| DC Field | Value | Language |
|---|
| dc.contributor.author | Бандирський, Б. | |
| dc.contributor.author | Гошко, Л. | |
| dc.contributor.author | Лазурчак, І. | |
| dc.contributor.author | Мельник, М. | |
| dc.contributor.author | Bandyrskii, B. | |
| dc.contributor.author | Hoshko, L. | |
| dc.contributor.author | Lazurchak, I. | |
| dc.contributor.author | Melnyk, M. | |
| dc.date.accessioned | 2018-06-05T14:12:23Z | - |
| dc.date.available | 2018-06-05T14:12:23Z | - |
| dc.date.created | 2017-06-15 | |
| dc.date.issued | 2017-06-15 | |
| dc.identifier.citation | Optimal algorithms for computing multiple integrals / B. Bandyrskii, L. Hoshko, I. Lazurchak, M. Melnyk // Mathematical Modeling and Computing. — Lviv : Lviv Politechnic Publishing House, 2017. — Vol 4. — No 1. — P. 1–9. | |
| dc.identifier.issn | 2312-9794 | |
| dc.identifier.uri | https://ena.lpnu.ua/handle/ntb/41463 | - |
| dc.description.abstract | Розглянуто оптимальнi алгоритми для реалiзацiї кубатурної формули Сiмпсона iз
застосуванням принципу подвiйного перерахунку пiд час обчислення багатократних
iнтегралiв. Порiвняно запропонований алгоритм з вбудованими функцiями пакета
розширень системи комп’ютерної математики на тестовому прикладi обчислення iн-
тегральних тригонометричних функцiй. Розширено функцiональнi можливостi вико-
ристання СКМ Mathematica та Maple. | |
| dc.description.abstract | The article deals with optimization algorithms for implementation of Simpson’s cubature
rule using the principle of double recalculation in calculating multiple integrals. A comparison
is represented for the suggested algorithm with the built-in functions of the application
package of computer mathematics by test example of computing integral trigonometric
functions. The functionality of the Computing Software Mathematica and Maple use is
extended. | |
| dc.format.extent | 1-9 | |
| dc.language.iso | en | |
| dc.publisher | Lviv Politechnic Publishing House | |
| dc.relation.ispartof | Mathematical Modeling and Computing, 1 (4), 2017 | |
| dc.subject | кубатурні формули | |
| dc.subject | оптимізація обчислень | |
| dc.subject | принцип подвійного перерахунку | |
| dc.subject | інтегральний косинус | |
| dc.subject | системи комп’ютерної математики | |
| dc.subject | cubature formula | |
| dc.subject | calculations optimization | |
| dc.subject | principle of double recalculation | |
| dc.subject | integral cosine | |
| dc.subject | systems of computer mathematics | |
| dc.title | Optimal algorithms for computing multiple integrals | |
| dc.title.alternative | Оптимальні алгоритми реалізації обчислень для кратних інтегралів | |
| dc.type | Article | |
| dc.rights.holder | © 2017 Lviv Polytechnic National University CMM IAPMM NASU | |
| dc.contributor.affiliation | Національний унівеpситет «Львівська політехніка» | |
| dc.contributor.affiliation | Дрогобицький державний педагогічний унiверситет імені Івана Франка | |
| dc.contributor.affiliation | Lviv Polytechnic National University | |
| dc.contributor.affiliation | Drohobych Ivan Franko State Pedagogical University | |
| dc.format.pages | 9 | |
| dc.identifier.citationen | Optimal algorithms for computing multiple integrals / B. Bandyrskii, L. Hoshko, I. Lazurchak, M. Melnyk // Mathematical Modeling and Computing. — Lviv : Lviv Politechnic Publishing House, 2017. — Vol 4. — No 1. — P. 1–9. | |
| dc.relation.references | [1] BinderK., HeermannD. Monte Carlo Simulation in Statistical Physics. Springer-Verlag, Berlin, Heidelberg (2010). | |
| dc.relation.references | [2] Gavryliyk I.P., MakarovV. L. Metodi obchislen’: pidruchnik u dvokh chast. Kyiv, Vishcha shkola, Ch. 2 (1995), (in Ukrainian). | |
| dc.relation.references | [3] VeitsblitO.Y. Metod kratnogo pererakhunku. Informatsiyni tekhnologii v osviti. 7, 50–60 (2011), (in Ukrainian). | |
| dc.relation.references | [4] Lazurchak I. I., Gal’Yu.M. Chislennaya realizatsiya kvadraturnoy formuly Simpsona s avtomaticheskim vyborom shaga. Kyiv, 17, U-89. Dep. v UkrNIINTI (1989), (in Russian). | |
| dc.relation.references | [5] Lazurchak I. I., Kobil’nikT.P. Sistemi komp’yuternoi matematiki: navchal’niy posibnik. Drohobych, Kolo (2013), (in Ukrainian). | |
| dc.relation.references | [6] MakarovV. L., Lazurchak I. I. Dvukhstoronniy FD-metod resheniya zadachi Dirikhle dlya uravneniya Gel’mgol’tsa. Differents. uravneniya. 3, n. 35, 388–395 (1999), (in Russian). | |
| dc.relation.references | [7] YankeE., Emde F., Lesh F. Special Functions. Nauka, Moscow (1977), (in Russian). | |
| dc.relation.referencesen | [1] BinderK., HeermannD. Monte Carlo Simulation in Statistical Physics. Springer-Verlag, Berlin, Heidelberg (2010). | |
| dc.relation.referencesen | [2] Gavryliyk I.P., MakarovV. L. Metodi obchislen’: pidruchnik u dvokh chast. Kyiv, Vishcha shkola, Ch. 2 (1995), (in Ukrainian). | |
| dc.relation.referencesen | [3] VeitsblitO.Y. Metod kratnogo pererakhunku. Informatsiyni tekhnologii v osviti. 7, 50–60 (2011), (in Ukrainian). | |
| dc.relation.referencesen | [4] Lazurchak I. I., Gal’Yu.M. Chislennaya realizatsiya kvadraturnoy formuly Simpsona s avtomaticheskim vyborom shaga. Kyiv, 17, U-89. Dep. v UkrNIINTI (1989), (in Russian). | |
| dc.relation.referencesen | [5] Lazurchak I. I., Kobil’nikT.P. Sistemi komp’yuternoi matematiki: navchal’niy posibnik. Drohobych, Kolo (2013), (in Ukrainian). | |
| dc.relation.referencesen | [6] MakarovV. L., Lazurchak I. I. Dvukhstoronniy FD-metod resheniya zadachi Dirikhle dlya uravneniya Gel’mgol’tsa. Differents. uravneniya. 3, n. 35, 388–395 (1999), (in Russian). | |
| dc.relation.referencesen | [7] YankeE., Emde F., Lesh F. Special Functions. Nauka, Moscow (1977), (in Russian). | |
| dc.citation.volume | 4 | |
| dc.citation.issue | 1 | |
| dc.citation.spage | 1 | |
| dc.citation.epage | 9 | |
| dc.coverage.placename | Lviv | |
| dc.subject.udc | 517.9 | |
| Appears in Collections: | Mathematical Modeling And Computing. – 2017. – Vol. 4, No. 1
|
