Acknowledgement: the authors would like to thank the Italian Ministry of Instruction, University and Research (MIUR) to support this research with funds coming from PRIN Project 2017 (No. 2017KKJP4X entitled “Innovative numerical methods for evolutionary partial differential equations and applications”).

SBMTD = SUBMITTED [6 papers]
ACC = ACCEPTED [1 papers]
P2022 = PUBLISHED in 2022 [29 papers]
P2021 = PUBLISHED in 2021 [56 papers]
P2020 = PUBLISHED in 2020 [47 papers]
P2019 = PUBLISHED in 2019 [42 papers]
Last update: July 18, 2022

[SBMTD] G. Russo, D. T. M. Phan, S. Gavrilyuk
Numerical validation of homogeneous multifluid model

[SBMTD] F. Piccioli, G. Bertaglia, A. Valiani, V. Caleffi
Modeling blood flow in networks of viscoelastic vessels with the 1D augmented fluid-structure interaction system
preprint arXiv:2101.12614

[SBMTD] M. Fornasier, H. Huang, L. Pareschi, P. Sünnen
Anisotropic diffusion in consensus-based optimization on the sphere
preprint arXiv:2104.00420

[SBMTD] L. Pareschi, T. Rey
Moment preserving Fourier-Galerkin spectral methods and application to the Boltzmann equation
preprint arXiv:2105.13158

[SBMTD] D. Peri
Artificial intelligence algorithms in design optimization

[SBMTD] C. Balzotti, M. Briani, B. Piccoli
Estimate of emissions on road networks via Generic Second Order Models
preprint arXiv:2004.11202

[ACC] E. Cristiani, A. De Santo, M. Menci
A generalized mean-field game model for the dynamics of pedestrians with limited predictive abilities
Commun. Math. Sci., in press
preprint arXiv:2108.00086

[P2022] S. Busto, M. Dumbser, I. Peshkov, E. Romenski
On thermodynamically compatible Finite Volume schemes for continuum mechanics
SIAM J. Sci. Comput., 44, A1723-A1751

[P2022] S. Busto, M. Dumbser
A staggered semi-implicit hybrid finite volume / finite element scheme for the shallow water equations at all Froude numbers
Applied Numerical Mathematics, 175, 108-132

[P2022] S. Cacace, R. Ferretti
Efficient implementation of characteristic-based schemes on unstructured triangular grids
Comp. Appl. Math., 41, 19
preprint arXiv:2104.09189

[P2022] M. Herty, G. Puppo, G. Visconti
Model of vehicle interactions with autonomous cars and its properties
Discrete Contin. Dyn. Syst. Ser. B
preprint arXiv:2107.14081

[P2022] S. Boscarino, S. Y. Cho, G. Russo
A local velocity grid conservative semi-Lagrangian schemes for BGK model
J. Comput. Phys., 460, 111178
preprint arXiv:2107.08626

[P2022] S. Boscarino, J. Qiu, G. Russo, T. Xiong
High order semi-implicit WENO schemes for all-Mach full Euler system of gas dynamics
SIAM J. Sci. Comput., 44, B368-B394
preprint arXiv:2106.02506

[P2022] S. Tiwari, A. Klar, G. Russo
A meshfree arbitrary Lagrangian-Eulerian method for the BGK model of the Boltzmann equation with moving boundaries
J. Comput. Phys., 458, 111088
preprint arXiv:2109.05822

[P2022] A. Raudino,  A. Grassi, G. Lombardo, G. Russo, C. Astuto, M. Corti
Anomalous sorption kinetics of self-interacting particles by a spherical trap
Commun. Comput. Phys., 31, 707-738

[P2022] G. Dimarco, A. Tosin, M. Zanella
Kinetic derivation of Aw-Rascle-Zhang-type traffic models with driver-assist vehicles
J. Stat. Phys., 186, 17
preprint arXiv:2101.04066

[P2022] G. Dimarco, G. Toscani, M. Zanella
Optimal control of epidemic spreading in the presence of social heterogeneity
Phil. Trans. R. Soc. A, 380, 20210160
preprint arXiv:2107.12180

[P2022] M. Tavelli, W. Boscheri, G. Stradiotti, G. R. Pisaturo, M. Righetti
A mass-conservative semi-implicit volume of fluid method for the Navier-Stokes equations with high order semi-Lagrangian advection scheme
Computers & Fluids, 240, 105443
WP4, WP5

[P2022] W. Boscheri, G. Dimarco
High order modal Discontinuous Galerkin Implicit-Explicit Runge Kutta and Linear Multistep schemes for the Boltzmann model on general polygonal meshes
Computers & Fluids, 233, 105224
preprint arXiv:2107.11101

