{"id":153,"date":"2021-04-20T11:05:48","date_gmt":"2021-04-20T09:05:48","guid":{"rendered":"https:\/\/blogs.ugr.es\/miberenguer\/?page_id=153"},"modified":"2025-09-27T09:01:38","modified_gmt":"2025-09-27T07:01:38","slug":"research","status":"publish","type":"page","link":"https:\/\/blogs.ugr.es\/miberenguer\/en\/research\/","title":{"rendered":"Research"},"content":{"rendered":"<h2>\u00a0\u00a0 \u00a0 \u00a0 <a href=\"https:\/\/www.scopus.com\/authid\/detail.uri?authorId=7006141850\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-353\" src=\"https:\/\/blogs.ugr.es\/miberenguer\/wp-content\/uploads\/sites\/101\/2021\/08\/SC.png\" alt=\"\" width=\"124\" height=\"54\" \/><\/a>\u00a0 \u00a0 <a href=\"https:\/\/orcid.org\/0000-0003-3237-4624\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-354\" src=\"https:\/\/blogs.ugr.es\/miberenguer\/wp-content\/uploads\/sites\/101\/2021\/08\/ID.png\" alt=\"\" width=\"57\" height=\"54\" \/><\/a>\u00a0 \u00a0 \u00a0\u00a0 \u00a0\u00a0<a href=\"https:\/\/sciprofiles.com\/profile\/1649612\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-356\" src=\"https:\/\/blogs.ugr.es\/miberenguer\/wp-content\/uploads\/sites\/101\/2021\/08\/sci.png\" alt=\"\" width=\"138\" height=\"54\" \/><\/a>\u00a0 \u00a0 \u00a0<a href=\"https:\/\/mathscinet.ams.org\/mathscinet\/search\/author.html?mrauthid=623986\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-358\" style=\"font-size: 16px\" src=\"https:\/\/blogs.ugr.es\/miberenguer\/wp-content\/uploads\/sites\/101\/2021\/08\/logo.1531237808.png\" alt=\"\" width=\"127\" height=\"54\" \/><\/a><span style=\"color: #ffffff\"><a style=\"font-size: 16px;color: #ffffff\" href=\"https:\/\/mathscinet.ams.org\/mathscinet\/MRAuthorID\/623986\">\u00a0 \u00a0<\/a><\/span>\u00a0 \u00a0<a style=\"font-size: 16px\" href=\"https:\/\/scholar.google.com\/citations?user=4nCSovsAAAAJ\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-362\" src=\"https:\/\/blogs.ugr.es\/miberenguer\/wp-content\/uploads\/sites\/101\/2021\/08\/Google--300x41.png\" alt=\"\" width=\"183\" height=\"25\" srcset=\"https:\/\/blogs.ugr.es\/miberenguer\/wp-content\/uploads\/sites\/101\/2021\/08\/Google--300x41.png 300w, https:\/\/blogs.ugr.es\/miberenguer\/wp-content\/uploads\/sites\/101\/2021\/08\/Google-.png 485w\" sizes=\"auto, (max-width: 183px) 100vw, 183px\" \/>\u00a0 \u00a0<\/a><a href=\"https:\/\/www.researchgate.net\/profile\/Maria-Berenguer-Maldonado\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-351\" src=\"https:\/\/blogs.ugr.es\/miberenguer\/wp-content\/uploads\/sites\/101\/2021\/08\/RG.png\" alt=\"Link Research Gate\" width=\"54\" height=\"58\" \/><\/a><\/h2>\n<hr \/>\n<h2><span style=\"color: #000080\">Publications<\/span><\/h2>\n<h3>2015-<\/h3>\n<div class=\"list-title margin-size-24-t margin-size-0-b text-width-32\">\n<ul>\n<li>M.I. Berenguer, D. G\u00e1mez, H. Kunze, D. La Torre, M. Ruiz Gal\u00e1n,\u00a0<em>Solving direct and inverse problems for Fredholm-type integro-differential equations with application to pollution<\/em>, Math. Comput. Simulation 223 (2024), 394<span class=\"title-text\"><span class=\"title\"><span class=\"Highlight-module__1p2SO\">\u2014<\/span><\/span><\/span>404.\u00a0<a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0378475424001472\" target=\"_blank\" rel=\"noopener\">ART\u00cdCULO\u00a0<\/a><\/li>\n<li>M.I. Berenguer, M. Ruiz Gal\u00e1n,\u00a0<span class=\"title-text\"><em>Iterative schemes for linear equations of the second kind and related inverse problems<\/em>,\u00a0<span class=\"title\">Appl. Numer. Math. 200 (2024), 110<span class=\"Highlight-module__1p2SO\">\u2014<\/span>123<\/span>.\u00a0<a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0168927423002015\" target=\"_blank\" rel=\"noopener\">ART\u00cdCULO\u00a0<\/a><\/span><\/li>\n<li>M. I. Berenguer, D. G\u00e1mez, A.I. Garralda-Guillem, H. Kunze, D. La Torre, M. Ruiz Gal\u00e1n, <em>Solving inverse problems for mixed-variational equations on perforated domains<\/em>, Comp. Appl. Math. 42 (2023), Art. ID 297.