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I focus on two main research lines: a) the approximation of solutions to parametric Partial Differential Equations (PDEs) using Deep Neural Networks (DNNs), and b) the application of Deep Learning (DL) techniques to solve inverse problems involving parametric PDEs. In addition, I engage in knowledge transfer activities, supporting both companies and early-career researchers in the application of DL methods in this field. I am also developing outreach talks aimed at audiences with limited mathematical background, to promote understanding of these advanced topics.
Publications: +10 JCR Articles (+10 in Q1).
Received Citations (total) : 372 (Google Scholars) // 252 (Scopus) // 226 (WoS).
h-index: 9 (Google Scholars) // 9 (Scopus) // 8 (WoS).
i10-index: 9 (Google Scholars).
Presentations: Over 40 (25+ at International Congresses).
10+ Participations in Research Projects: European (2), National (5+), Autonomic (5+).
10+ Collaborations with industry transferring knowlgment.
2021-present: Program Committee member at the International Conference on Computational Science (ICCS)
2025.Expert External Reviewer, Spanish National Research Agency.
Reviewer for peer-reviewed journals:
“Applied Mathematics and Computation”.(Q1 in Apllied Mathematics. Source: SCIMAGO)
“Journal of Computational Science”. (Q2 in Computational Science. Source: SCIMAGO)
Supervisor of Master's Thesis for Alejandro Duque, Master’s Degree in Mathematical Modelling, Statistics and Computer Science, Public University of Navarre (UPNA). Title: Mathematical Study of Diagnostic Ultrasound. UPNA academic advisor: Víctor Domínguez.
Erasmus + supervisor of the Ph.D. student Mateusz Dobija. Jagiellonian University (Poland).
Professor in the postgraduate program Applied Artificial Intelligence and its Mathematical Foundations at the University of the Basque Country (EHU). Course taught: Linear Algebra and Optimization for AI.
Delivery of formative courses to disseminate knowledge:
2025 Short course and Working Group on “Coding Deep Neural Networks for PDEs, Chile.
2023 Short course on Coding Deep Neural Networks for PDEs, Chile.
2022 Short course on Solving Partial Differential Equations with Deep Learning, Spain.
2021 Short course on Solving Forward and Inverse Problems using Deep Learning, Spain.
2020 Short course on Deep Learning for Solving Inverse Problems using TF2.0, Spain.
2011 Short course on Engineering Acoustics, Spain. PUBLICATIONS: 10 JCR Articles.
Received Citations (total) : 150+ (Google Scholars).
h-index: 7 (Google Scholars).
i10-index: 6 (Google Scholars).
SUBMITTED PUBLICATIONS: 2 JCR Articles.
PRESENTATIONS: 35+ (20+ at International Congresses).
OTHER ACITIVITIES:
2021-Present Participant as committee program at International Conference on Computational Science (ICCS). 2022-Present Reviewer for the Journal of Computational Science (JOCS)
Capítulos
- Omella, Ángel Javier; Celorrio, Ricardo Discontinuos Galerkin method applied to photothermal inspetion of cracked materials. MONOGRAFÍAS MATEMÁTICAS GARCÍA DE GALDEANO. THIRTEENTH INTERNATIONAL CONFERENCE ZARAGOZA-PAU ON MATHEMATICS AND ITS APPLICATIONS : FROM 15TH TO 18TH OF SEPTEMBER 2014 HOLD IN JACA, SPAIN. 2015
UNIZAR teaching of the last six courses
- Cálculo. Graduado en Ingeniería de Tecnologías de Telecomunicación. During academic year 2025-26
- Matemáticas I. Graduado en Ingeniería de Tecnologías Industriales. During academic year 2025-26
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