[P2022] W. Boscheri, S. Chiocchetti, I. Peshkov
A cell-centered implicit-explicit Lagrangian scheme for a unified model of nonlinear continuum mechanics on unstructured meshes
J. Comput. Phys., 451, 110852
preprint arXiv:2107.06038
WP1, WP4

[P2022] G. Albi, M. Herty, D. Kalise, C. Segala
Moment-driven predictive control of mean-field collective dynamics
SIAM J. Control Optim., 60, 814-841
preprint arXiv:2101.01970
WP6, WP7

[P2022] G. Albi, S. Almi, M. Morandotti, F. Solombrino
Mean-field selective optimal control via transient leadership
Appl. Math. Optim., 85, 9
preprint arXiv:2106.07254

[P2022] G. Albi, R. Chignola, F. Ferrarese
Efficient ensemble stochastic algorithms for agent-based models with spatial predator-prey dynamics
Mathematics and Computers in Simulation, 199, 317-340
preprint arXiv:2107.14059
WP6, WP4

[P2022] M. Caliari, F. Cassini, L. Einkemmer, A. Ostermann, F. Zivcovich
A µ-mode integrator for solving evolution equations in Kronecker form
J. Comput. Phys., 455, 110989
preprint arXiv:2103.01691

[P2022] A. Benfenati, G. Borghi, L. Pareschi
Binary interaction methods for high dimensional global optimization and machine learning
Appl. Math. Optim., 86, 9
preprint arXiv:2105.02695

[P2022] W. Boscheri, M. Tavelli, L. Pareschi
On the construction of conservative semi-Lagrangian IMEX advection schemes for multiscale time dependent PDEs
J. Sci. Comput., 90, 97
preprint arXiv:2107.06956
WP1, WP4

[P2022] L. Liu, L. Pareschi, X. Zhu
A bi-fidelity stochastic collocation method for transport equations with diffusive scaling and multi-dimensional random inputs
J. Comput. Phys., 462, 111252
preprint arXiv:2107.09250
WP1, WP9

[P2022] M. Briani, G. Puppo, M. Ribot
Angle dependence in coupling conditions for shallow water equations at canal junctions
Computers & Mathematics with Applications, 108, 49-65
preprint arXiv:2105.01741

[P2022] S. Boscarino, S. Y. Cho, G. Russo, S.-B. Yun
Convergence estimates of a semi-Lagrangian scheme for the ellipsoidal BGK model for polyatomic molecules
ESAIM: M2AN, 56, 893-942
preprint arXiv:2003.00215

[P2022] G. Puppo, M. Semplice, G. Visconti
Quinpi: integrating conservation laws with CWENO implicit methods
Commun. Appl. Math. Comput.
preprint arXiv:2102.00741

[P2022] S. Y. Cho, S. Boscarino, M. Groppi, G. Russo
Conservative semi-Lagrangian schemes for a general consistent BGK model for inert gas mixtures
Commun. Math. Sci., 20, 695-725
preprint arXiv:2102.02497

[P2022] W. Boscheri, R. Loubère, P.-H. Maire
A 3D cell-centered ADER MOOD Finite Volume method for solving updated Lagrangian hyperelasticity on unstructured grids
J. Comput. Phys., 449, 110779
preprint arXiv:2104.02139

[P2022] G. Albi, S. Bicego, D. Kalise
Gradient-augmented supervised learning of optimal feedback laws using state-dependent Riccati equations
IEEE Control Systems Letter, 6, 836-841
preprint arXiv:2103.04091

[P2022] L. Pareschi, T. Trimborn, M. Zanella
Mean-field control variate methods for kinetic equations with uncertainties and applications to socioeconomic sciences
Int. J. Uncertain. Quant., 12, 61-84
preprint arXiv:2102.02589

[P2022] C. Balzotti, M. Briani, B. De Filippo, B. Piccoli
A computational modular approach to evaluate NOx emissions and ozone production due to vehicular traffic
Discrete Contin. Dyn. Syst. Ser. B, 27, 3455-3486
preprint arXiv:1912.05956

[P2022] S. Boscarino, S. Y. Cho (2022)
On the order reduction of semi-Lagrangian methods for BGK model of Boltzmann equation
Appl. Math. Lett., 123, 107488

[P2021] P. Tsoutsanis, M. Dumbser
Arbitrary high order central non-oscillatory schemes on mixed-element unstructured meshes
Computers and Fluids, 225, 104961

[P2021] L. Río-Martín, S. Busto, M. Dumbser
A massively parallel hybrid Finite Volume/Finite Element scheme for computational fluid dynamics
Mathematics, 9, 2316

[P2021] S. Busto, M. Dumbser, L. Río-Martín
Staggered semi-implicit hybrid Finite Volume/Finite Element schemes for turbulent and non-Newtonian flows
Mathematics, 9, 2972

