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Some approximating formulae to the solution of an abstract evolution problem

Abstract

We consider discrete semigroups of operators associated with the first two primary sub-families of A-acceptable Norsett`s rational approximations to e{sup q}, S{sub 1}({gamma};q) and S{sub 2}({gamma};q) with q is an element of C and {gamma} a real parameter, and construct approximating formulae to the solution of an abstract evolution problem. The study of convergence is reduced to exploiting previous fundamental results of the author for this class of semigroups and this results, for associated numerical schemes, in a convergence independent of the regularity of the data of the problem. (author). 17 refs, 3 tabs.
Authors:
Publication Date:
Dec 01, 1991
Product Type:
Technical Report
Report Number:
IC-91/401
Reference Number:
SCA: 661100; PA: AIX-23:055066; SN: 92000775140
Resource Relation:
Other Information: PBD: Dec 1991
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; INTEGRAL EQUATIONS; NUMERICAL SOLUTION; ALGORITHMS; CONVERGENCE; GROUP THEORY; PADE APPROXIMATION; PARTIAL DIFFERENTIAL EQUATIONS; 661100; CLASSICAL AND QUANTUM MECHANICS
OSTI ID:
10157727
Research Organizations:
International Centre for Theoretical Physics (ICTP), Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ON: DE92636738; TRN: XA9231160055066
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
17 p.
Announcement Date:
Jul 06, 2005

Citation Formats

Ngongo, M E. Some approximating formulae to the solution of an abstract evolution problem. IAEA: N. p., 1991. Web.
Ngongo, M E. Some approximating formulae to the solution of an abstract evolution problem. IAEA.
Ngongo, M E. 1991. "Some approximating formulae to the solution of an abstract evolution problem." IAEA.
@misc{etde_10157727,
title = {Some approximating formulae to the solution of an abstract evolution problem}
author = {Ngongo, M E}
abstractNote = {We consider discrete semigroups of operators associated with the first two primary sub-families of A-acceptable Norsett`s rational approximations to e{sup q}, S{sub 1}({gamma};q) and S{sub 2}({gamma};q) with q is an element of C and {gamma} a real parameter, and construct approximating formulae to the solution of an abstract evolution problem. The study of convergence is reduced to exploiting previous fundamental results of the author for this class of semigroups and this results, for associated numerical schemes, in a convergence independent of the regularity of the data of the problem. (author). 17 refs, 3 tabs.}
place = {IAEA}
year = {1991}
month = {Dec}
}