\u00a0<a href=\"https:\/\/link.springer.com\/article\/10.1007\/s40314-023-02434-3\" target=\"_blank\" rel=\"noopener\">ART\u00cdCULO<\/a><\/li>\n<li>M. I. Berenguer, D. G\u00e1mez, A.I. Garralda-Guillem, M. Ruiz Gal\u00e1n, <em>A generalized and unified approach to the approximation of fuzzy numbers and its arithmetic and characteristics<\/em>, Fuzzy Sets and Systems 473 (2023), Art. ID 108727.\u00a0<a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S016501142300372X#se0030\" target=\"_blank\" rel=\"noopener\">ART\u00cdCULO<\/a><\/li>\n<li class=\"typography_0468e0 font-size-s_0468e0 default-color_0468e0 serif_0468e0\">M. Arana-Jim\u00e9nez, M.I. Berenguer, D. G\u00e1mez, A.I. Garralda Guillem, M. Ruiz Gal\u00e1n, <em>A perturbed collage theorem and its application to inverse interval integral problems<\/em>, Comm. Nonlinear Sci. Numer. Simul. 90 (2020), 105365\u00a0<a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S1007570420301970\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICULO<\/a><\/li>\n<li class=\"typography_0468e0 font-size-s_0468e0 default-color_0468e0 serif_0468e0\">M. I. Berenguer, D. G\u00e1mez, <em>Projected iterations of fixed point type to solve nonlinear partial Volterra integro-differential equations<\/em>, Bull.Malays. Mth. Sci. Soc. 43 (2020), 4431-4442\u00a0\u00a0<a href=\"https:\/\/doi.org\/10.1007\/s40840-020-00930-x\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICULO<\/a><\/li>\n<li class=\"typography_0468e0 font-size-s_0468e0 default-color_0468e0 serif_0468e0\">M. I. Berenguer, D. G\u00e1mez, A.I. Garrralda-Guillem, M. Ruiz Gal\u00e1n, <em>Minimax inequalities and variational equations,<\/em>\u00a0In: Optimization of complex systems: theory, models, algorithms and applications, 518-525, Advances in Intelligent Systems and Computing 991, Springer, Cham, 2020.\u00a0<a href=\"https:\/\/link.springer.com\/chapter\/10.1007%2F978-3-030-21803-4_52\" target=\"_blank\" rel=\"noopener noreferrer\">CAP\u00cdTULO<\/a><\/li>\n<li class=\"typography_0468e0 font-size-s_0468e0 default-color_0468e0 serif_0468e0\">M. I. Berenguer, D. G\u00e1mez, <em>Numerical solving of several types of two-dimensional integral equations and estimation of error bound<\/em>, Math. Meth. Appl. Sci. 41 (2018), 7351\u20137366.\u00a0<a href=\"https:\/\/onlinelibrary.wiley.com\/doi\/full\/10.1002\/mma.4840\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICULO<\/a><\/li>\n<li class=\"typography_0468e0 font-size-s_0468e0 default-color_0468e0 serif_0468e0\">M. I. Berenguer, D. G\u00e1mez, <em>A\u00a0<\/em><em>computational method for solving a class of two dimensional Volterra integral equation<\/em>, J. Comput. Appl. Math. 318 (2017) 403-410.<a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S037704271630262X\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICULO<\/a><\/li>\n<li class=\"typography_0468e0 font-size-s_0468e0 default-color_0468e0 serif_0468e0\">M. I. Berenguer, D. G\u00e1mez, A. J. L\u00f3pez Linares, <em>Solution of systems of integro-differential equations using numerical treatment of fixed point<\/em>, J. Comput. Appl. Math. 315 (2017) 343\u2013353.\u00a0\u00a0<a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S037704271630543X\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICULO<\/a><\/li>\n<li class=\"typography_0468e0 font-size-s_0468e0 default-color_0468e0 serif_0468e0\">M. I. Berenguer, D. G\u00e1mez, <em>Study on convergence and error of a numerical method for solving systems of nonlinear Fredholm-Volterra integral equations of Hammerstein type<\/em>, Appl. Anal. 96 (2017), 516\u2013527.\u00a0<a href=\"https:\/\/www.tandfonline.com\/doi\/abs\/10.1080\/00036811.2015.1096346\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICULO<\/a><\/li>\n<li class=\"typography_0468e0 font-size-s_0468e0 default-color_0468e0 serif_0468e0\">M. I. Berenguer, H. Kunze, D. La Torre, M. Ruiz Gal\u00e1n, <em>Galerkin method for constrained variational equations and a collage-based approach to related inverse problems<\/em>, J. Comput. Appl. Math. 292 (2016), 67\u201375.