[P2021] E. Gaburro, M. J. Castro, M. Dumbser
A well balanced finite volume scheme for general relativity
SIAM J. Sci. Comput., 43, B1226-B1251

[P2021] G. Bretti, L. Gosse, N. Vauchelet
Diffusive limits of 2D well-balanced schemes for kinetic models of neutron transport
ESAIM: M2AN, 55, 2949-2980

[P2021] E. Cristiani, M. Menci, M. Papi, L. Brafman
An all-leader agent-based model for turning and flocking birds
J. Math. Biol., 83, 45
preprint arXiv:2010.01990

[P2021] C. D. Hauck, M. Herty, G. Visconti
Qualitative properties of mathematical model for data flow
Netw. Heterog. Media, 16, 513-533
preprint arXiv:1910.10117

[P2021] S. Boscarino, S. Y. Cho, M. Groppi, G. Russo
BGK models for inert mixtures: Comparison and applications
Kinet. Relat. Models, 14, 895-928
preprint arXiv:2102.12757

[P2021] M. Zanella, C. Bardelli, G. Dimarco, S. Deandrea, P. Perotti, M. Azzi, S. Figini, G. Toscani
A data-driven epidemic model with social structure for understanding the COVID-19 infection on a heavily affected Italian province
Mathematical Models and Methods in Applied Sciences, 31, 2533-2570
preprint arXiv:2103.06027

[P2021] W. Boscheri, G. Dimarco
High order finite volume schemes with IMEX time stepping for the Boltzmann model on unstructured meshes
Computer Methods in Applied Mechanics and Engineering, 387, 114180
preprint arXiv:2103.14890

[P2021] G. Albi, F. Ferrarese, C. Segala
Optimized leaders strategies for crowd evacuation in unknown environments with multiple exits
L. Gibelli (ed), Crowd Dynamics, Volume 3. Modeling and Simulation in Science, Engineering and Technology. Birkhäuser, Cham
preprint arXiv:2108.12231

[P2021] G. Bertaglia, L. Pareschi
Hyperbolic compartmental models for epidemic spread on networks with uncertain data: Application to the emergence of COVID-19 in Italy
Math. Mod. Meth. Appl. Sci., 31, 2495-2531
preprint arXiv:2105.14258
WP1, WP6, WP9

[P2021] M. Herty, G. Puppo, G. Visconti (2021)
From kinetic to macroscopic models and back*
In: G. Puppo, A. Tosin, Eds., Mathematical Descriptions of Traffic Flow: Micro, Macro and Kinetic Models
SEMA SIMAI Springer Series, Volume 12, pages 17-34, Springer
preprint arXiv:2002.02802

[P2021] R. Ferretti, A. Sassi, H. Zidani (2021)
Error estimates for numerical approximation of Hamilton–Jacobi equations related to hybrid control systems
Appl. Math. Optim., 83, 139-175
preprint hal

[P2021] A. Pesare, M. Palladino, M. Falcone (2021)
Convergence results for an averaged LQR problem with applications to reinforcement learning
Mathematics of Control, Signals, and Systems, 33, 379-411

[P2021] X. Gong, B. Piccoli, G. Visconti (2021)
Mean-field of optimal control problems for hybrid model of multilane traffic*
IEEE Control Systems Letters, 5, 1964-1969
WP6, WP7

[P2021] X. Cai, S. Boscarino, J.-M. Qiu (2021)
High order semi-Lagrangian discontinuous Galerkin method coupled with Runge-Kutta exponential integrators for nonlinear Vlasov dynamics*
J. Comput. Phys., 427, 110036
preprint arXiv:1911.12229

[P2021] I. Gómez-Bueno, M. J. C. Díaz, C. Parés, G. Russo (2021)
Collocation methods for high-order well-balanced methods for systems of balance laws
Mathematics, 9, 1799

[P2021] G. Dimarco, B. Perthame, G. Toscani, M. Zanella (2021)
Kinetic models for epidemic dynamics with social heterogeneity
J. Math. Biol., 83, 4
preprint arXiv:2009.01140

[P2021] I. Peshkov, M. Dumbser, W. Boscheri, E. Romenski, S. Chiocchetti, M. Ioriatti (2021)
Simulation of non-Newtonian viscoplastic flows with a unified first order hyperbolic model and a structure-preserving semi-implicit scheme
Computers & Fluids, 224, 104963
preprint arXiv:2012.07656

[P2021] S. Busto, M. Dumbser, S. Gavrilyuk, K. Ivanova (2021)
On thermodynamically compatible finite volume methods and path-conservative ADER discontinuous Galerkin schemes for turbulent shallow water flows
J. Sci. Comput., 88, 28

