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The stability of rational approximations of analytic semigroups

Crouzeix, Michel (author)
Larsson, Stig, 1952 (author)
Gothenburg University,Göteborgs universitet,Institutionen för matematik,Department of Mathematics,Chalmers tekniska högskola,Chalmers University of Technology,University of Gothenburg
Piskarev, Sergei (author)
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Thomee, Vidar, 1933 (author)
Gothenburg University,Göteborgs universitet,Institutionen för matematik,Department of Mathematics,Chalmers tekniska högskola,Chalmers University of Technology,University of Gothenburg
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 (creator_code:org_t)
1993
1993
English.
In: BIT Numer. Math.. - 0006-3835 .- 1572-9125. ; 33:1, s. 74-84
  • Journal article (peer-reviewed)
Abstract Subject headings
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  • 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

Subject headings

NATURVETENSKAP  -- Matematik -- Beräkningsmatematik (hsv//swe)
NATURAL SCIENCES  -- Mathematics -- Computational Mathematics (hsv//eng)

Keyword

Analytic semigroup - Banach space - rational approximation - A-acceptable - A(theta)-acceptable - stability - Crank-Nicolson method
Analytic semigroup - Banach space - rational approximation - A-acceptable - A(theta)-acceptable - stability - Crank-Nicolson method

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