Computer Algebra Algorithms

Kaltofen, Erich

doi:10.1146/annurev.cs.02.060187.000515

Cited by 9 publications

(6 citation statements)

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“…studiert werden, siehe [27] algebra-Gruppen und zur ACM SIGSAM gepflegt. Im Leitungsgremium der ISSAC-Konferenzreihe 38 , eine der führenden Computeralgebra-Konferenzen, ist seit diesem Jahr die Fachgruppe als institutionelles Mitglied vertreten. Im Jahre 1998 wird diese jährliche Konferenz als Satellitenkonferenz zum ICM 39 wieder in Deutschland stattfinden.…”

Section: Genetikunclassified

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Computeralgebra - eine Säule* des Wissenschaftlichen Rechnens / Computer-Algebra - a Part of the Foundation of Scientific Computing

Grabmeier¹

1995

it - Information Technology

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Section: Genetikunclassified

“…Weitere Ubersichtsartikel zur Computeralgebra sind [9], [38], [33], [20] und [11]. Bücher mit Themen der Computeralgebra allgemein sind [40], [8], [14], [25], [54] und [73], Weitere Literaturhinweise zu Schwerpunkten und Spezialthemen sind in [17] zu finden.…”

Section: It+ti 6/95unclassified

Computeralgebra - eine Säule* des Wissenschaftlichen Rechnens / Computer-Algebra - a Part of the Foundation of Scientific Computing

Grabmeier¹

1995

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“…Solving indefinite integrals is not an isolated case: there also exist algorithms for solving higher-order differential equations, finding roots of polynomials symbolically, and factoring multivariate polynomials over various coefficient domains. Kaltofen [16] and Davenport et al [8] provides overviews of the field of computer algebra.…”

Section: A Scientific Basismentioning

confidence: 99%

A Scientific Basis for Computational Science

Valdés-Pérez¹

1993

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Computational science is a productive intellectual activity. It produces highly useful co.aputer programs that require much creativity and ingenuity to develop. Moreover, computation is a powerful theoretical tool for natural scientists. However, can computational science have a scientific foundation, quite apart from its roles as a juxtaposition of disciplines and as another theoretical tool for scientists? That is, can computational science develop concepts that enable a broad systematic understanding of inference and discovery in science? This paper makes a case for an affirmative answer that relies on the concept of "generic scientific task." We will argue that theoretical understanding is to be attained by identifying and automating such tasks. To develop the idea, we configure samples of previous work in computational science (broadly construed), lay a road map to guide further research, and suggest experimental tools to generate research problems and to redeploy proven techniques.

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“…In this section we shall comment on some recent results on polynomial factoring, irreducible and primitive polynomials and polynomial decomposition with respect to substitution. Some survey articles are available on most of these topics, see yon zur Gathen (1988), Kaltofen (1987b), Lenstra (1990b), Niederreiter (1991) and Shparlinskiy (1990).…”

Section: Polynomials Over Finite Fieldsmentioning

confidence: 99%