Numerical integration formulas of degree two
Author:
A. H. Stroud
Journal:
Math. Comp. 14 (1960), 21-26
MSC:
Primary 41.00
DOI:
https://doi.org/10.1090/S0025-5718-1960-0109977-8
MathSciNet review:
0109977
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References | Similar Articles | Additional Information
- [1] G. Georgiev, Mechanical quadrature formulas for multiple integrals with a minimal number of terms, Doklady Akad. Nauk SSSR (N.S.) 83 (1952), 521–524 (Russian). MR 0047092
- [2] G. Georgiev, Formulas of mechanical quadratures with equal coefficients for multiple integrals, Doklady Akad. Nauk SSSR (N.S.) 89 (1953), 389–392 (Russian). MR 0053988
- [3] Georg Georgěv, Mechanical quadratures with a minimal number of terms, Rozprawy Mat. 8 (1955), 72 (Russian, with English summary). MR 67949
- [4] Preston C. Hammer and Arthur H. Stroud, Numerical evaluation of multiple integrals. II, Math. Tables Aids Comput. 12 (1958), 272–280. MR 102176, https://doi.org/10.1090/S0025-5718-1958-0102176-6
- [5] C. C. MacDuffee, Theory of Matrices, Chelsea, New York, 1946.
- [6] 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
- [7] 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
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Additional Information
DOI:
https://doi.org/10.1090/S0025-5718-1960-0109977-8
Article copyright:
© Copyright 1960
American Mathematical Society