On Approximation of Integrated Semigroups

Miao Li; Sergey Piskarev

doi:10.11650/twjm/1500406067

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Home > Journals > Taiwanese J. Math. > Volume 14 > Issue 6 > Article

2010 On Approximation of Integrated Semigroups

Miao Li, Sergey Piskarev

Taiwanese J. Math. 14(6): 2137-2161 (2010). DOI: 10.11650/twjm/1500406067

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Abstract

This paper is devoted to approximation of integrated semigroups in space and in time variables. The presentation is given in the abstract framework of discrete approximation scheme, which includes finite element methods, finite difference schemes and projection method.

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Miao Li. Sergey Piskarev. "On Approximation of Integrated Semigroups." Taiwanese J. Math. 14 (6) 2137 - 2161, 2010. https://doi.org/10.11650/twjm/1500406067

Information

Published: 2010

First available in Project Euclid: 18 July 2017

zbMATH: 1221.65138

MathSciNet: MR2742356

Digital Object Identifier: 10.11650/twjm/1500406067

Subjects:

Primary: 34G10 , 47D06 , 65J20 , 65J22

Keywords: $C_0$-semigroups , abstract differential equations in Banach spaces , ‎Banach spaces , difference schemes , discrete semigroups , discretization methods , integrated semigroups , stability of difference schemes , Trotter-Kato theorem

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