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Summary: JOURNAl OF
COMPUTATIONAl AND
APrUED MATHEMATICS
ELSEV!ER Journa! of Computationa! and Applieu Müthenwtics 121 (2000) 421-464
ww\v.dsevier.nliJoc
Interval analysis: theory and applications
Götz Alefcld1l,., (;Üntcr ~'laycrb
"Institut fÜr Angewandte !vlathematik, [Jn1rersitiit Karlsruhe. D-76128 Karlsrulu:, Germany
bFaddn:reich Mathematik. Uni!wsitiit Rosf<)ck, D-18051 &)s!ock, Germtmy
Recclved 13 August 1999
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Abstract
We give an overview on applicationsof interval arithmetic.Amongothers we discuss veriucationmcthous for linear
systCrn..5üf cquatio!Js, nonlinear systems, the algebruic eigenvalue problem, initial valu<:problems for ODEs and boundary
v;Üu<:lor PDEs of scc\)ud order. \Ve also considcr the itcm software in lhis I1dd
remarks. @ 2000 E!scvier Sciencc RV. AU rights reservcd.
Contellts
1. Historiea! rernarks and introduct!on
2. Definitions, notations ami bask facts
3. the mnge (jf wal fom:tions hy intet"lia!arithmclic wols
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