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mathematics for sustainable development

scientific coordinator: Luca Formaggia

 

The main goals for this topic are the development of mathematical models and numerical methods with applications to biomedicine (e.g., precision medicine, mathematical oncology, neurosciences) and for the sustainable use of the subsoil and mitigation of the effects of human activities (e.g., CO2 sequestration, geothermal reservoirs), as well as the implementation and analysis of scientific machine learning algorithms.

 

 

Publications

2025

  • Tomasetto, M., Braghin, F., Manzoni, A., 2025, Latent feedback control of distributed systems in multiple scenarios through deep learning-based reduced order models, Computer Methods in Applied Mechanics and Engineering, 442: 118030, https://doi.org/10.1016/j.cma.2025.118030,  
  • Brivio, S.; Fresca, S.; Manzoni, 2025, A.,Handling geometrical variability in nonlinear reduced order modeling through Continuous Geometry-Aware DL-ROMs, Computer Methods in Applied Mechanics and Engineering, 442: 117989, https://doi.org/10.1016/j.cma.2025.117989,  
  • Zhang, L., Pagani, S., Zhang, J., Regazzoni, F., 2025, Shape-informed surrogate models based on signed distance function domain encoding, Journal of Computational Physics, 538: 114178, https://doi.org/10.1016/j.jcp.2025.114178,  
  • Patanè, G., Bortolotti, T., Yordanov, V., Biagi, L. G., Brovelli, M. A., Truong, X. Q., Vantini, S., 2025, An interpretable and transferable model for shallow landslides detachment combining spatial Poisson point processes and generalized additive models, Stochastic Environmental Research and Risk Assessment, 39: 1723–1740, https://doi.org/10.1007/s00477-025-02943-z 
  • Radisic, I., Regazzoni, F., Bucelli, M., Pagani, S., Dede’, L., Quarteroni, A., 2025 Influence of cellular mechano-calcium feedback in numerical models of cardiac electromechanics, Computer Methods in Applied Mechanics and Engineering, 445: 118172, https://doi.org/10.1016/j.cma.2025.118172,  
  • Patanè, G., Nicolussi, F., Krauth, A., Gauglitz, G., Colosimo, B. M., Dedè, L., Menafoglio, A.,2025, Ordinal-on-Function Dimensionality Reduction,New Trends in Functional Statistics and Related Fields. IWFOS 2025. Contributions to Statistics, 443–450, https://doi.org/10.1007/978-3-031-92383-8_53 
  • Menafoglio, A., Scimone, R., Secchi, P., 2025. A Non-parametric Approach Based on RDDs to the Estimation of Non-stationary Spatial Covariance Functions.Italian Statistical Society Series on Advances in Statistics. Springer, Cham. https://doi.org/10.1007/978-3-031-96033-8_5 
  • A. Menafoglio, 2025. Moving Object-Oriented Spatial Statistics Beyond Stationary and Euclidean Paradigms. In New Trends in Functional Statistics and Related Fields. IWFOS 2025. Contributions to Statistics. Springer, Cham. https://doi.org/10.1007/978-3-031-92383-8_47 
  • Panzeri, S., Clemente, A., Arnone, E., Mateu, J., Sangalli, L. M., 2025. Spatio-temporal intensity estimation for inhomogeneous Poisson point processes on linear networks: A roughness penalty method. Spatial Statistics, 69, https://doi.org/10.1016/j.spasta.2025.100912 
  • Franco, N.R., Brugiapaglia, S., 2025. A practical existence theorem for reduced order models based on convolutional autoencoders. Foundations of Data Science, 2025, 7(1): 72-98, https://doi.org/10.3934/fods.2024030 
  • Liverotti, L., Ferro, N., Matteucci, M., Perotto, S., 2025. A PCA and mesh adaptation-based format for high compression of Earth Observation optical data with applications in agriculture. International Journal for Numerical Methods in Engineering, 126: e70064, https://doi.org/10.1002/nme.70064
  • Liverotti, L., Ferro, N., Soli, L., Matteucci, M., Perotto, S., 2025. Using SAR data as an effective surrogate for optical data in nitrogen variable rate applications: a winter wheat case study. Advances in Computational Science and Engineering, 2 (4): 320-341, doi:10.3934/acse.2024016
  • Di Florio, V.,  Ansalone, P.,  Siryk, S. V., Decherchi, S., de Falco, C., Rocchia, W., 2025. NextGenPB: An analytically-enabled super resolution tool for solving the Poisson-Boltzmann Equation featuring local (de)refinement. Computer Physics Communications - https://doi.org/10.1016/j.cpc.2025.109816. T10
  • Grasselli, M. , Melzi, L., Signori, A., 2026. On a non-local phase-field model for tumour growth with single-well Lennard-Jones potential.Nonlinear Anal. Real World Appl., 88: 104466, https://doi.org/10.1016/j.nonrwa.2025.104466
  • Boon, W.M. and Franco, N.R. and Fumagalli, A., 2025. Neural network solvers for parametrized elasticity problems that conserve linear and angular momentum. Computer Methods in Applied Mechanics and Engineering 437 (2025) 117759 https://doi.org/10.1016/j.cma.2025.117759. - T10
  • Lorenzo, P. and Fumagalli, A. and Longoni, L. and Papini, M. and Arosio, D. 2025. Sensitivity analysis with a 3D mixed-dimensional code for direct current geoelectrical investigations of landfills: synthetic tests. Geophysical Prospecting 2025;1–16 https://doi.org/10.1111/1365-2478.70006
  • Rokian, A.A. and Scotti, A. and Fumagalli, A. 2025. Free convection in fractured porous media: A numerical study. Advances in Water Resources 202:104988 https://doi.org/10.1016/j.advwatres.2025.104988
  • Liverotti L., Ferro N., Matteucci M., Perotto S., 2025. A PCA and Mesh Adaptation-Based Format for High Compression of Earth Observation Optical Data With Applications in Agriculture. International Journal for Numerical Methods in Engineering, 126 (12): e70064. https://doi.org/10.1002/nme.70064
  • Chen X, Yu X, Ciarletta P. 2025. A Morphoelastic Shell Theory of Biological Invagination in Embryos. Journal of Elasticity, 156:1171–1194, https://doi.org/10.1007/s10659-024-10084-7
  • Leimer Saglio C.C., S. Pagani, P. F. Antonietti, 2025. A p-adaptive polytopal discontinuous Galerkin method for high-order approximation of brain electrophysiology. Computer Methods in Applied Mechanics and Engineering, https://doi.org/10.1016/j.cma.2025.118249