Справочник по специальным функциям - Абрамович М.
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*) Учебники по численному анализу см. в литературе R гл. 3.
25.18. R a d a u R. Etudes sur Ies formules d'approximation
qui servent a caleuler la valeur d'une inteeraie definie. — J. Math. Pures Appi,, 1880, 6, № 3, . p. 283 -336.
25.19. R і с h t m e у e r R. D. Difference methods for ini-
tial-value problems. — N.Y.: Intcbcicnce Publishers, 1957. Русский перевод: Ряхгмайер P. Д., M о p т о н К. Разностные методы решения краевых задич.— M.: Мир, 1У72.
25.20. Sadowsky М. A formula for approximate com-
putation of a triple integral. — Amer. Math. Monthly, 1940, 47, p. 539-543.
25.21. Salzer H. E. A now formula for inverse interpola-
tion. - Bull. Amer. Math. Soc., 1944, 50, p. 513-516.
25.22. Salzer H. E. Formulas for complex Cartesian in-
terpolation of higher degrees. — J. Math. Phys., 1949, 28, p. 200-203.
25.23. Salzer H. E. Foranilas for numerical integration
of first and sccond order differential equations in the complex plane. - J. Math. Phys., 1950, 29, p. 207-216.
25.24. S a 1 z e'r H. E. Formulas for numerical differentiation
in the complex plane. — J. Math. Phys., 1952, 31, p. 155- 169.
25.25. Sard A. Integra! representations of remainders. —
Duke Math. J., 1948, 15, p. 333-345.
25.26. S a r d A. Remainders: functions of several variables.
- Acta Math., 1951, 84, p. 319-346.
25.27. SchulzG1 Formelsammlung zur praktischen Mathe-
matik.—В.: DeGruyter and Co., 1945.
25.28. S t r 0 n d A. II. A bibliography on approximate in-
tegration. - Math. Сотр., 1961, 15, p. 52—80.
25.29. Tranter G-Jr. Integral transforms in mathematical
physics. — N.Y.: John Wiley and Sons, 1951. Русский перевод: Трантер К. Дж. Интегральные преобразования в математической физике.— M.: Гостсхиедат, 1956.
25.30. Tyler G. W. Numerical integration with several
variables. - Canad. J. Math., 1953, 5, p. 393-412.
Таблицы
25.31. Comrie L. J. Chambers' six-figure mathematical
tables. — L.: Chambers, 1949, V. 2. Русский перевод: Ко мри Jl. Дж, Шестизначные математические таблицы Чемберса.— M.: Наука, 1964.
25.32. D a v і s P., R a b і п о w і t z P. Abscissas and weights
for Gaussian quadratures of high order. — J. Research NBS, І956, 56, p. 35-37. Report № 2645.
25.33. Davis P., Rabinowitz P. Additional abscissas
and weights for Gaussian quadratures of high order: value for n = 64, 80 and 96. — J. Research NBS, 1958, 60, p. 613 -614. Report JSs 2875.
25.34. D і j k s t r a E. W., V a n W і j n g a a r d e n A. Ta-
ble of Everett's interpolation coefficients. — Hague: Elcelsior's Photo-offset, 1955.
25.35. Fishman H. Numerical integration constants. —
Math. Tables Aids Сотр., 1957, 11, p. 1-9. 720
25. ИНТЕРПОЛЯЦИЯ, ЧИСЛЕННОЕ ДИФФЕРЕНЦИРОВАНИЕ VL ИНТЕГРИРОВАНИЕ
25.36. Gawlik Н. J. Zeros of Lcgendre polynomials of
orders 2— 64 and weight coefficients of Gauss quadrature formulae. — A.R.D.E. Memo (B) 77/58. - Fort Halstead, 1958.
25.37. Gt. Bcitain H. M. Nautical Almanac Office. Inter-
polation and allied tables. — L.: Her Majestry's
Stationery Office, 1956.
25.38. Longman 1. M. Tables for the rapid and accurate
numerical evaluation of certain infinite integrals involving Bessel functions. — Math. Tables Aids Сотр., 1957, 11, p. 166-180.
25.39. Lowan A.N., Davids N., Levenson A.
Table of the zeros of the Legendre polynomials of order 1—16 and the weight coefficients for Gauss' mechanical quadrature formula. — Bull, Amer. Math. Soc., 1942, 48, p. 739-743.
25.40. National Bureau of Standards. Tables of Lagrangian
interpolation coefficients. — N.Y.: Columbia Univ. Press, 1944.
25.41. National Bureau of Standards. Collected short tables
of the Computation Laboratory. Tables of functions and of zeros of functions. — Washington: Government Printing Office, 1954. — (Applied Math. Series; 37).
25.42. Rabinowitz P. Abscissas and weights for Lo-
batio quadrature of high order. — Math. Tables Aids Сотр., I960, 69, p. 47-52.
25.43. Rabinowitz P., Weiss G. Tables ef abscissas
and weights for numerical evaluation of integrals
of the form J e^xnf(x) dx. - Math. Tables Aids о
Сотр., 1959, 68, p. 285-294.
25.44. S a I z e r H. E. Tables for facilitating the use of Chebv-
shev's quadrature formula. — J. Math. PIiys., 1947, 26, p. 191-194.
25.45. Salzer H. E., Zucker R. Table of the zeros
and weight factors of the first fifteen Laguerre polynomials. — Bull. Amer. Math. Soc., 1949, 55, p. 1004-1012.
25.46. Sahcr H. E., ZucVer R11Capuano R. Table
of the zeros and weight factors of the first twenty Hermile polynomials. — J. Research NBS, 1952, 48, p. 111-116. Report № 2294.
25.47. Salzer H. E. Tabic of coefficients for obtaining
the first derivative without differences. — Washington: Government Printing Office, 1948. — (NBS Applied Math. Series; 2).
25.48. Salzer H. E. Coefficients for lacilitating trigono-
metric interpolation. — J. Math. Phys., 1949, 27, p. 274-278.
