Serbian Ministry of Science and Technology

Link to this page

Serbian Ministry of Science and Technology

Authors

Publications

Calculation of Chakalov-Popoviciu quadratures of Radau and Lobatto type

Spalević, Miodrag

(Cambridge University Press, 2002)

TY  - JOUR
AU  - Spalević, Miodrag
PY  - 2002
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/5064
AB  - A numerical method for calculation of the generalized Chakalov-Popoviciu quadrature
formulae of Radau and Lobatto type, using the results given for the generalized ChakalovPopoviciu quadrature formula, is given. Numerical results are included. As an application
we discuss the problem of approximating a function / on the finite interval / = [a, b] by
a spline function of degree m and variable defects dv, with n (variable) knots, matching as
many of the initial moments of/ as possible. An analytic formula for the coefficients in
the generalized Chakalov-Popoviciu quadrature formula is given.
PB  - Cambridge University Press
T2  - ANZIAM Journal
T1  - Calculation of Chakalov-Popoviciu quadratures of Radau and Lobatto type
EP  - 447
IS  - 3
SP  - 429
VL  - 43
DO  - 10.1017/S144618110001261X
ER  - 
@article{
author = "Spalević, Miodrag",
year = "2002",
abstract = "A numerical method for calculation of the generalized Chakalov-Popoviciu quadrature
formulae of Radau and Lobatto type, using the results given for the generalized ChakalovPopoviciu quadrature formula, is given. Numerical results are included. As an application
we discuss the problem of approximating a function / on the finite interval / = [a, b] by
a spline function of degree m and variable defects dv, with n (variable) knots, matching as
many of the initial moments of/ as possible. An analytic formula for the coefficients in
the generalized Chakalov-Popoviciu quadrature formula is given.",
publisher = "Cambridge University Press",
journal = "ANZIAM Journal",
title = "Calculation of Chakalov-Popoviciu quadratures of Radau and Lobatto type",
pages = "447-429",
number = "3",
volume = "43",
doi = "10.1017/S144618110001261X"
}
Spalević, M.. (2002). Calculation of Chakalov-Popoviciu quadratures of Radau and Lobatto type. in ANZIAM Journal
Cambridge University Press., 43(3), 429-447.
https://doi.org/10.1017/S144618110001261X
Spalević M. Calculation of Chakalov-Popoviciu quadratures of Radau and Lobatto type. in ANZIAM Journal. 2002;43(3):429-447.
doi:10.1017/S144618110001261X .
Spalević, Miodrag, "Calculation of Chakalov-Popoviciu quadratures of Radau and Lobatto type" in ANZIAM Journal, 43, no. 3 (2002):429-447,
https://doi.org/10.1017/S144618110001261X . .
5

Quadrature formulae connected to $\sigma$--orthogonal polynomials

Milovanović, Gradimir; Spalević, Miodrag

(Elsevier, 2002)

TY  - JOUR
AU  - Milovanović, Gradimir
AU  - Spalević, Miodrag
PY  - 2002
UR  - https://machinery.mas.bg.ac.rs/handle/123456789/5063
PB  - Elsevier
T2  - Journal of Computational and Applied Mathematics
T1  - Quadrature formulae connected to  $\sigma$--orthogonal polynomials
EP  - 637
IS  - 1-2
SP  - 619
VL  - 140
UR  - https://hdl.handle.net/21.15107/rcub_machinery_5063
ER  - 
@article{
author = "Milovanović, Gradimir and Spalević, Miodrag",
year = "2002",
publisher = "Elsevier",
journal = "Journal of Computational and Applied Mathematics",
title = "Quadrature formulae connected to  $\sigma$--orthogonal polynomials",
pages = "637-619",
number = "1-2",
volume = "140",
url = "https://hdl.handle.net/21.15107/rcub_machinery_5063"
}
Milovanović, G.,& Spalević, M.. (2002). Quadrature formulae connected to  $\sigma$--orthogonal polynomials. in Journal of Computational and Applied Mathematics
Elsevier., 140(1-2), 619-637.
https://hdl.handle.net/21.15107/rcub_machinery_5063
Milovanović G, Spalević M. Quadrature formulae connected to  $\sigma$--orthogonal polynomials. in Journal of Computational and Applied Mathematics. 2002;140(1-2):619-637.
https://hdl.handle.net/21.15107/rcub_machinery_5063 .
Milovanović, Gradimir, Spalević, Miodrag, "Quadrature formulae connected to  $\sigma$--orthogonal polynomials" in Journal of Computational and Applied Mathematics, 140, no. 1-2 (2002):619-637,
https://hdl.handle.net/21.15107/rcub_machinery_5063 .