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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1990, Volume 30, Number 12, Pages 1827–1833 (Mi zvmmf3165)  
This article is cited in 2 scientific papers (total in 2 papers)

Computation of functions in the algebra of triangular Toeplitz matrices and numerical inversion of the Laplace transform

R. P. Tarasov

Moscow
Full-text PDF (623 kB) Citations (2)
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Abstract: Embedding in the group of fractional powers yields a numerical functional calculus in the algebra of triangular Toeplitz matrices with one generator. Within this calculus, methods are described for the numerical inversion of the Laplace transform, differing from currently known methods in its greater stability to round-off errors. Examples are given of numerical inversion for the case in which the source functions are either regular or can be represented as singular generalized functions.
Received: 09.01.1990
Revised: 29.03.1990
English version:
USSR Computational Mathematics and Mathematical Physics, 1990, Volume 30, Issue 6, Pages 162–167
DOI: https://doi.org/10.1016/0041-5553(90)90125-C
Bibliographic databases:
Document Type: Article
UDC: 519.677
MSC: Primary 65R10; Secondary 44A10
Language: Russian
Citation: R. P. Tarasov, “Computation of functions in the algebra of triangular Toeplitz matrices and numerical inversion of the Laplace transform”, Zh. Vychisl. Mat. Mat. Fiz., 30:12 (1990), 1827–1833; U.S.S.R. Comput. Math. Math. Phys., 30:6 (1990), 162–167
Citation in format AMSBIB
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\by R.~P.~Tarasov
\paper Computation of functions in the algebra of triangular Toeplitz matrices and numerical inversion of the Laplace transform
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1990
\vol 30
\issue 12
\pages 1827--1833
\mathnet{http://mi.mathnet.ru/zvmmf3165}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1099148}
\zmath{https://zbmath.org/?q=an:0715.65101}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1990
\vol 30
\issue 6
\pages 162--167
\crossref{https://doi.org/10.1016/0041-5553(90)90125-C}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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