Numerical integration with highly oscillating weight functions
Aplikace matematiky (1970)
- Volume: 15, Issue: 2, page 133-145
- ISSN: 0862-7940
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topMikloško, Jozef. "Numerical integration with highly oscillating weight functions." Aplikace matematiky 15.2 (1970): 133-145. <http://eudml.org/doc/14639>.
@article{Mikloško1970,
abstract = {The paper describes a new numerical method for the computation of integrals with the weight function exp$(ikx)$, $k$ integer, which can be used for improper and multiple integrals. The compound rules of this method use parameters, of weighted quadratures of Gauss type which are tabulated for various $k$. The using of the method especially for high $k$ is demonstrated by numerical experiments.},
author = {Mikloško, Jozef},
journal = {Aplikace matematiky},
keywords = {numerical analysis},
language = {eng},
number = {2},
pages = {133-145},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Numerical integration with highly oscillating weight functions},
url = {http://eudml.org/doc/14639},
volume = {15},
year = {1970},
}
TY - JOUR
AU - Mikloško, Jozef
TI - Numerical integration with highly oscillating weight functions
JO - Aplikace matematiky
PY - 1970
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 15
IS - 2
SP - 133
EP - 145
AB - The paper describes a new numerical method for the computation of integrals with the weight function exp$(ikx)$, $k$ integer, which can be used for improper and multiple integrals. The compound rules of this method use parameters, of weighted quadratures of Gauss type which are tabulated for various $k$. The using of the method especially for high $k$ is demonstrated by numerical experiments.
LA - eng
KW - numerical analysis
UR - http://eudml.org/doc/14639
ER -
References
top- Hammer P. C., Wicke H. H., 10.1090/S0025-5718-1960-0110191-0, Mathematics of Computation 69, 3-7 (1960). (1960) Zbl0121.11701MR0110191DOI10.1090/S0025-5718-1960-0110191-0
- Mikloško J., Numerical integration with weight functions cos kx, sin kx on the , t = 1, 2, ..., Aplikace matematiky, 3, 1969, 179-194. (1969) MR0246510
- Szegö C., Orthogonal polynomials, American Mathematical Society, New York, 1959. (1959) MR0106295
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