\u00a0<a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0377042715003386\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICULO<\/a><\/li>\n<li class=\"typography_0468e0 font-size-s_0468e0 default-color_0468e0 serif_0468e0\"><span class=\"title\">M. I. Berenguer, H. Kunze, D. La Torre, M. Ruiz Gal\u00e1n, <em>Galerkin schemes and inverse boundary value problems in reflexive Banach spaces<\/em>, J. Comput. Appl. Math. 275 (2015),\u00a0<\/span>100\u2013112.\u00a0<a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0377042714003604\" target=\"_blank\" rel=\"noopener noreferrer\">ARTICULO<\/a><\/li>\n<li class=\"typography_0468e0 font-size-s_0468e0 default-color_0468e0 serif_0468e0\"><span class=\"title\">M. I. Berenguer, H. Kunze, D. La Torre, M. Ruiz Gal\u00e1n,<\/span>\u00a0<em>Set-valued nonlinear Fredholm interal equations: direct and inverse problem<\/em>. In: Interdisciplinary topics in applied mathematics, modeling and computational science, 65-71, Springer Proc. Math. Stat. 117, Springer, New York,<span id=\"journalInfo\" class=\"list-group-item\">\u00a02015.\u00a0<a href=\"https:\/\/link.springer.com\/chapter\/10.1007\/978-3-319-12307-3_10\" target=\"_blank\" rel=\"noopener noreferrer\">CAP\u00cdTULO<\/a><\/span><\/li>\n<\/ul>\n<\/div>\n<h2><span style=\"color: #000080\">Research projects with financial support<\/span><\/h2>\n<ul>\n<li>\u00a0<strong>Desigualdades minimax: fundamentos y aplicaciones a optimizaci\u00f3n y problemas inversos<\/strong>, ref. MTM2016- 80676-P, Plan Nacional de I+D+i, from 30\/12\/2016 to 29\/12\/2019.<\/li>\n<li><strong>Tratamiento num\u00e9rico de problemas de optimizaci\u00f3n convexa y de ecuaciones integrales y diferenciales<\/strong>, ref. MTM2006-12533, Plan Nacional de I+D+i, from 1\/10\/2006 to 30\/9\/2010.<\/li>\n<li><a href=\"https:\/\/blogs.ugr.es\/convex\/\"><strong>An\u00e1lisis Convexo y Num\u00e9rico<\/strong><\/a>, ref. FQM359, Plan Andaluz de I+D+i, from 22\/11\/2007.<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u00a0\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0 \u00a0\u00a0\u00a0 \u00a0 \u00a0\u00a0 \u00a0\u00a0 \u00a0\u00a0 \u00a0 Publications 2015- M.I. Berenguer, D. G\u00e1mez, H. Kunze, D. La Torre, M. Ruiz Gal\u00e1n,\u00a0Solving direct and inverse problems for Fredholm-type integro-differential equations with application to pollution, Math. Comput. Simulation 223 (2024), 394\u2014404.\u00a0ART\u00cdCULO\u00a0 M.I. Berenguer, M. Ruiz Gal\u00e1n,\u00a0Iterative schemes for linear equations [&hellip;]<\/p>\n","protected":false},"author":576,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"full-width-content","footnotes":""},"categories":[],"tags":[],"class_list":{"0":"post-153","1":"page","2":"type-page","3":"status-publish","5":"entry","6":"has-post-thumbnail"},"_links":{"self":[{"href":"https:\/\/blogs.ugr.es\/miberenguer\/wp-json\/wp\/v2\/pages\/153","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ugr.es\/miberenguer\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/blogs.ugr.es\/miberenguer\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ugr.es\/miberenguer\/wp-json\/wp\/v2\/users\/576"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ugr.es\/miberenguer\/wp-json\/wp\/v2\/comments?post=153"}],"version-history":[{"count":3,"href":"https:\/\/blogs.ugr.es\/miberenguer\/wp-json\/wp\/v2\/pages\/153\/revisions"}],"predecessor-version":[{"id":423,"href":"https:\/\/blogs.ugr.es\/miberenguer\/wp-json\/wp\/v2\/pages\/153\/revisions\/423"}],"wp:attachment":[{"href":"https:\/\/blogs.ugr.es\/miberenguer\/wp-json\/wp\/v2\/media?parent=153"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ugr.es\/miberenguer\/wp-json\/wp\/v2\/categories?post=153"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ugr.es\/miberenguer\/wp-json\/wp\/v2\/tags?post=153"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}