The paper is devoted to some applications of the theory of
simultaneously dissipative operators to interval analysis
and chemical cinetics. The main object under study is a harmful ``wrapping effect`` that widely reveals itself in computer solution of evolutionary differential equations with interval parameters. We managed to prove that the infinrtesimal wrapping effect is ``typical``, which explais the low efficacy of the traditional stepwise methods for the numerical solution of interval differential problems.
Author(s):
Gorban Aleksandr NikolaevichOffice: Institut Computing Simulation of SB RAS
Address: 660036, Russia, Krasnoyarsk, Akademgorodok
Shokin Yuriy IvanovichDr. , Academician RAS, Professor
Position: Scientific Director of the Institute
Office: Federal Research Center for Information and Computational Technologies
Address: 630090, Russia, Novosibirsk, Ac. Lavrentiev ave., 6
Phone Office: (383) 334 91 10
E-mail: shokin@ict.nsc.ru
SPIN-code: 6442-4180
Verbitskii V.I.Address: 660036, Russia, Krasnoyarsk, Akademgorodok
