Publications

Articles

• 1. Robust feedback control of collisional plasma dynamics in presence of uncertainties. Albi, G., Dimarco, G., Ferrarese, F., Pareschi, L. Journal of Computational Physics 2026, 546, 114512 .

  2. Instantaneous control strategies for magnetically confined fusion plasma. Albi, G., Dimarco, G., Ferrarese, F., Pareschi, L. Journal of Computational Physics. 2025, 527, 113804 .

  3. A data-driven kinetic model for opinion dynamics with social network contacts. Albi, G., Calzola, E., Dimarco, G. European Journal of Applied Mathematics. 2025, 36(2), pp. 264–290 .

  4. Impact of opinion formation phenomena in epidemeic dynamics: kinetic modeling on networks. G. Albi E. Calzola, G. Dimarco, M. Zanella. SIAM Journal on Applied Mathematics, 85 (2025), pp. 779-805.

  5. Studying Ballistic Aggregation Phenomena through Efficient Time Stepping Approaches. P. Degond, G. Dimarco,  S. Hetcht, M. Ferreira. SIAM Journal on Applied Dynamical Systems, 24 (2025), pp. 710-743.

  6. A data augmentation strategy for deep neural networks with application to epidemic modelling. M. Awais,  A.S. Ali, G. Dimarco, F. Ferrarese,  L. Pareschi. Bollettino dell'Unione Matematica Italiana. (2025).

  7. Emergence of condensation patterns in kinetic equations for opinion dynamics. E. Calzola, G. Dimarco, G. Toscani, M. Zanella.  Physica D Nonlinear Phenomena. 470 (2024),  134356.

  8. A multiagent description of the influence of higher education on social stratification. G. Dimarco, G. Toscani, M. Zanella. Journal of Economic Interaction and Coordination. 19 (2024), pp. 493-521.

  9. Micro-Macro stochastic Galerkin methods for nonlinear Fokker-Planck equations with random inputs. G. Dimarco, L. Pareschi, M. Zanella. SIAM, Multiscale Modeling and Simulation. 22 (2024), pp. 527-560.

  10. Locally structure-preserving div-curl operators for high order discontinuous Galerkin schemes. W. Boscheri, G. Dimarco, L. Pareschi. J. Comput. Phys. 486 (2023), Paper No. 112130, 25 pp.

  11. A high order conservative semi-Lagrangian solver for 3D free surface flows with sediment transport on Voronoi meshes. M. Bergami, W. Boscheri, G. Dimarco. Commun. Appl. Math. Comput. 5 (2023), no. 2, 596–637.

  12.  A multi-agent description of the influence of higher education on social stratification. G. Dimarco, G. Toscani, M. Zanella. Journal of Economic interaction and coordination, (2022).

  13. Kinetic modelling of epidemic dynamics: social contacts, control with uncertain data, and multiscale spatial dynamics. G. Albi, G. Bertaglia, W. Boscheri, G.Dimarco, L. Pareschi, G. Toscani, M. Zanella. Bellomo N., Chaplain M.A.J. (eds) Predicting Pandemics in a Globally Connected World, Vol. 1 (2022) Modeling and Simulation in Science, Engineering and Technology.

  14.  A new mixed Boltzmann-BGK model for mixtures solved with an IMEX finite volume scheme on unstructured meshes. M. Bisi, W. Boscheri, G. Dimarco, M. Groppi, G. Martalò. Appl. Math. Comput. 433, Paper No. 127416, 28 pp. (2022).

  15.  On a hybrid continuum-kinetic model for complex fluids. A. Chertock, P. Degond, G. Dimarco, M. Lukacova-Medvidova, A. Ruhi. Partial Differ. Equ. Appl. 3, no. 5, Paper No. 63, 28 pp. (2022).

  16. Optimal control of epidemic spreading in presence of social heterogeneity. G. Dimarco, G. Toscani, M. Zanella. Philos. Trans. Roy. Soc. A 380, no. 2224, Paper No. 20210160, 16 pp. (2022).

  17.  Kinetic derivation of Aw-Rascle-Zhang-type traffic models with driverassist vehicles. G. Dimarco, A. Tosin, M. Zanella. J. Stat. Phys. 186 (2022), no. 1, Paper No. 17, 26 pp.

  18. High order finite volume schemes with IMEX time stepping for the Boltzmann model on unstructured meshes W. Boscheri, G. Dimarco. Computer & Fluids 233, 105224, (2022).

  19.  Social contacts and the spread of infectious diseases. G. Dimarco, B. Perthame, G. Toscani and M. Zanella. Journal of Mathematical Biology,  83(1),4 (2021).

