stability properties of Euler-related integration algorithms by checking ho

On the Hamiltonian structure of Hirota-K
โœ Matteo Petrera; Yuri B. Suris ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 93 KB

## Abstract This paper deals with a remarkable integrable discretization of the __so__ (3) Euler top introduced by Hirota and Kimura. Such a discretization leads to an explicit map, whose integrability has been understood by finding two independent integrals of motion and a solution in terms of ell