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Interpolatorische Kubaturformeln und reelle Ideale

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Literatur

  1. Davis, P.J.: A construction of nonnegative approximate quadratures. Math. Comput.21, 578–587 (1967)

    Google Scholar 

  2. Dubois, D.W., Efroymson, G.: Algebraic theory of real varieties, In: Studies and essays presented to Yu-Why Chen on his sixtieth birthday, pp. 107–135. Taipei: Academia Sinica 1970

    Google Scholar 

  3. Möller, H.M.: Kubaturformeln mit minimaler Knotenzahl. Numer. Math.25, 242–245 (1976)

    Google Scholar 

  4. Morrow, C.R., Patterson, T.N.L.: Construction of algebraic cubature rules using polynomial ideal theory. SIAM J. Numer. Anal.15, 953–976 (1978)

    Google Scholar 

  5. Mysovskikh, I.P.: Numerical characteristics of orthogonal polynomials on two variables [in Russ.)]. Vestnik Leningrad Univ. Mat. Meh. Astronom.19, 46–53 (1970)

    Google Scholar 

  6. Mysovskikh, I.P.: Interpolatorische Kubaturformeln. In: Theorie von Kubaturformeln und Anwendung der Funktionalanalysis auf gewisse Probleme der Mathematischen Physik. (Novosibirsk 1973), pp. 73–90. Isdatelstvo “Nauka”, Sibirskoje otdelenie Hrsgb. S.L. Sobolev

  7. Risler, J.J.: Une charactérisation des idéaux des variétés algébriques réelles. C.R. Acad. Sci. Paris Sér. A271, 1171–1173 (1970)

    Google Scholar 

  8. Schmid, H.J.: On Cubature Formulae with a minimal number of knots. Number. Math.31, 282–297 (1978)

    Google Scholar 

  9. Schmid, H.J.: Construction of cubature formulae using real ideals. In: Multivariate Approximation Theory, ed. by W. Schmepp and K. Zeller. ISNM 51, 359–377. Basel, Boston, Stuttgart: Birkhäuser 1979

    Google Scholar 

  10. Stroud, A.H.: Approximate calculation of multiple integrals. Englewood Cliffs, New Jersey: Prentice Hall 1971

    Google Scholar 

  11. Wilson, M.W.: A general algorithm for nonnegative quadrature formulas. Math. Comput.23, 253–258 (1969)

    Google Scholar 

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Diese Arbeit ist mit Unterstützung des von der DFG getragenen SFB 72 an der Universität Bonn entstanden

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Schmid, H.J. Interpolatorische Kubaturformeln und reelle Ideale. Math Z 170, 267–282 (1980). https://doi.org/10.1007/BF01214866

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  • DOI: https://doi.org/10.1007/BF01214866

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