Zobrazeno 1 - 10
of 60
pro vyhledávání: '"Miodrag M. Spalević"'
Publikováno v:
Numerical Algorithms. 91:1855-1877
In this paper, we consider the Gauss-Kronrod quadrature formulas for a modified Chebyshev weight. Efficient estimates of the error of these Gauss–Kronrod formulae for analytic functions are obtained, using techniques of contour integration that wer
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5e948213c1b36caa8fa4379332437033
https://doi.org/10.1007/s11075-022-01325-8
https://doi.org/10.1007/s11075-022-01325-8
Publikováno v:
Applied Numerical Mathematics.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1bc7ec0566f99e0c3733b82ce694c013
https://doi.org/10.1016/j.apnum.2023.05.014
https://doi.org/10.1016/j.apnum.2023.05.014
Autor:
Miodrag M. Spalević, Lothar Reichel
Publikováno v:
Applied Numerical Mathematics. 165:614-619
Gauss quadrature rules associated with a nonnegative measure with support on (part of) the real axis find many applications in Scientific Computing. It is important to be able to estimate the quadrature error when replacing an integral by an l-node G
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::30d7676d6183328445c0b0e334326a06
https://doi.org/10.1016/j.apnum.2020.11.016
https://doi.org/10.1016/j.apnum.2020.11.016
Publikováno v:
ETNA - Electronic Transactions on Numerical Analysis. 53:426-438
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::059909f676636ed2a41579d282d6dec4
https://doi.org/10.1553/etna_vol53s426
https://doi.org/10.1553/etna_vol53s426
Publikováno v:
ETNA - Electronic Transactions on Numerical Analysis. 53:352-382
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d35addd4c52b71d2d08917c09e36b4db
https://doi.org/10.1553/etna_vol53s352
https://doi.org/10.1553/etna_vol53s352
Publikováno v:
Filomat. 34:379-389
It is important to be able to estimate the quadrature error in Gauss rules. Several approaches have been developed, including the evaluation of associated Gauss-Kronrod rules (if they exist), or the associated averaged Gauss and generalized averaged
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::93b0fc2f3fc0dfc3643e59bd37accad3
https://doi.org/10.2298/fil2002379r
https://doi.org/10.2298/fil2002379r
Autor:
Miodrag M. Spalević
Publikováno v:
Numerical Algorithms. 85:977-993
In the recent paper Notaris (Numer. Math., 142:129–147, 2019) it has been introduced a new and useful class of nonnegative measures for which the well-known Gauss–Kronrod quadrature formulae coincide with the generalized averaged Gaussian quadrat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c831d0c14f994729545962cd9523ece6
https://doi.org/10.1007/s11075-019-00848-x
https://doi.org/10.1007/s11075-019-00848-x
Publikováno v:
Applied Numerical Mathematics. 142:190-205
Generalized averaged Gaussian quadrature rules and truncated variants associated with a nonnegative measure with support on a real open interval { t : a t b } may have nodes outside this interval, in other words the rules may fail to be internal. Suc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::add22a383d37846a128cbc5f48e63e74
https://doi.org/10.1016/j.apnum.2019.03.008
https://doi.org/10.1016/j.apnum.2019.03.008
Publikováno v:
Applicable Analysis and Discrete Mathematics. 13:1-27
The paper deals with new contributions to the theory of the Gauss quadrature formulas with multiple nodes that are published after 2001, including numerical construction, error analysis and applications. The first part was published in Numerical anal
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::62f7044462574c73d218fa5828f6186a
https://doi.org/10.2298/aadm180730018m
https://doi.org/10.2298/aadm180730018m
Publikováno v:
Journal of Computational and Applied Mathematics. 345:70-85
It is desirable that a quadrature rule be internal, i.e., that all nodes of the rule live in the convex hull of the support of the measure. Then the rule can be applied to approximate integrals of functions that have a singularity close to the convex
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7853481b7686d25a794c1ebcda1fd06a
https://doi.org/10.1016/j.cam.2018.06.017
https://doi.org/10.1016/j.cam.2018.06.017