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María Isabel Berenguer Maldonado

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Research

                                  Link Research Gate


Publications

2015-

  • M.I. Berenguer, D. Gámez, H. Kunze, D. La Torre, M. Ruiz Galán, Solving direct and inverse problems for Fredholm-type integro-differential equations with application to pollution, Math. Comput. Simulation 223 (2024), 394—404. ARTÍCULO 
  • M.I. Berenguer, M. Ruiz Galán, Iterative schemes for linear equations of the second kind and related inverse problems, Appl. Numer. Math. 200 (2024), 110—123. ARTÍCULO 
  • M. I. Berenguer, D. Gámez, A.I. Garralda-Guillem, H. Kunze, D. La Torre, M. Ruiz Galán, Solving inverse problems for mixed-variational equations on perforated domains, Comp. Appl. Math. 42 (2023), Art. ID 297. ARTÍCULO
  • M. I. Berenguer, D. Gámez, A.I. Garralda-Guillem, M. Ruiz Galán, A generalized and unified approach to the approximation of fuzzy numbers and its arithmetic and characteristics, Fuzzy Sets and Systems 473 (2023), Art. ID 108727. ARTÍCULO
  • M. Arana-Jiménez, M.I. Berenguer, D. Gámez, A.I. Garralda Guillem, M. Ruiz Galán, A perturbed collage theorem and its application to inverse interval integral problems, Comm. Nonlinear Sci. Numer. Simul. 90 (2020), 105365 ARTICULO
  • M. I. Berenguer, D. Gámez, Projected iterations of fixed point type to solve nonlinear partial Volterra integro-differential equations, Bull.Malays. Mth. Sci. Soc. 43 (2020), 4431-4442  ARTICULO
  • M. I. Berenguer, D. Gámez, A.I. Garrralda-Guillem, M. Ruiz Galán, Minimax inequalities and variational equations, In: Optimization of complex systems: theory, models, algorithms and applications, 518-525, Advances in Intelligent Systems and Computing 991, Springer, Cham, 2020. CAPÍTULO
  • M. I. Berenguer, D. Gámez, Numerical solving of several types of two-dimensional integral equations and estimation of error bound, Math. Meth. Appl. Sci. 41 (2018), 7351–7366. ARTICULO
  • M. I. Berenguer, D. Gámez, A computational method for solving a class of two dimensional Volterra integral equation, J. Comput. Appl. Math. 318 (2017) 403-410.ARTICULO
  • M. I. Berenguer, D. Gámez, A. J. López Linares, Solution of systems of integro-differential equations using numerical treatment of fixed point, J. Comput. Appl. Math. 315 (2017) 343–353.  ARTICULO
  • M. I. Berenguer, D. Gámez, Study on convergence and error of a numerical method for solving systems of nonlinear Fredholm-Volterra integral equations of Hammerstein type, Appl. Anal. 96 (2017), 516–527. ARTICULO
  • M. I. Berenguer, H. Kunze, D. La Torre, M. Ruiz Galán, Galerkin method for constrained variational equations and a collage-based approach to related inverse problems, J. Comput. Appl. Math. 292 (2016), 67–75. ARTICULO
  • M. I. Berenguer, H. Kunze, D. La Torre, M. Ruiz Galán, Galerkin schemes and inverse boundary value problems in reflexive Banach spaces, J. Comput. Appl. Math. 275 (2015), 100–112. ARTICULO
  • M. I. Berenguer, H. Kunze, D. La Torre, M. Ruiz Galán, Set-valued nonlinear Fredholm interal equations: direct and inverse problem. In: Interdisciplinary topics in applied mathematics, modeling and computational science, 65-71, Springer Proc. Math. Stat. 117, Springer, New York, 2015. CAPÍTULO

Research projects with financial support

  •  Desigualdades minimax: fundamentos y aplicaciones a optimización y problemas inversos, ref. MTM2016- 80676-P, Plan Nacional de I+D+i, from 30/12/2016 to 29/12/2019.
  • Tratamiento numérico de problemas de optimización convexa y de ecuaciones integrales y diferenciales, ref. MTM2006-12533, Plan Nacional de I+D+i, from 1/10/2006 to 30/9/2010.
  • Análisis Convexo y Numérico, ref. FQM359, Plan Andaluz de I+D+i, from 22/11/2007.

 

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