Profile (CV) of the research teaching staff

Gracia Lozano, José Luis
Department: Departamento de Matemática Aplicada
Field: Matemática Aplicada
Faculty: Escuela de Ingeniería y Arquitectura

Research Institute: INSTITUTO UNIVERSITARIO DE MATEMÁTICAS Y APLICACIONES (IUMA)
Group: E24_23R: APEDIF (Aplicaciones de Ecuaciones Diferenciales)

UNESCO codes
  • Ecuaciones íntegro-diferenciales
  • Ecuaciones diferenciales ordinarias
  • Ecuaciones diferenciales en derivadas parciales

Number of 6-year periods of research productivity evaluation
  • CNEAI research evaluation. 01/01/24
  • CNEAI research evaluation. 01/01/18
  • CNEAI research evaluation. 01/01/12
  • CNEAI research evaluation. 01/01/06
Academic position: Prof. Titular Univ.

Academic position
  • Secretario del Instituto Universitario de Investigación de Matemáticas y Aplicaciones
Email: jlgracia@unizar.es
Personal web page: https://sideral.unizar.es/sideral/CV/jose-luis-gracia-lozano
ORCID number: 0000-0003-2538-9027

Research interests
  • Análisis numérico en ecuaciones en derivadas parciales
  • Álgebra lineal numérica
  • Análisis numérico en ecuaciones diferenciales ordinarias

PhDs
  • Doctor en Ciencias, sección Matemáticas, especialidad Matemática Aplicada. Universidad de Zaragoza. Universidad de Zaragoza. 1999

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I have been a faculty member in the Department of Applied Mathematics at the University of Zaragoza since 1994 (Tenured Lecturer in 2000 and Associate Professor in 2007). A significant part of my research has focused on the numerical approximation of singularly perturbed problems, including convection–diffusion problems with dominant convection, the topic of my Ph.D. thesis (1999). These problems exhibit a multiscale behaviour, and I have analysed the uniform convergence of numerical schemes for elliptic and parabolic problems.

Since 2012, I have also worked on the numerical approximation of fractional differential equations, which are used to model anomalous diffusion processes. These equations typically present singularities, and I have contributed to the design and analysis of advanced numerical methods for both time- and space-fractional initial-boundary value problems.

In parallel, to improve computational efficiency, I have further contributed to the convergence analysis of multigrid methods for various models (e.g., poroelastic media) and to reduced-order models applied to the shallow water equations, the latter developed in collaboration with the Computational Hydraulics and Hemodynamics Group at the University of Zaragoza.

I have 79 publications in collaboration with 20 co-authors, with 2,163 citations in Scopus and 2,960 in Google Scholar, many resulting from a close international collaboration with Profs. E. O’Riordan and M. Stynes over the past two decades, supported by research stays in Ireland and China. I have delivered 55 talks and co-authored another 75. For my research, I have received funding from national research projects since 1998 and from projects funded by the Government of Aragón since 2003.

In academic administration, I was Vice-Director of Escuela de Ingeniería Técnica de Zaragoza (2009-2011), and I have been Academic Secretary of Instituto de Investigación de Matemáticas y Aplicaciones (IUMA) since 2018. I have participated in the organization of the international conferences BAIL 2010 and CEDYA 2022 (both in Zaragoza) and I am the responsible of the biennial Zaragoza–Pau conferences (2018, 2022, and 2024, all in Jaca).

In advanced studies, I have co-supervised one Ph.D. thesis (2024), two Master’s theses (2024 and 2025), ten Final Degree Projects, and two Bachelor’s theses. I am currently co-supervising two Ph.D. theses and one Bachelor’s thesis.

Most relevant contributions during 2020–2025:

* h-index: 21 (Scopus), 25 (Google Scholar).
* Four research merit awards (sexenios): 2006, 2012, 2018, and 2024.
* Indexed articles: 15 (13 Q1) and 1 paper in press (Q1).
* Co-supervision of Ph.D. thesis: Pablo Solán, “Reduced-order models based on POD applied to hyperbolic problems” (2024).
* 2 Ph.D. theses co-supervised (ongoing): Luis Sánchez: Patient-specific data assimilation for hemodynamic modeling (funded by the Government of Aragón, 2025–2028) and Rafael Selva: Study of long-term growth models in Biological problems.
* Editor of the Proceedings XXVII CEDYA/XVII CMA (Zaragoza, 2022), 2023.
* Editor of the Proceedings XVI Zaragoza–Pau Conference (Jaca, 2022), 2024. The 2024 edition is in preparation.
* Participant in projects funded by the Government of Aragón: 2020–2022 and 2023–2025.
* Participant in projects of the Spanish State Research Agency: 2020–2023 and 2023–2026 (four projects with 50% dedication).


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