Minimal cubature formulae of degree 3 for integrals over the surface of the torus

被引:1
作者
Noskov, MV [1 ]
Schmid, HJ [1 ]
机构
[1] UNIV ERLANGEN NURNBERG,INST MATH,D-8520 ERLANGEN,GERMANY
关键词
cubature formulae; torus; ideal theory; integration;
D O I
10.1007/BF02247406
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In this note a minimal cubature formula of degree 3 will be determined for integrals over the surface of the torus with arbitrary radii. The construction is based on a normalization of the problem, ideal theory, and computer algebra.
引用
收藏
页码:213 / 223
页数:11
相关论文
共 6 条
  • [1] GODZINA G, 1994, THESIS ERLANGEN
  • [2] MINIMUM-POINT CUBATURE FORMULAS
    MOLLER, HM
    [J]. NUMERISCHE MATHEMATIK, 1976, 25 (02) : 185 - 200
  • [3] MOLLER HM, 1973, THESIS U DORTMUND
  • [4] MOSKOV MV, 1992, VESTNIK ST PETERBU 1, P100
  • [5] SCHMID HJ, 1983, DISS MATH, V220, P1
  • [6] Stroud AH., 1971, Approximate Calculation of Multiple Integrals