• [1] 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
• [2] C. C. MacDuffee, The Theory of Matrices, Chelsea, New York, 1946, reprint.
• [3] 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
• [4] A. H. Stroud, Remarks on the disposition of points in numerical integration formulas, Math. Tables Aids Comput. 11 (1957), 257–261. MR 93911, https://doi.org/10.1090/S0025-5718-1957-0093911-3
• [5] William H. Peirce, Numerical integration over the planar annulus, J. Soc. Indust. Appl. Math. 5 (1957), 66–73. MR 90122
• [6] William H. Peirce, Numerical integration over the spherical shell, Math. Tables Aids Comput. 11 (1957), 244–249. MR 93910, https://doi.org/10.1090/S0025-5718-1957-0093910-1
• [7] 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
• [8] 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
• [9] Herbert Fishman, Numerical integration constants, Math. Tables Aids Comput. 11 (1957), 1–9. MR 86391, https://doi.org/10.1090/S0025-5718-1957-0086391-5
• [10] H. Bourget, ``Sur une extension de la méthode de quadrature de Gauss,'' Hebdomadaires des séances de l'Académie des Sciences, Comptes Rendus, v. 126, 1898, p. 634-636.
• [11] P. Appell & J. Kampé de Fériet, ``Fonctions hyper géométriques et hypersphériques; Polynomes d'Hermite,'' Gauthier-Villars, Paris, 1926.
• [12] A. Angelescu, ``Sur des polynomes generalisant les polynomes de Legendre et d'Hermite et sur le calcul approché des intégrales multiples,'' Thesis, Paris, 1916.
• [13] Henry C. Thacher Jr., Optimum quadrature formulas in 𝑠 dimensions, Math. Tables Aids Comput. 11 (1957), 189–194. MR 90869, https://doi.org/10.1090/S0025-5718-1957-0090869-8
• [14] R. Lauffer, Interpolation mehrfacher Integrale, Arch. Math. 6 (1955), 159–164 (German). MR 68307, https://doi.org/10.1007/BF01900222

Bibliography

[1]

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

[2]

C. C. MacDuffee, The Theory of Matrices, Chelsea, New York, 1946, reprint.

[3]

G. W. Tyler, ``Numerical integration of functions of several variables,'' Canadian Jn. Math., v. 5, 1953, p. 393-412. MR 0056379 (15:67a)

[4]

A. H. Stroud, ``Remarks on the disposition of points in numerical integration formulas,'' MTAC, v. 11, 1957, p. 257-261. MR 0093911 (20:431)

[5]

W. H. Peirce, ``Numerical integration over the planar annulus,'' Soc. Industrial and Applied Math., Jn., v. 5, 1957, p. 66-73. MR 0090122 (19:771b)

[6]

W. H. Peirce, ``Numerical integration over the spherical shell,'' MTAC, v. 11, 1957, p. 244-249. MR 0093910 (20:430)

[7]

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

[8]

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)

[9]

H. Fishman, ``Numerical integration constants,'' MTAC, v. 11, 1957, p. 1-9. MR 0086391 (19:177g)

[10]

H. Bourget, ``Sur une extension de la méthode de quadrature de Gauss,'' Hebdomadaires des séances de l'Académie des Sciences, Comptes Rendus, v. 126, 1898, p. 634-636.

[11]

P. Appell & J. Kampé de Fériet, ``Fonctions hyper géométriques et hypersphériques; Polynomes d'Hermite,'' Gauthier-Villars, Paris, 1926.

[12]

A. Angelescu, ``Sur des polynomes generalisant les polynomes de Legendre et d'Hermite et sur le calcul approché des intégrales multiples,'' Thesis, Paris, 1916.

[13]

H. C. Thacher, Jr., ``Optimum quadrature formulas in s dimensions,'' MTAC, v. 11, 1957, p. 189-194. MR 0090869 (19:883h)

[14]

R. Lauffer, ``Interpolation mehrfacher integrale,'' Archiv. der Math., v. 6, 1955, p. 159-164. MR 0068307 (16:862c)