A differential geometric approach to singular perturbations
Jamitzky, F.
arXiv, 9708001 / Harvested from arXiv
Text on arXiv
A differential geometric approach to singular perturbation theory is presented. It is shown that singular perturbation problems such as multiple-scale and boundary layer problems can be treated more easily on a differential geometric basis. A general method is proposed based on differential forms and Lie-derivatives. Examples from multiple scale theory, boundary layer theory and WKB-theory are given and it is demonstrated that without the a priori knowledge of the scaling behaviour of the problem the correct asymptotic expansion can be derived with the aid of differential forms. The method is well suited for a mechanical implementation in computer algebra programs.
Publié le : 1997-08-04
Classification:  Mathematical Physics 
@article{9708001,
     author = {Jamitzky, F.},
     title = {A differential geometric approach to singular perturbations},
     journal = {arXiv},
     volume = {1997},
     number = {0},
     year = {1997},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9708001}
}

Jamitzky, F. A differential geometric approach to singular perturbations. arXiv, Tome 1997 (1997) no. 0, . http://gdmltest.u-ga.fr/item/9708001/