| Title:
|
Numerical integration with highly oscillating weight functions (English) |
| Author:
|
Mikloško, Jozef |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
15 |
| Issue:
|
2 |
| Year:
|
1970 |
| Pages:
|
133-145 |
| Summary lang:
|
English |
| Summary lang:
|
Slovak |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
numerical analysis |
| MSC:
|
65-55 |
| idZBL:
|
Zbl 0191.16304 |
| idMR:
|
MR0256566 |
| DOI:
|
10.21136/AM.1970.103277 |
| . |
| Date available:
|
2008-05-20T17:47:31Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103277 |
| . |
| Reference:
|
[1] Hammer P. C., Wicke H. H.: Quadrature formulas involving derivatives of the integrand.Mathematics of Computation 69, 3-7 (1960). Zbl 0121.11701, MR 0110191, 10.1090/S0025-5718-1960-0110191-0 |
| Reference:
|
[2] Mikloško J.: Numerical integration with weight functions cos kx, sin kx on the $[0,2 \pi/t]$, t = 1, 2, ....Aplikace matematiky, 3, 1969, 179-194. MR 0246510 |
| Reference:
|
[3] Szegö C.: Orthogonal polynomials.American Mathematical Society, New York, 1959. MR 0106295 |
| . |
