Gaussian interval quadrature rule for exponential weights
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2012
Članak u časopisu (Objavljena verzija)
Metapodaci
Prikaz svih podataka o dokumentuApstrakt
Interval quadrature formulae of Gaussian type on R and R+ for exponential weight functions of the form w(x) = exp(-Q(x)), where Q is a continuous function on its domain and such that all algebraic polynomials are integrable with respect to w, are considered. For a given set of nonoverlapping intervals and an arbitrary n, the uniqueness of the n-point interval Gaussian rule is proved. The results can be applied also to corresponding quadratures over (-1, 1). An algorithm for the numerical construction of interval quadratures is presented. Finally, in order to illustrate the presented method, two numerical examples are done.
Ključne reči:
Weight coefficients / Numerical integration / Nodes / Interval quadrature rule / Exponential weightIzvor:
Applied Mathematics and Computation, 2012, 218, 18, 9332-9341Izdavač:
- Elsevier Science Inc, New York
Finansiranje / projekti:
- Aproksimacija integralnih i diferencijalnih operatora i primene (RS-MESTD-Basic Research (BR or ON)-174015)
DOI: 10.1016/j.amc.2012.03.016
ISSN: 0096-3003
WoS: 000302992700028
Scopus: 2-s2.0-84860482721
Kolekcije
Institucija/grupa
Mašinski fakultetTY - JOUR AU - Cvetković, Aleksandar AU - Milovanović, Gradimir V. PY - 2012 UR - https://machinery.mas.bg.ac.rs/handle/123456789/1411 AB - Interval quadrature formulae of Gaussian type on R and R+ for exponential weight functions of the form w(x) = exp(-Q(x)), where Q is a continuous function on its domain and such that all algebraic polynomials are integrable with respect to w, are considered. For a given set of nonoverlapping intervals and an arbitrary n, the uniqueness of the n-point interval Gaussian rule is proved. The results can be applied also to corresponding quadratures over (-1, 1). An algorithm for the numerical construction of interval quadratures is presented. Finally, in order to illustrate the presented method, two numerical examples are done. PB - Elsevier Science Inc, New York T2 - Applied Mathematics and Computation T1 - Gaussian interval quadrature rule for exponential weights EP - 9341 IS - 18 SP - 9332 VL - 218 DO - 10.1016/j.amc.2012.03.016 ER -
@article{ author = "Cvetković, Aleksandar and Milovanović, Gradimir V.", year = "2012", abstract = "Interval quadrature formulae of Gaussian type on R and R+ for exponential weight functions of the form w(x) = exp(-Q(x)), where Q is a continuous function on its domain and such that all algebraic polynomials are integrable with respect to w, are considered. For a given set of nonoverlapping intervals and an arbitrary n, the uniqueness of the n-point interval Gaussian rule is proved. The results can be applied also to corresponding quadratures over (-1, 1). An algorithm for the numerical construction of interval quadratures is presented. Finally, in order to illustrate the presented method, two numerical examples are done.", publisher = "Elsevier Science Inc, New York", journal = "Applied Mathematics and Computation", title = "Gaussian interval quadrature rule for exponential weights", pages = "9341-9332", number = "18", volume = "218", doi = "10.1016/j.amc.2012.03.016" }
Cvetković, A.,& Milovanović, G. V.. (2012). Gaussian interval quadrature rule for exponential weights. in Applied Mathematics and Computation Elsevier Science Inc, New York., 218(18), 9332-9341. https://doi.org/10.1016/j.amc.2012.03.016
Cvetković A, Milovanović GV. Gaussian interval quadrature rule for exponential weights. in Applied Mathematics and Computation. 2012;218(18):9332-9341. doi:10.1016/j.amc.2012.03.016 .
Cvetković, Aleksandar, Milovanović, Gradimir V., "Gaussian interval quadrature rule for exponential weights" in Applied Mathematics and Computation, 218, no. 18 (2012):9332-9341, https://doi.org/10.1016/j.amc.2012.03.016 . .