[P2021] A.-A. Gabriel, D. Li, S. Chiocchetti, M. Tavelli, I. Peshkov, E. Romenski, M. Dumbser (2021)
A unified first-order hyperbolic model for nonlinear dynamic rupture processes in diffuse fracture zones
Phil. Trans. R. Soc. A, 379, 20200130
preprint arXiv:2007.01026

[P2021] S. Busto, L. Río-Martín, M. E. Vázquez-Cendón, M. Dumbser (2021)
A semi-implicit hybrid finite volume/finite element scheme for all Mach number flows on staggered unstructured meshes
Appl. Math. Comput., 402, 126117

[P2021] S. Busto, M. Dumbser, C. Escalante, N. Favrie, S. Gavrilyuk (2021)
On high order ADER discontinuous Galerkin schemes for first order hyperbolic reformulations of nonlinear dispersive systems
J. Sci. Comput., 87, 48

[P2021] E. Gaburro, M. Dumbser (2021)
A posteriori subcell finite volume limiter for general P_N P_M schemes: applications from gasdynamics to relativistic magnetohydrodynamics
J. Sci. Comput., 86, 37

[P2021] S. Chiocchetti, I. Peshkov, S. Gavrilyuk, M. Dumbser (2021)
High order ADER schemes and GLM curl cleaning for a first order hyperbolic formulation of compressible flow with surface tension
J. Comput. Phys., 426, 109898

[P2021] W. Boscheri, M. Dumbser, M. Ioriatti, I. Peshkov, E. Romenski (2021)
A structure-preserving staggered semi-implicit finite volume scheme for continuum mechanics
J. Comput. Phys., 424, 109866
preprint arXiv:2005.04296

[P2021] F. A. Chiarello, B. Piccoli, A. Tosin (2021)
A statistical mechanics approach to macroscopic limits of car-following traffic dynamics
Internat. J. Non-Linear Mech., 137, 103806
preprint arXiv:2106.15863

[P2021] G. Albi, L. Pareschi, M. Zanella (2021)
Modelling lockdown measures in epidemic outbreaks using selective socio-economic containment with uncertainty
Math. Biosci. Engin., 18, 7161-7190
WP7, WP9

[P2021] L. Pareschi, T. Rey (2021)
On the stability of equilibrium preserving spectral methods for the homogeneous Boltzmann equation
App. Math. Letters, 120, 107187
preprint arXiv:2011.05811

[P2021] S. Grassi, L. Pareschi (2021)
From particle swarm optimization to consensus based optimization: Stochastic modeling and mean-field limit
Math. Mod. Meth. App. Sci., 31, 1625-1657
preprint arXiv:2012.05613

[P2021] W. Boscheri, G. Dimarco, L. Pareschi (2021)
Modeling and simulating the spatial spread of an epidemic through multiscale kinetic transport equations
Math. Mod. Meth. Appl. Sci., 31, 1059-1097
preprint arXiv:2012.10101
WP1, WP6

[P2021] G. Bertaglia, W. Boscheri, G. Dimarco, L. Pareschi (2021)
Spatial spread of COVID-19 outbreak in Italy using multiscale kinetic transport equations with uncertainty
Math. Biosci. Engin., 18, 7028-7059
preprint arXiv:2106.07262
WP1, WP6, WP9

[P2021] M. Briani, E. Cristiani, P. Ranut (2021)
Macroscopic and multi-scale models for multi-class vehicular dynamics with uneven space occupancy: A case study
Axioms, 10, 102.

[P2021] S.-Y. Cho, S. Boscarino, G. Russo, S.-B. Yun (2021)
Conservative semi-Lagrangian schemes for kinetic equations Part I: Reconstruction
Journal of Computational Physics, 432, 110159
preprint arXiv:2007.13167
WP1, WP4

[P2021] S.-Y. Cho, S. Boscarino, G. Russo, S.-B. Yun (2021)
Conservative semi-Lagrangian schemes for kinetic equations Part II: Applications
Journal of Computational Physics, 436, 110281
preprint arXiv:2007.13166
WP1, WP4

 [P2021] H. Carrillo, E. Macca, C. Parés, G. Russo, D. Zorío (2021)
An order-adaptive compact approximation Taylor method for systems of conservation laws
Journal of Computational Physics, 438, 110358
preprint arXiv:2007.01416

[P2021] M. Caliari, S. Zuccher (2021)
A fast time splitting finite difference approach to Gross-Pitaevskii equations
Commun. Comput. Phys., 29, 1336-1364

[P2021] M. Caliari, L. Einkemmer, A. Moriggl, A. Ostermann (2021)
An accurate and time-parallel rational exponential integrator for hyperbolic and oscillatory PDEs
Journal of Computational Physics, 437, 110289
preprint arXiv:2008.11607

