Pubblicazioni
Articoli su rivista:
- Bertaglia G., Pareschi L., Caflisch R.E. Gradient-based Monte Carlo methods for relaxation approximations of hyperbolic conservation laws, Journal of Scientific Computing, 100:60, 2024. DOI: 10.1007/s10915-024-02614-1.
- Boscheri W., Bertaglia G. Local Virtual Element basis functions for space-time Discontinuous Galerkin schemes on unstructured Voronoi meshes, Communications in Computational Physics, 36(2):348-388, 2024. DOI: 10.4208/cicp.OA-2024-0015.
- Bertaglia G. Bondesan A., Burini D., Eftimie R., Pareschi L., Toscani G. New Trends on the Systems Approach to Modeling SARS-CoV-2 Pandemics in a Globally Connected Planet, Mathematical Models and Methods in Applied Sciences, 34(11):1995-2054, 2024. DOI: 10.1142/S0218202524500301.
- Bertaglia G., Pareschi L., Toscani G. Modelling contagious viral dynamics: a kinetic approach based on mutual utility, Mathematical Biosciences and Engineering, 21(3):4241–4268, 2024. DOI: 10.3934/mbe.2024187
- Bertaglia G., Pareschi L. Multiscale constitutive framework of one-dimensional blood flow modeling: Asymptotic limits and numerical methods. SIAM Journal on Multiscale Modeling and Simulation, 21(3):1237–1267, 2023. DOI: 10.1137/23M1554230
- Celant M., Toro E.F., Bertaglia G., Cozzio S., Caleffi V., Valiani A., Blanco J.P., Muller L.O. Modelling essential hypertension with a closed-loop mathematical model for the entire human circulation. International Journal for Numerical Methods in Biomedical Engineering, e3748, 2023. DOI: 10.1002/cnm.3748
- Boscheri W., Chiozzi A., Carlino M.G., Bertaglia G. A new family of semi-implicit Finite Volume / Virtual Element methods for incompressible flows on unstructured meshes. Computer Methods in Applied Mechanics and Engineering, 414:116140, 2023. DOI: 10.1016/j.cma.2023.116140
- Bertaglia G., Lu C., Pareschi L., Zhu X. Asymptotic-Preserving Neural Networks for multiscale hyperbolic models of epidemic spread. Mathematical Models and Methods in Applied Sciences, 32(10):1949–1985, 2022. DOI: 10.1142/S0218202522500452
- Piccioli F., Bertaglia G., Valiani A., Caleffi V. Modeling blood flow in networks of viscoelastic vessels with the 1-D augmented fluid-structure interaction system. Journal of Computational Physics, 464:111364, 2022. DOI: 10.1016/j.jcp.2022.111364
- Bertaglia G., Liu L., Pareschi L., Zhu X. Bi-fidelity stochastic collocation methods for epidemic transport models with uncertainties. Networks & Heterogeneous Media 17(3):401–425, 2022. DOI: 10.3934/nhm.2022013
- Bertaglia G., Boscheri W., Dimarco G., Pareschi L. Spatial spread of COVID-19 epidemic outbreak in Italy using multiscale kinetic transport equations with uncertainty. Mathematical Biosciences and Engineering 18(5):7028–7059, 2021. DOI: 10.3934/mbe.2021350
- Bertaglia G., Pareschi L. Hyperbolic compartmental models for epidemic spread on networks with uncertain data: application to the emergence of Covid-19 in Italy. Mathematical Models and Methods in Applied Sciences, 31(12):2495–2531, 2021. DOI: 10.1142/S0218202521500548
- Bertaglia G., Pareschi L. Hyperbolic models for the spread of epidemics on networks: kinetic description and numerical methods. ESAIM: Mathematical Modelling and Numerical Analysis 55(2):381–407, 2021. DOI: 10.1051/m2an/2020082
- Bertaglia G., Caleffi V., Pareschi L., Valiani A. Uncertainty quantification of viscoelastic parameters in arterial hemodynamics with the a-FSI blood flow model. Journal of Computational Physics 430:110102, 2021. DOI: 10.1016/j.jcp.2020.110102
- Bertaglia G., Navas-Montilla A., Valiani A., Monge García M. I., Murillo J., Caleffi V. Computational hemodynamics in arteries with the one-dimensional augmented fluid-structure interaction system: viscoelastic parameters estimation and comparison with in-vivo data. Journal of Biomechanics 100(C):109595, 2020. DOI: 10.1016/j.jbiomech.2019.109595
- Bertaglia G., Caleffi V., Valiani A. Modeling blood flow in viscoelastic vessels: the 1D augmented fluid-structure interaction system. Computer Methods in Applied Mechanics and Engineering 360(C):112772, 2020. DOI: 10.1016/j.cma.2019.112772