  20.  A data-driven epidemic model with social structure for understanding the COVID-19 infection on a heavily affected Italian Province. M. Azzi, C. Bardelli, S. Deandrea, G. Dimarco, S. Figini, P. Perotti, G. Toscani, M. Zanella. Mathematical Models and Methods in Applied Sciences, vol 31. pp. 2533-2570 (2021).

  21. An efficient all Mach second order finite volume solver for compressible Navier-Stokes equations. W. Boscheri, G. Dimarco, M. Tavelli. Comput. Methods Appl. Mech. Engrg. 374, 113602, 39 pp, (2021).

  22.  A new deviational Asymptotic Preserving Monte Carlo method for the homogeneous Boltzmann equation. A. Crestetto, N. Crouseilles, G. Dimarco, M. Lemou. Commun. Math. Sci. 18, no. 8, 2305–2339, (2020).

  23.  Social climbing and Amoroso distribution G. Dimarco, G. Toscani. Math. Models Methods Appl. Sci. 30, no. 11, 2229–2262, (2020).  

  24. Wealth distribution under the spread of infectious diseases. G. Dimarco, L. Pareschi, G. Toscani, M. Zanella. Physical Review E 102, 022303 (2020).

  25. High order Central WENO-Implicit-Explicit Runge Kutta schemes for the BGK model on general polygonal meshes. W. Boscheri, G. Dimarco, Journal of Computational Physics 422, 109766 (2020).

  26.  Implicit-Explicit Multistep methods for hyperbolic systems with multiscale relaxation. G. Albi, G. Dimarco, L. Pareschi, SIAM Journal on Scientific Computing 42, pp. A2402-A2435 (2020).

  27. A second order all Mach number IMEX finite volume solver for the three dimensional Euler equations. W. Boscheri, G. Dimarco, R. Loub`ere, M. Tavelli, M.-H. Vignal. Journal of Computational Physics Vol. 415, 109486, (2020).

  28. Multiscale variance reduction methods based on multiple control variate for kinetic equations with uncertainties. G. Dimarco and L. Pareschi. SIAM, Multiscale Modeling and Simulation Vol. 18, pp. 351-382, (2020).

  29. The Aw-Rascle Traffic Model: Enskog-Type Kinetic Derivation and Generalisations G. Dimarco and A. Tosin. Journal of Statistical Physics Vol. 178, pp. 178-210, (2020). 

  30.  Kinetic Modeling of Alcohol Consumption. G. Dimarco and G. Toscani. Journal of Statistical Physics Vol. 177, pp. 1022-1042, (2019).

  31. Asymptotically complexity diminishing schemes (ACDS) for kinetic equations in the diffusive scaling. A. Crestetto, N. Crouseilles, G. Dimarco, M. Lemou. Journal of Computational Physics Vol. 394, pp. 243-262, (2019).

  32.  Multi-scale control variate methods for uncertainty quantification in kinetic equations. G. Dimarco, L. Pareschi. Journal of Computational Physics Vol. 388, pp. 63-89, (2019).

  33. A class of low dissipative schemes for solving kinetic equations. G. Dimarco, C. Hauck, R. Loub`ere. Journal of Scientific Computing Vol. 78, pp. 393-432, (2019).

  34. Asymptotic Preserving Monte Carlo Methods for transport equations in the diffusive limit. G. Dimarco, L. Pareschi and G. Samaey. SIAM Journal on Scientific Computing Vol. 40, pp. A504-A528, (2018).

  35. Second order Implicit-Explicit Total Variation Diminishing Schemes for the Euler system in the low Mach number regime. G. Dimarco, V. Dansanc, R. Loub`ere and M.-H. Vignal. Journal of Computational Physics Vol. 372, pp. 178-201, (2018).

  36. An efficient numerical method for solving the Boltzmann equation in multidimensions, G. Dimarco, R. Loubere, J. Narski and T. Rey. Journal of Computational Physics Vol. 353, pp. 46-81, (2018).

  37. Study of a new Asymptotic Preserving scheme for the Euler system in the low Mach number limit, G. Dimarco, R. Loub`ere and M.-H. Vignal. SIAM Journal of Scientific Computing Vol. 39, pp. A2099-A2128, (2017).

  38. Are tumor cell lineages solely shaped by mechanical forces? M. Leroy- Leretre, G. Dimarco, M. Cazales, M.L. Boizeau, B. Ducommun, V. Lobjois, P. Degond. Bulletin of Mathematical Biology Vol. 79, pp. 2356-2393, (2017).

  39. Implicit explicit linear multistep methods for stiff kinetic equations, G. Dimarco and L. Pareschi. SIAM Journal of Numerical Analysis, Vol. 55, pp. 664- 690, (2017).

  40. Asymptotic preserving and time diminishing schemes for rarefied gas dynamics, N. Crouseilles, G. Dimarco and M. Lemou. Kinetic and Related Models, Vol. 10, pp. 643-668, (2017).