[P2021] G. Albi, L. Pareschi, M. Zanella (2021)
Control with uncertain data of socially structured compartmental epidemic models
J. Math. Biol., 82, 63
preprint arXiv:2004.13067
WP7, WP9

[P2021] G. Albi, L. Pareschi (2021)
High order semi-implicit multistep methods for time-dependent partial differential equations
Commun. Appl. Math. Comput.
preprint arXiv:2001.03974

[P2021] L. Pareschi (2021)
An introduction to uncertainty quantification for kinetic equations and related problems
In G. Albi, S. Merino-Aceituno, A. Nota, M. Zanella, Eds., Trails in Kinetic Theory: Foundational Aspects and Numerical Methods
SEMA SIMAI Springer Series, Volume 25, pages 141-181, Springer
preprint arXiv:2004.05072

[P2021] A. Tosin, M. Zanella (2021)
Boltzmann-type description with cutoff of Follow-the-Leader traffic models
In G. Albi, S. Merino-Aceituno, A. Nota, M. Zanella, Eds., Trails in Kinetic Theory: Foundational Aspects and Numerical Methods
SEMA SIMAI Springer Series, Volume 25, pages 227-251, Springer
preprint arXiv:1912.07417

[P2021] M. Herty, A. Tosin, G. Visconti, M. Zanella (2021)
Reconstruction of traffic speed distributions from kinetic models with uncertainties
In G. Puppo, A. Tosin, Eds., Mathematical Descriptions of Traffic Flow: Micro, Macro and Kinetic Models
ICIAM2019 SEMA SIMAI Springer Series, Volume 12, pages 1-16, Springer
WP6, WP9

[P2021] G. Bretti, L. Gosse (2021)
Diffusive limit of a two-dimensional well-balanced approximation to a kinetic model of chemotaxis
Partial Differ. Equ. Appl., 2, 31

[P2021] G. Bretti, L. Gosse, N. Vauchelet (2021)
L-splines as diffusive limits of dissipative kinetic models
Vietnam J. Math., 49, 651-671

[P2021] L. Gosse (2021)
Diffusive limit of a two-dimensional well-balanced scheme for the free Klein-Kramers equation
Multiscale Modeling and Simulation, 19, 568-587

[P2021] L. Bonaventura, E. Calzola, E. Carlini, R. Ferretti (2021)
Second order fully semi-Lagrangian discretizations of advection-diffusion-reaction systems
J. Sci. Comput., 88, 23
preprint arXiv:2002.04381

[P2021] G. Bertaglia, V. Caleffi, L. Pareschi, A. Valiani (2021)
Uncertainty quantification of viscoelastic parameters in arterial hemodynamics with the a-FSI blood flow model
J. Comp. Phys., 430, 110102
preprint arXiv:2007.01907
WP5, WP9

[P2021] G. Bertaglia, L. Pareschi (2021)
Hyperbolic models for the spread of epidemics on networks: kinetic description and numerical methods
ESAIM: M2AN, 55, 381-407
preprint arXiv:2007.04019

[P2021] W. Boscheri, L. Pareschi (2021)
High order pressure-based semi-implicit IMEX schemes for the 3D Navier-Stokes equations at all Mach numbers
J. Comp. Phys., 434, 110206
preprint arXiv:2008.01789

[P2021] J. Hu, L. Pareschi, Y. Wang (2021)
Uncertainty quantification for the BGK model of the Boltzmann equation using multilevel variance reduced Monte Carlo methods
SIAM/ASA J. Uncertainty Quantification, 9, 650-680
preprint arXiv:2004.07638

[P2021] A. Tosin, M. Zanella (2021)
Uncertainty damping in kinetic traffic models by driver-assist controls
Math. Control Relat. Fields, 11, 681-713

[P2021] D. Peri (2021)
A recursive implementation of the ALIENOR optimization method
International Journal of Intelligent Computing and Cybernetics, 14, 81-103

[P2021] S. Boscarino, S.-Y. Cho, G. Russo, S.-B. Yun (2021)
High order conservative semi-Lagrangian scheme for the BGK model of the Boltzmann equation*
Commun. Comput. Phys., 29, 1-56
preprint arXiv:1905.03660

[P2021] P. Centorrino, A. Corbetta, E. Cristiani, E. Onofri (2021)
Managing crowded museums: visitors flow measurement, analysis, modeling, and optimization
Journal of Computational Science, 53, 101357
preprint arXiv:2006.16830

[P2020] T. Trimborn, S. Gerster, G. Visconti (2020)
Spectral methods to study the robustness of residual neural networks with infinite layers*
Foundations of Data Science, 2, 257-278

[P2020] A. Alla, M. Falcone, L. Saluzzi (2020)
A tree structure algorithm for optimal control problems with state constraints
Rendiconti di Matematica e delle Sue Applicazioni, 41, 193-221

