Geodesic
Modifications of Newton-Cotes formulas for computation of repeated integrals and derivatives
Czechoslovak Mathematical Journal, Tome 73 (2023) no. 4, pp. 1175-1188.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

Standard algorithms for numerical integration are defined for simple integrals. Formulas for computation of repeated integrals and derivatives for equidistant domain partition based on modified Newton-Cotes formulas are derived. We compare usage of the new formulas with the classical quadrature formulas and discuss possible application of the results to solving higher order differential equations.
DOI : 10.21136/CMJ.2023.0437-22
Classification : 65D32
Keywords: repeated integral; Cauchy formula for repeated integration; quadrature; cubature; numerical differentiation 
@article{10_21136_CMJ_2023_0437_22,
     author = {Tvrd\'a, Katar{\'\i}na and Novotn\'y, Peter},
     title = {Modifications of {Newton-Cotes} formulas for computation of repeated integrals and derivatives},
     journal = {Czechoslovak Mathematical Journal},
     pages = {1175--1188},
     publisher = {mathdoc},
     volume = {73},
     number = {4},
     year = {2023},
     doi = {10.21136/CMJ.2023.0437-22},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2023.0437-22/}
}
TY  - JOUR
AU  - Tvrdá, Katarína
AU  - Novotný, Peter
TI  - Modifications of Newton-Cotes formulas for computation of repeated integrals and derivatives
JO  - Czechoslovak Mathematical Journal
PY  - 2023
SP  - 1175
EP  - 1188
VL  - 73
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2023.0437-22/
DO  - 10.21136/CMJ.2023.0437-22
LA  - en
ID  - 10_21136_CMJ_2023_0437_22
ER  - 
%0 Journal Article
%A Tvrdá, Katarína
%A Novotný, Peter
%T Modifications of Newton-Cotes formulas for computation of repeated integrals and derivatives
%J Czechoslovak Mathematical Journal
%D 2023
%P 1175-1188
%V 73
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2023.0437-22/
%R 10.21136/CMJ.2023.0437-22
%G en
%F 10_21136_CMJ_2023_0437_22
Tvrdá, Katarína; Novotný, Peter. Modifications of Newton-Cotes formulas for computation of repeated integrals and derivatives. Czechoslovak Mathematical Journal, Tome 73 (2023) no. 4, pp. 1175-1188. doi : 10.21136/CMJ.2023.0437-22. http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2023.0437-22/

Cité par Sources :