Calculation of Chakalov-Popoviciu quadratures of Radau and Lobatto type
Само за регистроване кориснике
2002
Чланак у часопису (Објављена верзија)
,
Australian Mathematical Society 2002, Serial-fee code 0334-2700/02
Метаподаци
Приказ свих података о документуАпстракт
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.
Извор:
ANZIAM Journal, 2002, 43, 3, 429-447Издавач:
- Cambridge University Press
Финансирање / пројекти:
- Serbian Ministry of Science and Technology
Институција/група
Mašinski fakultetTY - 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 . .