Spectral convergence of the Hermite basis function solution of the Vlasov equation: The free-streaming term. - Livio Gibelli; Bernie D. Shizgal (J. Comput. Phys., 2006)

A Catastrophe-Theoretic Approach to Tricritical Points with Application to Liquid Crystals. - Livio Gibelli; Stefano S. Turzi (SIAM J. Appl. Math., 2009)

Ion energization by wave-particle interactions: Comparison of spectral and particle simulation solutions of the Vlasov equation. - Livio Gibelli; Bernie D. Shizgal; A. W. Yau (Comput. Math. Appl., 2010)

Solving the Boltzmann equation on GPUs. - Aldo Frezzotti; G. P. Ghiroldi; Livio Gibelli (Comput. Phys. Commun., 2011)

A direct method for the Boltzmann equation based on a pseudo-spectral velocity space discretization. - G. P. Ghiroldi; Livio Gibelli (J. Comput. Phys., 2014)

Crowd Dynamics by Kinetic Theory Modeling: Complexity, Modeling, Simulations, and Safety - Bouchra Aylaj; Nicola Bellomo; Livio Gibelli; Damián A. Knopoff (Crowd Dynamics by Kinetic Theory Modeling, 2020)

A weighted particle scheme for Enskog-Vlasov equation to simulate spherical nano-droplets/bubbles. - Sergiu Busuioc; Aldo Frezzotti; Livio Gibelli (J. Comput. Phys., 2023)

uniGasFoam: A particle-based OpenFOAM solver for multiscale rarefied gas flows. - Nikos Vasileiadis; Giorgos Tatsios; Craig White; Duncan A. Lockerby; Matthew K. Borg; Livio Gibelli (Comput. Phys. Commun., 2025)

A DSMC-CFD coupling method using surrogate modelling for low-speed rarefied gas flows. - Giorgos Tatsios; Arun K. Chinnappan; Arshad Kamal; Nikos Vasileiadis; Stephanie Y. Docherty; Craig White; Livio Gibelli; Matthew K. Borg; James R. Kermode; Duncan A. Lockerby (J. Comput. Phys., 2025)

A far-field boundary condition for measuring drag force on micro/nano particles. - Giorgos Tatsios; Nikos Vasileiadis; Livio Gibelli; Matthew K. Borg; Duncan A. Lockerby (J. Comput. Phys., 2025)