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On the numerical solution of non-linear equations characterizing minimal cubature formulae

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Publication:1143132
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DOI10.1007/BF02281729zbMath0441.65022OpenAlexW319820023MaRDI QIDQ1143132

Hans Joachim Schmid

Publication date: 1980

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02281729


zbMATH Keywords

minimal cubature formulaesystem of quadratic equations


Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)


Related Items

The construction of cubature formulae by continuation ⋮ The construction of cubature formulae for a family of integrals: A bifurcation problem ⋮ Zur Charakterisierung und Berechnung von symmetrischen Kubaturformeln



Cites Work

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  • On cubature formulae with a minimal number of knots
  • Kubaturformeln mit minimaler Knotenzahl
  • Quasi-Newton Methods, Motivation and Theory
  • Construction of Algebraic Cubature Rules Using Polynomial Ideal Theory


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