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Article information
1997 , Volume 2, ¹ 4, p.16-48
Gorban A.N., Shokin Y.I., Verbitskii V.I.
Simultaneeously dissipative operators and the infinitesimal moore effect in interval spaces
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.
[full text] Author(s):
Gorban Aleksandr Nikolaevich
Office: Institut Computing Simulation of SB RAS
Address: 660036, Russia, Krasnoyarsk, Akademgorodok
Shokin Yuriy Ivanovich
Dr. , 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: 6442-4180Verbitskii V.I.
Address: 660036, Russia, Krasnoyarsk, Akademgorodok
Bibliography link:
Gorban A.N., Shokin Y.I., Verbitskii V.I. Simultaneeously dissipative operators and the infinitesimal moore effect in interval spaces // Computational technologies. 1997. V. 2. ¹ 4. P. 16-48
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