The stability of rational approximations of analytic semigroups
Journal article, 1993
This paper contains two new characterizations of generators of analytic semigroups of linear operators in a Banach space. These characterizations do not require use of complex numbers. One is used to give a new proof that strongly elliptic second order partial differential operators generate analytic semigroups inL p , 1
Analytic semigroup - Banach space - rational approximation - A-acceptable - A(theta)-acceptable - stability - Crank-Nicolson method
Author
Michel Crouzeix
Stig Larsson
Department of Mathematics
University of Gothenburg
Sergei Piskarev
Vidar Thomee
Department of Mathematics
University of Gothenburg
BIT (Copenhagen)
0006-3835 (ISSN) 15729125 (eISSN)
Vol. 33 1 74-84Subject Categories
Computational Mathematics
Roots
Basic sciences
DOI
10.1007/BF01990345