Construction of unconditionally stable difference schemes based on stability of perturbed difference scheme
Küçük Resim Yok
Tarih
2019
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
In the paper we consider stability of an abstract three-layer “perturbed” difference scheme. The research method is based on obtaining discrete analogs of a priori weight Carleman type estimates [1, 2]. On the basis of stability of the “perturbed” scheme, unconditionally stable difference schemes have been constructed that approximate the ill-posed Cauchy problem, which is associated with the one-dimensional coefficient inverse problem [3].
Açıklama
Anahtar Kelimeler
Difference scheme, ill-posed problem, Perturbed scheme, Stability
Kaynak
International Conference of Mathematical Sciences (ICMS 2019)
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Sultanov, M. A. ve Akylbaev, M. I. (2019). Construction of unconditionally stable difference schemes based on stability of perturbed difference scheme. International Conference of Mathematical Sciences (ICMS 2019). s. 137.