[P2020] S. Jin, L. Liu, G. Russo, Z. Zhou (2020)
Gaussian wave packet transform based numerical scheme for the semi-classical Schrödinger equation with random inputs
J. Comput. Phys., 401, 109015
preprint arXiv:1903.08740

[P2020] A. Crestetto, N. Crouseilles, G. Dimarco, M. Lemou (2020)
A new deviational asymptotic preserving Monte Carlo method for the homogeneous Boltzmann equation
Commun. Math. Sci., 18, 2305–2339
preprint hal

[P2020] G. Dimarco, G. Toscani (2020)
Social climbing and Amoroso distribution
Math. Models Methods Appl. Sci., 30, 2229–2262
preprint arXiv:2006.02942

[P2020] M. Tavelli, S. Chiocchetti, E. Romenski, A.-A. Gabriel, M. Dumbser (2020)
Space-time adaptive ADER discontinuous Galerkin schemes for nonlinear hyperelasticity with material failure
J. Comput. Phys., 422, 109758
preprint arXiv:2003.02760

[P2020] M. Fornasier, H. Huang, L. Pareschi, P. Sünnen (2020)
Consensus-based optimization on hypersurfaces: well-posedness and mean-field limit
Math. Models Methods Appl. Sci., 30, 2725-2751
preprint arXiv:2001.11994

[P2020] L. Pareschi, M. Zanella (2020)
Monte Carlo stochastic Galerkin methods for the Boltzmann equation with uncertainties: Space-homogeneous case
J. Comp. Phys., 423, 109822
preprint arXiv:2003.06716

[P2020] N. Loy, A. Tosin (2020)
Markov jump processes and collision-like models in the kinetic description of multi-agent systems
Commun. Math. Sci.18, 1539-1568

[P2020] E. Carlini, A. Festa, N. Forcadel (2020)
A semi-Lagrangian scheme for Hamilton-Jacobi equations on networks*
SIAM J. Numer. Anal., 58, 3165-3196
preprint arXiv:1804.09429 (sic)

[P2020] G. Albi, E. Cristiani, L. Pareschi, D. Peri (2020)
Mathematical models and methods for crowd dynamics control
In: Gibelli L. (ed) Crowd Dynamics, Volume 2. Modeling and Simulation in Science, Engineering and Technology. Birkhäuser, Cham, pp. 159-197
preprint arXiv:1912.11628

[P2020] E. Abbate, A. Iollo, G. Puppo (2020)
An implicit scheme for moving walls and multi-material interfaces in weakly compressible materials*
Commun. Comput. Phys., 27, 116-144

[P2020] G. Albi, G. Dimarco, L. Pareschi (2020)
Implicit-explicit multistep methods for hyperbolic systems with multiscale relaxation
SIAM J. Sci. Comput.
, 42, A2402–A2435
preprint arXiv:1904.03865

[P2020] A. Alla, C. Balzotti, M. Briani, E. Cristiani (2020)
Understanding mass transfer directions via data-driven models with application to mobile phone data
SIAM J. Appl. Dyn. Syst., 19, 1372-1391
preprint arXiv:1902.09287

[P2020] D. S. Balsara, S. Garain, V. Florinski, W. Boscheri (2020)
An efficient class of WENO schemes with adaptive order for unstructured meshes*
J. Comput. Phys.
, 404, 109062

[P2020] C. Bassi, S. Busto, M. Dumbser (2020)
High order ADER-DG schemes for the simulation of linear seismic waves induced by nonlinear dispersive free-surface water waves
Applied Numerical Mathematics, 158, 236-263
preprint arXiv:2004.03257
WP1, WP5

[P2020] A. Bermúdez, S. Busto, M. Dumbser, J. L. Ferrín, L. Saavedra, M. E. Vázquez-Cendón (2020)
A staggered semi-implicit hybrid FV/FE projection method for weakly compressible flows
Journal of Computational Physics, 421, 109743
preprint arXiv:1802.10585

[P2020] G. Bertaglia, V. Caleffi, A. Valiani (2020)
Modeling blood flow in viscoelastic vessels: the 1D augmented fluid-structure interaction system
Comput. Methods Appl. Mech. Engrg., 360, 112772
preprint arXiv:1912.03167

[P2020] L. Bonaventura, E. Calzola, E. Carlini, R. Ferretti (2020)
A fully semi-Lagrangian method for the Navier–Stokes equations in primitive variables*
In: H. van Brummelen, A. Corsini, S. Perotto, G. Rozza (eds.), Numerical Methods for Flows,
Lecture Notes in Computational Science and Engineering, vol 132. Springer, Cham

[P2020] W. Boscheri (2020)
A space-time semi-Lagrangian advection scheme on staggered Voronoi meshes applied to free surface flows*
Computers and Fluids, 202, 104503

[P2020] W. Boscheri, G. Dimarco (2020)
High order central WENO-Implicit-Explicit Runge Kutta schemes for the BGK model on general polygonal meshes
J. Comput. Phys., 422, 109766.

