Recurrent evaluation of integrals of the type ∫ 0 1 x α sin 2 π p x d x , ∫ 0 1 x α cos 2 π p x d x with respect to numerical stability

František Chvála

Aplikace matematiky (1975)

  • Volume: 20, Issue: 3, page 206-215
  • ISSN: 0862-7940

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Chvála, František. "Recurrent evaluation of integrals of the type $\int ^1_0x^\alpha \sin 2\pi px dx$, $\int ^1_0x^\alpha \cos 2\pi px dx$ with respect to numerical stability." Aplikace matematiky 20.3 (1975): 206-215. <http://eudml.org/doc/14910>.

@article{Chvála1975,
author = {Chvála, František},
journal = {Aplikace matematiky},
language = {eng},
number = {3},
pages = {206-215},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Recurrent evaluation of integrals of the type $\int ^1_0x^\alpha \sin 2\pi px dx$, $\int ^1_0x^\alpha \cos 2\pi px dx$ with respect to numerical stability},
url = {http://eudml.org/doc/14910},
volume = {20},
year = {1975},
}

TY - JOUR
AU - Chvála, František
TI - Recurrent evaluation of integrals of the type $\int ^1_0x^\alpha \sin 2\pi px dx$, $\int ^1_0x^\alpha \cos 2\pi px dx$ with respect to numerical stability
JO - Aplikace matematiky
PY - 1975
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 20
IS - 3
SP - 206
EP - 215
LA - eng
UR - http://eudml.org/doc/14910
ER -

References

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  1. Mikloško J., Numerical integration with weight functions cos kx, sin kx on [ 0 , 2 π / t ] , t = = 1, 2, ..., Apl. mat. 14 (1969), 179-194. (1969) MR0246510
  2. Крылов В. И., Приближенное вычисление интегралов, Наука, Москва 1967, гл. 14. (1967) Zbl1103.35360
  3. Babušková R., Über numerische Stabilität einiger Rekursionsformeln, Apl. mat. 9 (1964), 186-193. (1964) MR0187365
  4. Babuška I., Práger M., Vitásek E., Numerical processes in differential equations, Wiley, London-New York-Sydney 1966, chap. 2. (1966) MR0223101
  5. Fleckner O. L., A method for the computation of the Fresnel integrals and related functions, Math. Соmр. 22 (1968), 635-640. (1968) Zbl0159.45201MR0226824
  6. Bulirsch R., Stoer J., 10.1007/BF02165234, Numer. Math. 8 (1966), 1 - 13. (1966) Zbl0135.37901MR0191095DOI10.1007/BF02165234
  7. Chvála F., Evaluation of integrals by means of recurrence formulae, Report ÚVT ČVUT 2/73 (in czech). 

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