- Bertaglia G., Ioriatti M., Valiani A., Dumbser M., Caleffi V. Numerical methods for hydraulic transients in visco-elastic pipes. Journal of Fluids and Structures 81(C):230–254, 2018. DOI: 10.1016/j.jfluidstructs.2018.05.004
Capitoli di libro:
- Bertaglia G. Asymptotic-Preserving Neural Networks for hyperbolic systems with diffusive scaling. In: Albi G., Boscheri W. & Zanella M. (eds.) Advances in Numerical Methods for Hyperbolic Balance Laws and Related Problems, SEMA SIMAI Springer Series, pp. 23-48, 2023. ISBN: 978-3-031-29874-5, DOI: 10.1007/978-3-031-29875-2_2
- Albi G., Bertaglia G., Boscheri W., Dimarco G., Pareschi L., Toscani G., Zanella M. Kinetic modelling of epidemic dynamics: social contacts, control with uncertain data, and multiscalespatial dynamics. In: Bellomo N. & Chaplain M.A.J. (eds.) Predicting Pandemics in a Globally Connected World, Vol. 1, Birkhauser-Springer Series: Modeling and Simulation in Science, Engineering and Technology, pp. 43-108, 2022. ISBN: 978-3-030-96561-7, DOI: 10.1007/978-3-030-96562-4_3
Articoli a convegno:
- Piccioli F., Bertaglia G., Valiani A., Caleffi V. Consistent treatment of boundary conditions for blood flow modeling in networks of viescoelastic vessels. Proceedings of the 7th International Conference on Computational and Mathematical Biomedical Engineering - CMBE2022, 156–159, 2022. ISSN: 2227-3085 (print format), 2227-9385 (online format)
- Bertaglia G., Caleffi V., Pareschi L., Valiani A. The value of viscoelasticity in computational hemodynamics: Uncertainty quantification and comparison with in-vivo data. Proceedings of the 7th International Conference on Computational and Mathematical Biomedical Engineering - CMBE2022, 152–155, 2022. ISSN: 2227-3085 (print format), 2227-9385 (online format)
- Bertaglia G. Multiscale kinetic transport models for the spread of epidemics with uncertain data. Proceedings of the 8th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS Congress 2022, 2022. DOI: 10.23967/eccomas. 2022.191
- Bertaglia G. Augmented fluid-structure interaction systems for viscoelastic pipelines and blood vessels. Proceedings of the YIC 2021 – VI ECCOMAS Young Investigators Conference, 431–439, 2021. DOI: 10.4995/YIC2021.2021.13450
- Piccioli F., Bertaglia G., Valiani A., Caleffi V. Modellazione del flusso sanguigno in reti di vasi viscoelastici. Atti del XXXVII Convegno Nazionale di Idraulica e Costruzioni Idrauliche, 1–4, 2021. ISBN: 9788894379914
- Bertaglia G., Navas-Montilla A., Valiani A., Monge García M. I., Murillo J., Caleffi V. Modellazione del flusso sanguigno con sistema a-FSI: stima dei parametri e validazione in-vivo. Atti del XXXVII Convegno Nazionale di Idraulica e Costruzioni Idrauliche, 1–4, 2021. ISBN: 9788894379914
- Bertaglia G., Caleffi V., Valiani A. Modellazione del flusso sanguigno in vasi viscoelastici. Atti del XXXVII Convegno Nazionale di Idraulica e Costruzioni Idrauliche, 1–4, 2021. ISBN: 9788894379914
- Müller L. O., Celant M., Toro E. F., Blanco P. J., Bertaglia G., Caleffi V., Valiani A. The Selfish-Brain Hypothesis as possible cause of arterial hypertension: a modeling study. Proceedings of the 6th International Conference on Computational and Mathematical Biomedical Engineering, 592–595, 2019. ISSN: 2227-3085 (in print), 2227-9385 (online)
- Bertaglia G., Ioriatti M., Valiani A., Dumbser M., Caleffi V. Modelli numerici per lo studio di fenomeni transitori idraulici in condotte viscoelastiche. Atti del XXXVI Convegno Nazionale di Idraulica e Costruzioni Idrauliche, 1–4, 2018. ISBN: 9788894379907
- Bertaglia G., Valiani A., Caleffi V. The augmented FSI system for blood flow in compliant vessels. Proceedings of the 5th IAHR Europe Congress — New Challenges in Hydraulic Research and Engineering, 153–154, 2018. ISBN: 9789811127311
- Bertaglia G., Ioriatti M., Valiani A., Dumbser M., Caleffi V. A comparison of numerical methods for compressible flows in viscoelastic pipes. Proceedings of the 5th IAHR Europe Congress — New Challenges in Hydraulic Research and Engineering, 17–18, 2018. ISBN: 9789811127311