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Discrete physics with conservation and Galilean invariance

โœ Scribed by D. Greenspan

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
620 KB
Volume
38
Category
Article
ISSN
0895-7177

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โœฆ Synopsis

In this paper, we show how to avoid continuum concepts altogether for both Newtonian mechanics and for special relativistic mechanics.

For Newtonian mechanics, we will establish all the usual conservation laws. For both Newtonian mechanics and for special relativistic mechanics, we will prove Galilean invariance for inertial systems. For easy comparison, discrete and continuous concepts will often be juxtaposed.

๐Ÿ“œ SIMILAR VOLUMES

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โœ Bouchut, F. ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 150 KB

We consider numerical methods which exactly preserve the GaussยฑPoisson equation when solving the charge conservation and MaxwellยฑAmpeร re's equations. Apart from the well-known leap-frog method, we present two situations where this property is veriยฎed, one with rectangular mesh and functions deยฎned