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
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 multiscale behavior and require specialized numerical methods. Within this framework, I have analyzed 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, 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 derivatives.

To improve computational efficiency, I have collaborated on the convergence analysis of multigrid methods for various models (e.g., poroelastic media) and co-supervised a Ph.D. thesis on reduced-order models based on Proper Orthogonal Decomposition, applied to the shallow water equations.

According to Scopus, I have 79 publications in collaboration with 20 co-authors, many of them resulting from research stays. My work has received 1,625 citations, with an annual average of 252 citations during 2020–2025. I have delivered 55 talks and participated in another 75. I have served on the Organizing Committee of international conferences held in Zaragoza (including BAIL 2010 and CEDYA 2022) and on the Zaragoza–Pau conferences (2018, 2022, and 2024 in Jaca), organized with the Université de Pau and the Institute for Research in Mathematics and Applications, where I have been Academic Secretary since 2018. I have participated in national research projects since 1998 and in regional projects funded by the Government of Aragón since 2003.

I have co-supervised 1 Ph.D. thesis (2024), 2 Master’s Theses (2024 and 2025), 10 Final Degree Projects, and 2 Bachelor’s Theses. I am currently co-supervising 2 Ph.D. theses (one funded by the Government of Aragón, December 2025–December 2028) and 1 Bachelor’s Thesis.

Most relevant contributions during 2020–2025:

* h-index: 21 (Scopus, November 2025).
* Four research merit awards (“sexenios”): 2006, 2012, 2018, and 2024.
* Indexed articles: 15 (13 in Q1 Mathematics categories) and 1 paper in press (Q1).
* Co-supervision of Pablo Solán’s Ph.D. thesis: “Reduced-order models based on proper orthogonal decomposition applied to hyperbolic problems” (2024).
* Co-supervision of the Master’s Thesis by David Miñón: “Numerical analysis of the advection–diffusion–reaction model for wildfire dynamics” (2024).
* Co-supervision of the Master’s Thesis by Luis Sánchez: “Development and implementation of numerical simulation and calibration tools for solving adjoint equations associated with hemodynamic flow and pressure waveforms in cardiovascular networks” (2025).
* Editor of the Proceedings XXVII CEDYA/XVII CMA (Zaragoza, 2022), published in 2023.
* Editor of the Proceedings XVI Zaragoza–Pau Conference (Jaca 2022), published in 2024; the 2024 edition is in preparation.
* Collaborator in regional research projects funded by the Government of Aragón: 2020–2022 and 2023–2025.
* Collaborator in national projects (Spanish State Research Agency): 2020–2023 and 2023–2026 (four projects with 50% dedication).


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