  41. Multiscale schemes for the BGK-Vlasov-Poisson system in the quasineutral and fluid limits. Stability analysis and first order schemes, N. Crouseilles, G. Dimarco and M.-H. Vignal. SIAM Multiscale Modeling and Simulations, Vol.14, pp. 65-95, (2016).

  42. Self Alignement driven by jump processes: macroscopic limit and numerical investigation, G. Dimarco and S. Motsch. Mathematical Models and Methods in Applied Sciences, Vol. 26, pp. 1385-1410. (2016).

  43. Numerical methods for plasma physics in collisional regimes, G. Dimarco, Q. Li, B. Yan and L. Pareschi, Journal of Plasma Physics, pp. 305810106, (2015).

  44. Towards an ultra efficient kinetic scheme. Part III: High performance computing, G. Dimarco, R. Loubere and J. Narski. Journal of Computational Physics, Vol 284, pp. 22-39, (2015).

  45. Macroscopic models of collective motion with repulsion, P. Degond, G. Dimarco, T. B. N. Mac, N. Wang. Communications in Mathematical Sciences, Vol. 13, pp. 1615-1638, (2015).

  46. A multiscale fast semi-Lagrangian method for rarefied gas dynamics, G. Dimarco, R. Loubere, V. Rispoli. Journal of Computational Physics, Vol. 291, pp. 99-119, (2015).

  47. Hydrodynamics of the Kuramoto-Vicsek model of rotating self-propelled particles. P. Degond, G. Dimarco and T.B..N Mac, Mathematical Models and Methods in Applied Sciences Vol. 24, No. 02, pp. 277-325 (2014).

  48. Implicit-Explicit Runge-Kutta schemes for the Boltzmann-Poisson system for semiconductors. G. Dimarco , L. Pareschi and V. Rispoli. Communications in Computational Physics Vol. 15, pp. 1291-1319 (2014).

  49. Numerical methods for kinetic equations. G. Dimarco , L. Pareschi, Acta Numerica, Vol. 23, pp. 369-520 (2014).

  50.  An asymptotic preserving automatic domain decomposition method for the Vlasov-Poisson-BGK system with applications to plasmas. G. Dimarco, L. Mieussens and V. Rispoli, Journal of Computational Physics Vol. 274, pp. 122-139 (2014).

  51. The hybrid moment guided Monte Carlo method for the Boltzmann equation, Dimarco, G., Kinetic and Related Models, Vol 6, pp. 291-315 (2013).

  52. Asymptotic preserving Implicit-Explicit Runge-Kutta methods for non linear kinetic equations, Dimarco, G.; Pareschi, L., SIAM Journal of Numerical Analysis, Vol. 51, pp. 1064-1087 (2013) .

  53. Towards an ultra efficient kinetic scheme. Part I: basics on the BGK equation, G. Dimarco, R. Loubere. Journal of Computational Physics, Vol. 255, pp. 680-698 (2013).

  54. Towards an ultra efficient kinetic scheme. Part II: The high order case. G. Dimarco and R. Loubere. Journal of Computational Physics, Vol. 255, pp. 699-719 (2013).

  55. Fluid simulations with localized Boltzmann upscaling by Direct Simulation Monte-Carlo, Degond, P., Dimarco, G., Journal of Computational Physics, Volume 231, Issue 6, 20 (2012), 2414–2437.

  56. High order asymptotic-preserving schemes for the Boltzmann equation, Dimarco, G., Pareschi, L., Comptes Rendue Acad. Sci. Paris, Ser. I 350 (2012) 481-486.

  57. The Moment Guided Monte Carlo Method. P. Degond, G. Dimarco, L. Pareschi. International Journal for Numerical Methods in Fluids, Vol.67, Issue 2, pp. 189-213 (2011).

  58. Exponential Runge-Kutta methods for stiff kinetic equations. G. Dimarco, L. Pareschi. SIAM Journal of Numerical Analysis, Vol. 49, pp. 2057-2077 (2011).

  59. Fluid Solver Independent Hybrid Methods for Multiscale Kinetic equations. G. Dimarco, L. Pareschi. SIAM Journal on Scientific Computing Vol. 32 issue 2, pp. 603-634 (2010).

  60. A Multiscale Kinetic-Fluid Solver With Dynamic Localization Of Kinetic Effects. P. Degond, G. Dimarco, L. Mieussens. Journal of Computational Physics, Vol. 229, Issue 13, pp. 4907-4933 (2010).

  61.  Direct simulation Monte Carlo schemes for Coulomb interactions in plasmas. G. Dimarco, R. Caflisch, L. Pareschi. Communications in Applied and Industrial Mathematics, Vol. 1, Issue 1, pp. 72-91 (2010).

