| Title |
Investigations of the accuracy of approximations of semigroups / |
| Translation of Title |
Pusgrupių aproksimacijų tikslumo tyrimai. |
| Authors |
Vilkienė, Monika |
| Full Text |
|
| Pages |
71 |
| Keywords [eng] |
semigroups ; Euler's approximations ; Yosida approximations ; asymptotic expansions ; convergence rate |
| Abstract [eng] |
In this thesis we investigate the convergence of Euler's and Yosida approximations of operator semigroups. We obtain asymptotic expansions for Euler's approximations of semigroups with optimal bounds for the remainder terms. We provide various explicit formulas for the coefficients for these expansions. For Yosida approximations of semigroups we obtain two optimal error bounds with optimal constants. We also construct asymptotic expansions for Yosida approximations of semigroups and provide optimal bounds for the remainder terms of these expansions. |
| Type |
Doctoral thesis |
| Language |
English |
| Publication date |
2011 |
