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  • 2000-2004  (2)
  • 1985-1989  (1)
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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Computing 40 (1988), S. 229-240 
    ISSN: 1436-5057
    Keywords: 65D32 ; 65H10 ; Symmetric cubature formulas
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Zusammenfassung Die Gewichte und Knoten einer symmetrischen Kubaturformel werden durch Lösung eines nichtlinearen Gleichungsystems bestimmt. die Anzahl der Gleichungen und ihre Struktur werden für symmetrische Kubaturformeln für das Quadrat und das Dreieck untersucht. Eine neue Kubaturformel vom Grad 7 mit 12 Knoten wird für das Dreieck angegeben.
    Notes: Abstract The weights and nodes of a symmetric cubature formula are determined by solving a system of nonlinear equations. The number of equations and their structure are investigated for symmetric cubature formulas for the square and the triangle. A new cubature formula of degree 7 with 12 nodes is given for the triangle.
    Type of Medium: Electronic Resource
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  • 2
    Title: Computer algebra methods for equivariant dynamical systems; 1728
    Author: Gatermann, Karin
    Publisher: Berlin u.a. :Springer,
    Year of publication: 2000
    Pages: 153 S.
    Series Statement: Lecture notes in mathematics 1728
    Type of Medium: Book
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  • 3
    Publication Date: 2014-02-26
    Description: The polynomial differential system modelling the behavior of a chemical reaction is given by graphtheoretic structures. The concepts from toric geometry are applied to study the steady states and stable steady states. Deformed toric varieties give some insight and enable graph theoretic interpretations. The importance of the circuits in the directed graph are emphazised. The counting of positive solutions of a sparse polynomial system by B.\ Sturmfels is generalized to the counting of stable positive solutions in case of a polynomial differential equation. The generalization is based on a method by sparse resultants to detect whether a system may have a Hopf bifurcation. Special examples from chemistry are used to illustrate the theoretical results.
    Keywords: ddc:000
    Language: English
    Type: reportzib , doc-type:preprint
    Format: application/postscript
    Format: application/pdf
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