|
Descripción
|
|
|---|---|
| We develop a geometric version of the inverse problem of the calculus of variations for discrete mechanics and constrained discrete mechanics. The geometric approach consists of using suitable Lagrangian and isotropic submanifolds. We also provide a transition between the discrete and the continuous problems and propose variationality as an interesting geometric property to take into account in the design and computer simulation of numerical integrators for constrained systems. For instance, nonholonomic mechanics is generally non variational but some special cases admit an alternative variational description. We apply some standard nonholonomic integrators to such an example to study which ones conserve this property. | |
|
Internacional
|
Si |
|
JCR del ISI
|
Si |
|
Título de la revista
|
Journal of Physics a-Mathematical And Theoretical |
|
ISSN
|
1751-8113 |
|
Factor de impacto JCR
|
1,963 |
|
Información de impacto
|
|
|
Volumen
|
51 (18) |
|
DOI
|
|
|
Número de revista
|
185202 |
|
Desde la página
|
1 |
|
Hasta la página
|
39 |
|
Mes
|
SIN MES |
|
Ranking
|
|