  62. Modelli e Metodi Numerici per Equazioni Iperboliche e Cinetiche Multiscala. G. Dimarco. Bollettino dell’Unione Matematica Italiana: La Matematica nella Societ`a e nella cultura, Vol.2, pp. 235-238 (2009) .

  63. A Hybrid Method for Accelerated Simulation of Coulomb Collisions in a Plasma. R. Caflisch, C. Wang, G. Dimarco, B. Cohen and A. Dimits, SIAM Journal of Multiscale Modeling and Simulation Vol. 7, Issue 2, pp. 865-887 (2008).

  64.  Hybrid Multiscale Methods II. Kinetic Equations. G. Dimarco, L. Pareschi. SIAM Multiscale Modeling and Simulation Vol 6., No 4, pp. 1169-1197 (2007)

  65. A Moving Interface Method for Dynamic Kinetic-fluid Coupling. P.Degond, G. Dimarco, L. Mieussens. Journal of Computational Physics Vol. 227, pp. 1176-1208, (2007).

  66. Hybrid Multiscale Methods I. Hyperbolic Relaxation Problems. G. Dimarco, L. Pareschi, Communications in Mathematical Sciences, Vol 4, No. 1, pp.155- 177, (2006).

Proceedings

• 67. An Hybrid Method for the Boltzmann Equation, R. Caflisch, G. Dimarco, L. Pareschi. AIP Proceedings 1786 of the 30th International Symposium on Rarefied Gas Dynamics: RGD 30, 1800001, (2016).

  68.  Asymptotically implicit schemes for the hyperbolic heat equation, G. Dimarco, L. Pareschi, V. Rispoli.i, Proceedings of the 14th International Conference on Hyperbolic problems: Theory, Numerics, Applications, AIMS series on applied mathematics, pp. 865-872 (2014).

  69. A smooth transition approach between the Vlasov-Poisson and the Euler- Poisson system, G. Dimarco, L. Mieussens and V. Rispoli. Proceedings of the 21st International Conference on Domain Decomposition Methods. Domain Decomposition Methods in Science and Engineering XXI, Lecture Notes in Computational Science and Engineering 98, Springer-Verlag 2014.

  70. Hybrid Monte Carlo schemes for plasma simulations, G.Dimarco, J. Narski. ICNAAM 2011. American Institute of Physics Conference Proceedings, 1389, pp. 1130–1133.

  71. Simulation of non equilibrium plasmas with a numerical noise reduced particle in cell method. P. Degond, F. Deluzet, G. Dimarco, G. Gallice, P. Santagati and C. Tessieras. In Proceedings of the 27th International Symposium on Rarefied Gas Dynamics. Pacific Grove, California, AIP Conference Proceedings, Vol. 133, pp. 1112-1117 (2010).

  72. Domain Decomposition Techniques and Hybrid Multiscale Methods for Kinetic Equations. G. Dimarco, L. Pareschi, Proceedings of the 11th International Conference on Hyperbolic problems: Theory, Numerics, Applications, pp. 457-464 (2007).

  73. A remark on the finite number of particles effect in Monte Carlo methods for kinetic equations. G. Dimarco, P. Foscari, L. Pareschi. Proceedings of the 6th International Congress on Industrial and Applied Mathematics ICIAM07 Volume 7, Issue 1, pp. 1041003-1041004 (2007).

  74. Hybrid Simulation of Ion Acoustic Waves Including Coulomb Collisions. R. Caflisch, G. Dimarco, Bruce Cohen, Andris Dimits, C.M. Wang, Yanghong Huang. 49th Annual Meeting of the Division of Plasma Physics, Novembre 12-16, 2007; Orlando, Florida, USA. Bulletin of the American Physical Society Vol 52, N 11.

  75. A Hybrid Monte Carlo Method for Coulomb Collisions. R. Caflisch, G. Dimarco, Bruce Cohen, Andris Dimits, C.M. Wang, Yanghong Huang. 49th Annual Meeting of the Division of Plasma Physics, Novembre 12-16, 2007; Orlando, Florida, USA. Bulletin of the American Physical Society Vol 52, N 11.

  76. Simulation of sheath problems with an accelerated Monte Carlo method. R. Caflisch, G. Dimarco, Bruce Cohen, Andris Dimits, C.M. Wang, Yanghong Huang, 49th Annual Meeting of the Division of Plasma Physics, Novembre 12-16, 2007; Orlando, Florida, USA. Bulletin of the American Physical Society Vol 52, N11.

PhD Thesis

• 77. Modeling and Numerical Methods for Multiscale Hyperbolic and Kinetic Equations. G. Dimarco. Annali on line dell’ Universit´a di Ferrara Vol.I 2 (2007).