Nonintrusive Uncertainty Quantification for automotive crash problems with VPS/Pamcrash

Autor: Pedro Díez, Marc Rocas, Sergio Zlotnik, Xabier Larráyoz, Alberto García-González

Publikováno v: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

© 2021 Elsevier. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ Uncertainty Quantification (UQ) is a key discipline for computational modeling of complex systems, enhanci

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dd1520cf61c295a240cf86be1af7034e
http://arxiv.org/abs/2102.07673

On a Moser-Steffensen type method for nonlinear systems of equations

Autor: Sergio Amat, Miguel Ángel Hernández-Verón, M. J. Rubio, Miquel Grau-Sánchez

Publikováno v: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Repositorio Digital de la Universidad Politécnica de Cartagena
Fundación Universitaria San Pablo CEU (FUSPCEU)
Recercat. Dipósit de la Recerca de Catalunya
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This paper is devoted to the construction and analysis of a Moser–Steffensen iterative scheme. The method has quadratic convergence without evaluating any derivative nor inverse operator. We present a complete study of the order of convergence for

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b8ec52e22999c781d271bbb515f62675
https://hdl.handle.net/2117/104682

Existence of extremal solutions for fuzzy polynomials and their numerical solutions

Autor: Ezzati, R., Abbasbandy, Saeid

Publikováno v: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

In this paper, we consider the existence of a solution for fuzzy polynomials anx^n + an−1x^n−1 + · · · + a1x + a0 = x, where ai, i = 0, 1, 2, · · · , n and x are positive fuzzy numbers satisfying certain conditions. To this purpose, we use

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::de5b769e6fc454c360300db07e36ef2b
https://hdl.handle.net/2099/10919

On computational order of convergence of some multi-precision solvers of nonlinear systems of equations

Autor: Grau Sánchez, Miguel|||0000-0003-2184-0837, Grau Gotés, Maria Àngela|||0000-0002-9338-6672, Díaz Barrero, José Luis

Publikováno v: Recercat. Dipósit de la Recerca de Catalunya
instname
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

Report d'un treball de recerca on es presenten noves tècniques de càlcul de l'ordre de convergència amb una aritmètica adaptativa. In this paper the local order of convergence used in iterative methods to solve nonlinear systems of equations is r

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::c00a55132ee7da5c276ca40564a74a6a
http://hdl.handle.net/2117/12475

A family of iterative methods that uses divided differences of first and second orders

Autor: Miquel Noguera, Miquel Grau-Sánchez, José Antonio Ezquerro, Miguel Ángel Hernández-Verón

Publikováno v: Recercat. Dipósit de la Recerca de Catalunya
instname
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

The family of fourth-order Steffensen-type methods proposed by Zheng et al. (Appl. Math. Comput. 217, 9592-9597 (2011)) is extended to solve systems of nonlinear equations. This extension uses multidimensional divided differences of first and second

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5a9d62671b74fd2a48295187e1491980
http://hdl.handle.net/2117/80873