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Uspekhi Fizicheskikh Nauk, 1980, Volume 130, Number 1, Pages 113–147
DOI: https://doi.org/10.3367/UFNr.0130.198001d.0113 (Mi ufn9098) 		 
This article is cited in 27 scientific papers (total in 27 papers)

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Analytic calculations on digital computers for applications in physics and mathematics

V. P. Gerdt, O. V. Tarasov, D. V. Shirkov

Joint Institute for Nuclear Research, Dubna, Moscow region
Full-text PDF (2331 kB) Citations (27)
DOI: https://doi.org/10.3367/UFNr.0130.198001d.0113
Abstract: The present state of analytic calculations on computers is reviewed. Several programming systems which are used for analytic calculations are discussed: SCHOONSCHIP, CLAM, REDUCE-2, SYMBAL, CAMAL, AVTO-ANALITIK, MACSYMA, etc. It is shown that these systems can be used to solve a wide range of problems in physics and mathematics. Some physical applications are discussed in celestial mechanics, the general theory of relativity, quantum field theory, plasma physics, hydrodynamics, atomic and molecular physics, and quantum chemistry. Some mathematical applications which are discussed are evaluating indefinite integrals, solving differential equations, and analyzing mathematical expressions. This review is addressed to physicists and mathematicians working in a wide range of fields.
English version:
Physics–Uspekhi, 1980, Volume 23, Issue 1, Pages 59–77
DOI: https://doi.org/10.1070/PU1980v023n01ABEH004898
Document Type: Article
UDC: [51 + 53]:681.142
PACS: 89.80.+h, 02.70.+d
Language: Russian
Citation: V. P. Gerdt, O. V. Tarasov, D. V. Shirkov, “Analytic calculations on digital computers for applications in physics and mathematics”, UFN, 130:1 (1980), 113–147; Phys. Usp., 23:1 (1980), 59–77
Citation in format AMSBIB
\Bibitem{GerTarShi80}
\by V.~P.~Gerdt, O.~V.~Tarasov, D.~V.~Shirkov
\paper Analytic calculations on digital computers for applications in physics and mathematics
\jour UFN
\yr 1980
\vol 130
\issue 1
\pages 113--147
\mathnet{http://mi.mathnet.ru/ufn9098}
\crossref{https://doi.org/10.3367/UFNr.0130.198001d.0113}
\transl
\jour Phys. Usp.
\yr 1980
\vol 23
\issue 1
\pages 59--77
\crossref{https://doi.org/10.1070/PU1980v023n01ABEH004898}
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    • This publication is cited in the following 27 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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