In this paper we continue analyzing the possible applications of nonstandard analysis to variational problems, with particular interest in classical mechanics. In particular, we adapt various techniques of numerical analysis to solve the nonstandard version of the Euler-Lagrange equation for both one-and multidimensional systems. We also start an introductory analysis of the inverse problem of the calculus of variation, identifying a class of nonstandard difference equations for which a first-order Lagrangian can be obtained.
|Numero di pagine||23|
|Rivista||International Journal of Theoretical Physics|
|Stato di pubblicazione||Published - 1999|
All Science Journal Classification (ASJC) codes
- Physics and Astronomy (miscellaneous)