Stability, bifurcations and non-linear eigenvalue problems in physics
Küçük Resim Yok
Tarih
2009
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Maltepe Üniversitesi
Erişim Hakkı
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Özet
A major number of physics problems related to the study of the stability of solutions of differential equations can be interpreted as nonlinear eigenvalue problems. In this study we offer an effective numerical method for solving such problems. This method is based on the continuous analog of Newton’s method. The linearized equations occurring at every iteration are solved using a spline-collocation scheme. Concrete examples of applying the method to various physical problems are demonstrated.
Açıklama
Anahtar Kelimeler
Stability, Bifurcations, Newton method, Josephson junctions
Kaynak
International Conference of Mathematical Sciences
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Bayadjiev, T. L. (2009). Stability, bifurcations and non-linear eigenvalue problems in physics. Maltepe Üniversitesi. s. 373.
