The multi-dimensional version of ∫ba xpdx

American Mathematical Monthly

Volumn 108, Issue 2, 2001, Pages 151-154

  Lasserre, Jean B ^a   Avrachenkov, Konstantin E ^b  

^a LAAS CNRS   (France)

^b INRIA   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035529459     PISSN: 00029890     EISSN: None     Source Type: Journal    
DOI: 10.2307/2695528     Document Type: Article

References (7)

1. I.J. Good and T.N. Tideman, Integration over a simplex, truncated cubes, and Eulerian numbers, Numer. Math. 30(1978) 355-367.
2. A. Grundmann and H.M. Moeller, Invariant integration formulas for the n-simplex by combinatorial methods, SIAM J. Numer. Anal. 15 (1978) 282-290.
3. J.B. Lasserre, Integration and homogeneous functions, Proc. Amer. Math. Soc. 127 (1999) 813-818.
4. J.B. Lasserre and K.E. Avrachenkov, Integration on a simplex. Technical report #98334, Laboratoire d'Analyse et d'Architecture des Systèmes du CNRS, Toulouse, France, 1998.
5. A.H. Stroud, A fifth degree integration formula for the n-simplex, SIAM J. Numer. Anal. 6 (1969) 90-98.
6. A.H. Stroud, Approximate Calculation of Multiple Integrals, Prentice Hall, Englewood Cliffs, NJ, 1971.
7. O.C. Zienkiewicz and R.L. Taylor, The Finite Element Method, 4th ed., vol 1 and 2, McGraw-Hill Book Company, London, 1988.