Investigations of the accuracy of approximations of semigroups

Investigations of the accuracy of approximations of semigroups

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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 the...

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Bibliographic Details
Main Author: Vilkienė, Monika
Other Authors: Institute of Matematics and Informatics
Format: Doctoral Thesis
Language:English
Published: Lithuanian Academic Libraries Network (LABT) 2011
Subjects:
Mathematics
Semigroups
Euler's approximations
Yosida approximations
Asymptotic expansions
Convergence rate
Pusgrupės
Eulerio aproksimacijos
Josidos aproksimacijos
Asimptotiniai skleidiniai
Konvergavimo greitis
Online Access:http://vddb.laba.lt/fedora/get/LT-eLABa-0001:E.02~2011~D_20110502_093122-83414/DS.005.1.01.ETD

Internet

http://vddb.laba.lt/fedora/get/LT-eLABa-0001:E.02~2011~D_20110502_093122-83414/DS.005.1.01.ETD

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