• [1] P. Appell, ``Sur une classe de polynômes à deux variables et le calcul approché des intégrales doubles,'' Annales de la Faculté des Sciences de Toulouse, v. 4, 1890, p. H.1-H.20.
• [2] Carlo Birindelli, Su nuove formule interpolatorie del Picone per funzioni in più variabili e loro contributo al calcolo numerico degli integrali multipli, Compositio Math. 10 (1952), (1952) (Italian). MR 52478
• [3] W. Burnside, ``An approximate quadrature formula,'' Messenger of Math., v. 37, 1908, p. 166-167.
• [4] C. F. Gauss, ``Methodus nova integralium valores per approximationem inveniendi,'' Werke, Göttingen, v. 3, 1866, p. 163-196.
• [5] P. C. Hammer, O. J. Marlowe, and A. H. Stroud, Numerical integration over simplexes and cones, Math. Tables Aids Comput. 10 (1956), 130–137. MR 86389, https://doi.org/10.1090/S0025-5718-1956-0086389-6
• [6] Preston C. Hammer and Arthur H. Stroud, Numerical integration over simplexes, Math. Tables Aids Comput. 10 (1956), 137–139. MR 86390, https://doi.org/10.1090/S0025-5718-1956-0086390-2
• [7] Preston C. Hammer and A. Wayne Wymore, Numerical evaluation of multiple integrals. I, Math. Tables Aids Comput. 11 (1957), 59–67. MR 87220, https://doi.org/10.1090/S0025-5718-1957-0087220-6
• [8] J. C. Maxwell, ``On approximate multiple integration between limits by summation,'' Camb. Phil. Soc., Proc., v. 3, 1877, p. 39-47.
• [9] Mauro Picone, Vedute generali sull’interpolazione e qualche loro conseguenza, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (3) 5 (1951), 193–244 (Italian). MR 49250
• [10] Michael Sadowsky, A formula for approxiamte computation of a triple integral, Amer. Math. Monthly 47 (1940), 539–543. MR 2496, https://doi.org/10.2307/2303834
• [11] G. Szegö, Orthogonal Polynomials, Amer. Math. Soc. Colloquium Publication, v. 23, New York, 1939.
• [12] G. W. Tyler, Numerical integration of functions of several variables, Canad. J. Math. 5 (1953), 393–412. MR 56379, https://doi.org/10.4153/cjm-1953-044-1
• [13] Richard von Mises, Numerische Berechnung mehrdimensionaler Integrale, Z. Angew. Math. Mech. 34 (1954), 201–210 (German, with English, French and Russian summaries). MR 63777, https://doi.org/10.1002/zamm.19540340602

Bibliography

[1]

P. Appell, ``Sur une classe de polynômes à deux variables et le calcul approché des intégrales doubles,'' Annales de la Faculté des Sciences de Toulouse, v. 4, 1890, p. H.1-H.20.

[2]

C. Birindelli, ``Su nuove formule interpolatorie del Picone per funzioni in piu variabili e loro contributo al calcolo numerico degli integrali multipli,'' Compositio Mathematica, v. 10, 1952, p. 117-167. MR 0052478 (14:626c)

[3]

W. Burnside, ``An approximate quadrature formula,'' Messenger of Math., v. 37, 1908, p. 166-167.

[4]

C. F. Gauss, ``Methodus nova integralium valores per approximationem inveniendi,'' Werke, Göttingen, v. 3, 1866, p. 163-196.

[5]

P. C. Hammer, O. J. Marlowe, & A. H. Stroud, ``Numerical integration over simplexes and cones,'' MTAC, v. 10, 1956, p. 130-137. MR 0086389 (19:177e)

[6]

P. C. Hammer & Arthur H. Stroud, ``Numerical integration over simplexes,'' MTAC, v. 10, 1956, p. 137-139. MR 0086390 (19:177f)

[7]

Preston C. Hammer & A. Wayne Wymore, ``Numerical evaluation of multiple integrals I,'' MTAC, v. 11, 1957, p. 59-67. MR 0087220 (19:323a)

[8]

J. C. Maxwell, ``On approximate multiple integration between limits by summation,'' Camb. Phil. Soc., Proc., v. 3, 1877, p. 39-47.

[9]

M. Picone, ``Vedute generali sull' interpolazione e qualche loro conseguenza,'' Annali della Scuola Normale Superiore di Pisa, Ser. III, v. 5, 1951, p. 193-244. MR 0049250 (14:144d)

[10]

Michael Sadowsky, ``A formula for approximate computation of a triple integral,'' Amer. Math. Mon., v. 47, 1940, p. 539-543. MR 0002496 (2:62k)

[11]

G. Szegö, Orthogonal Polynomials, Amer. Math. Soc. Colloquium Publication, v. 23, New York, 1939.

[12]

G. W. Tyler, ``Numerical integration of functions of several variables,'' Can. J. Math., v. 5, 1953, p. 393-112. MR 0056379 (15:67a)

[13]

Richard von Mises, ``Numerische Berechnung mehrdimensionaler Integrale,'' Z. Angew. Math. Mech., v. 34, 1954, p. 201-210. MR 0063777 (16:178d)