[P2020] W. Boscheri, G. Dimarco, R. Loubère, M. Tavelli, M.-H. Vignal (2020)
A second order all Mach number IMEX finite volume solver for the three dimensional Euler equations
J. Comput. Phys., 415, 109486

[P2020] S. Busto, S. Chiocchetti, M. Dumbser, E. Gaburro, I. Peshkov (2020)
High order ADER schemes for continuum mechanics
Front. Phys., 8, article no. 32
preprint arXiv:1912.01964

[P2020] S. Busto, M. Tavelli, W. Boscheri, M. Dumbser (2020)
Efficient high order accurate staggered semi-implicit discontinuous Galerkin methods for natural convection problems
Computers and Fluids, 198, 104399
preprint arXiv:1906.01460

[P2020] S. Cacace, R. Ferretti, A. Festa (2020)
Stochastic hybrid differential games and match race problems*
Applied Mathematics and Computation, 372, 124966
preprint arXiv:1906.10968

[P2020] M. Caliari, F. Cassini, F. Zivcovich (2020)
Approximation of the matrix exponential for matrices with a skinny fields of values*
BIT Numer. Math., published online: 15 May 2020

[P2020] G. Dimarco, L. Pareschi (2020)
Multiscale variance reduction methods based on multiple control variates for kinetic equations with uncertainties*
Multiscale Model. Simul., 18, 351-382
preprint arXiv:1812.05485

[P2020] G. Dimarco, L. Pareschi, G. Toscani, M. Zanella (2020)
Wealth distribution under the spread of infectious diseases
Phys. Rev. E, 102, 022303
preprint arXiv:2004.13620

[P2020] G. Dimarco, A. Tosin (2020)
The Aw-Rascle traffic model: Enskog-type kinetic derivation and generalisations
J. Stat. Phys., 178, 178-210
preprint arXiv:1906.10665

[P2020] M. Dumbser, F. Fambri, E. Gaburro, A. Reinarz (2020)
On GLM curl cleaning for a first order reduction of the CCZ4 formulation of the Einstein field equations
Journal of Computational Physics, 404, 109088
preprint arXiv:1909.03455

[P2020] M. Falcone, S. Finzi Vita (2020)
A new mathematical model for traveling sand dunes: analysis and approximation*
Applied Numerical Mathematics, 155, 208-225

[P2020] M. Falcone, G. Paolucci, S. Tozza (2020)
Convergence of adaptive filtered schemes for first order evolutionary Hamilton-Jacobi equations*
Numerische Mathematik, 145, 271-311
preprint arXiv:1812.02140

[P2020] M. Falcone, G. Paolucci, S. Tozza (2020)
Multidimensional smoothness indicators for first-order Hamilton-Jacobi equations
Journal of Computational Physics, 409, 109360
preprint arXiv:2002.10787

[P2020] M. Falcone, G. Paolucci, S. Tozza (2020),
A high-order scheme for image segmentation via a modified level-set method*
SIAM Journal on Imaging Sciences, 13, 497-534
preprint arXiv:1812.03026

[P2020] R. Ferretti, M. Mehrenberger (2020)
Stability of semi-Lagrangian schemes of arbitrary odd degree under constant and variable advection speed*
Math. Comp., 89, 1783-1805

[P2020] E. Gaburro, W. Boscheri, S. Chiocchetti, C. Klingenberg, V. Springel, M. Dumbser (2020)
High order direct Arbitrary-Lagrangian-Eulerian schemes on moving Voronoi meshes with topology changes
Journal of Computational Physics, 407, 109167
preprint arXiv:1905.00967

[P2020] L. Gosse (2020)
Aliasing and two-dimensional well-balanced for drift-diffusion equations on square grids
Math. Comp., 89, 139-168

[P2020] L. Gosse, N. Vauchelet (2020)
A truly two-dimensional, asymptotic-preserving scheme for a discrete model of radiative transfer
SIAM J. Numer. Anal., 58, 1092-1116

[P2020] F. Kemma, E. Gaburro, F. Thein, M. Dumbser (2020)
A simple diffuse interface approach for compressible flows around moving solids of arbitrary shape based on a reduced Baer–Nunziato model
Computers and Fluids, 204, 104536
preprint arXiv:2001.10326

[P2020] M. Ioriatti, M. Dumbser, R. Loubère (2020)
A staggered semi-implicit Discontinuous Galerkin scheme with a posteriori subcell finite volume limiter for the Euler equations of gasdynamics
Journal of Scientific Computing, 83, article no. 27

