Numerical integration with highly oscillating weight functions

Jozef Mikloško

Aplikace matematiky (1970)

  • Volume: 15, Issue: 2, page 133-145
  • ISSN: 0862-7940

Abstract

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The paper describes a new numerical method for the computation of integrals with the weight function exp ( i k x ) , 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.

How to cite

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Mikloško, 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 -

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