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Volumn 84, Issue 1, 2005, Pages 22-37

Janet's approach to presentations and resolutions for polynomials and linear pdes

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EID: 12444314085     PISSN: 0003889X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00013-004-1282-x     Document Type: Article
Times cited : (33)

References (24)
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    • F. CHYZAK, A. QUADRAT and D. ROBERTZ, Effective algorithms for parametrizing linear control systems over Ore algebras. Rapport de Recherche INRIA (2004). Cf. also http://www-sop.inria.fr/cafe/Alban.Quadrat.
    • (2004) Rapport de Recherche INRIA
    • Chyzak, F.1    Quadrat, A.2    Robertz, D.3
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    • (1998) J. Symbolic Computation , vol.26 , pp. 187-227
    • Chyzak, F.1    Salvy, B.2
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    • Über die algebraischen Eigenschaften der Integrale von linearen Differentialgleichungen mit konstanten Koeffizienten
    • German.
    • W. GRÖBNER, Über die algebraischen Eigenschaften der Integrale von linearen Differentialgleichungen mit konstanten Koeffizienten. Monatsh. Math. Phys. 47, 247-284 (1939) (German).
    • (1939) Monatsh. Math. Phys. , vol.47 , pp. 247-284
    • Gröbner, W.1
  • 12
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    • German
    • W. GRÖBNER, Über die Eliminationstheorie. Monatsh. Math. 54, 71-78 (1950) (German).
    • (1950) Monatsh. Math. , vol.54 , pp. 71-78
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    • (2002) Appl. Algebra Eng. Comm. Comput. , vol.13 , pp. 163-207
    • Hausdorf, M.1    Seiler, W.M.2
  • 14
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    • Les modules des formes algébriques et la théorie générale des systèmes différentiels
    • M. JANET, Les modules des formes algébriques et la théorie générale des systèmes différentiels. Ann. Sci. Ecole Norm. Sup. 41(3), 27-65 (1924).
    • (1924) Ann. Sci. Ecole Norm. Sup. , vol.41 , Issue.3 , pp. 27-65
    • Janet, M.1
  • 15
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    • Leçons sur les systèmes des équations aux dérivées partielles
    • Paris
    • M. JANET, Leçons sur les systèmes des équations aux dérivées partielles. Cahiers Scientifiques IV. Paris 1929.
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    • Janet's Algorithm
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    • W. PLESKEN, Janet's Algorithm. In: S. Abenda, G. Gaeta, S. Walcher (eds.), Symmetry and Perturbation Theory (SPT 2002). Singapore 2003.
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    • Zharkov, A.Y.1    Blinkov, Y.A.2
  • 24
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    • Construction of Janet bases: II. Polynomial Bases
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    • Y. A. BLINKOV, V. P. GERDT and D. A. YANOVICH, Construction of Janet bases: II. Polynomial Bases. V. G. Ganzha, E. W. Mayr and E. Vorozhtsov, eds.. Computer Algebra in Scientific Computing CASC 2001, 249-263, Berlin 2001.
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.