Alexander Fuller ViguerieView profile
Researcher
Alexander Fuller Viguerie is a Researcher (Ricercatore Legge 240/10 a tempo determinato) at the Department of Pure and Applied Sciences (DiSPeA) at the University of Urbino Carlo Bo. His position involves both teaching responsibilities in mathematical courses and conducting advanced research primarily focused on numerical methods and mathematical modeling. He teaches courses including Logic, Algebra and Geometry; Numerical Methods for Linear Algebra and Functional Analysis; and Statistical Processing of Experimental Data across various programs including Informatics, Digital Innovation, and Biotechnology. Viguerie's research spans multiple interdisciplinary domains with an emphasis on numerical analysis and computational methods. His primary research interests include mathematical epidemiology (particularly modeling of infectious diseases like COVID-19), computational fluid dynamics, partial differential equations, and dynamic mode decomposition techniques. His work demonstrates a strong focus on developing and applying advanced numerical methods to solve complex problems in epidemiology, fluid mechanics, and biomedical applications. He has developed compartmental models with diffusion components for spatially resolved epidemic simulations, created novel approaches using delay differential equations for disease modeling, and applied dynamic mode decomposition to accelerate simulations of cancer growth models. His publication record shows a significant shift toward mathematical epidemiology during the pandemic years, with numerous high-impact papers analyzing the spatiotemporal spread of COVID-19 across different countries. Viguerie has developed modified SEIRD models with dynamic parameterization capabilities, enabling more accurate forecasting of pandemic trajectories. His work extends beyond epidemiology to include applications in computational fluid dynamics, additive manufacturing, and biomedical modeling, demonstrating versatility across multiple application domains while maintaining a strong methodological foundation in numerical analysis. Viguerie maintains an extensive international research network, with collaborations spanning Europe, Asia, North America, and South America. His research shows particularly strong connections with institutions in Italy, the United States, Brazil, Germany, and Singapore. This global collaboration network enables him to conduct cross-country comparative studies, as evidenced by his work analyzing the spread of COVID-19 in Italy, the USA, and Brazil. His research methodology frequently combines theoretical mathematical analysis with practical numerical implementation, resulting in tools that have potential applications in public health decision-making and engineering design processes.