[P2020] D. Peri (2020)
Direct tracking of the Pareto front of a multi-objective optimization problem
J. Mar. Sci. Eng., 8(9), 699

[P2020] D. Peri, M. Deville, C. Poignard, E. Signori, R. Natalini (2020)
Numerical optimization of plasmid DNA delivery combined with hyaluronidase injection for electroporation protocol
Computers Methods and Programs in Biomedicine, 186, 105204
preprint arXiv:1907.11055

[P2020] B. Piccoli, A. Tosin, M. Zanella (2020)
Model-based assessment of the impact of driver-assist vehicles using kinetic theory
Z. Angew. Math. Phys., 71, n.152

[P2020] A. Thomann, G. Puppo, C. Klingenberg (2020)
An all speed second order well-balanced IMEX relaxation scheme for the Euler equations with gravity*
Journal of Computational Physics, 420, 109723
preprint arXiv:1912.09577
WP2, WP3

[P2020] A. Thomann, M. Zenk, G. Puppo, C. Klingenberg (2020)
An all speed second order IMEX relaxation scheme for the Euler equations*
Commun. Comput. Phys., 28, 591-620
preprint arXiv:1907.08398

[P2020] S. Tiwari, A. Klar, G. Russo (2020)
Interaction of rigid body motion and rarefied gas dynamics based on the BGK model
Mathematics in Engineering, 2, 203-229

[P2020] G. Toscani, A. Tosin, M. Zanella (2020)
Kinetic modelling of multiple interactions in socio-economic systems
Netw. Heterog. Media15, 519-542

[P2019] E. Abbate, A. Iollo, G. Puppo (2019)
An asymptotic-preserving all-speed scheme for fluid dynamics and nonlinear elasticity*
SIAM J. Sci. Comput., 41, A2850-A2879

[P2019] G. Albi, N. Bellomo, L. Fermo, S.-Y. Ha, J. Kim, L. Pareschi, D. Poyato, J. Soler (2019)
Vehicular traffic, crowds, and swarms: from kinetic theory and multiscale methods to applications and research perspectives*
Math. Models Methods Appl. Sci., 29, 1901-2005

[P2019] G.Albi, M. Herty, L. Pareschi (2019)
Linear multistep methods for optimal control problems and applications to hyperbolic relaxation systems*
Applied Mathematics and Computation, 354, 460-477
preprint arXiv:1807.08547
WP1, WP7

[P2019] G. Albi, L. Pareschi, M. Zanella (2019)
Boltzmann games in heterogeneous consensus dynamics*
J. Stat. Phys., 175, 97-125
preprint arXiv:1712.03224

[P2019] A. Alla, M. Falcone, L. Saluzzi (2019)
High-order approximation of the finite horizon control problem via a tree structure algorithm
IFAC-PapersOnLine, 52, 19-24

[P2019] A. Alla, M. Falcone, L. Saluzzi (2019)
An efficient DP algorithm on a tree-structure for finite horizon optimal control problems*
SIAM Journal on Scientific Computing, 41, A2384-A2406
preprint arXiv:1807.11008

[P2019] R. Bianchini, L. Gosse, E. Zuazua (2019)
A two-dimensional "flea on the elephant'' phenomenon and its numerical visualization*
Multiscale Model. Simul., 17, 137-166

[P2019] S. Boscarino, J.-M. Qiu, G. Russo, T. Xiong (2019)
A high order semi-implicit IMEX WENO scheme for the all-Mach isentropic Euler system*
Journal of Computational Physics, 392, 594-618

[P2019] W. Boscheri, D. S. Balsara (2019)
High order direct Arbitrary-Lagrangian-Eulerian (ALE) P_N P_M schemes with WENO Adaptive-Order reconstruction on unstructured meshes*
J. Comput. Phys., 398, 108899

[P2019] W. Boscheri, M. Dumbser, M. Righetti (2019)
FORCE schemes on moving unstructured meshes for hyperbolic systems*
Comput. Math. Appl., 78, 362-380

[P2019] W. Boscheri, G. R. Pisaturo, M. Righetti (2019)
High-order divergence-free velocity reconstruction for free surface flows on unstructured Voronoi meshes*
Int. J. Numer. Meth. Fluids, 90, 296-321
WP2, WP5

[P2019] W. Boscheri, M. Semplice, M. Dumbser (2019)
Central WENO subcell finite volume limiters for ADER discontinuous Galerkin schemes on fixed and moving unstructured meshes*
Commun. Comput. Phys., 25, 311-346

[P2019] S. Cacace, F. Camilli, R. De Maio, A. Tosin (2019)
A measure theoretic approach to traffic flow optimisation on networks*
European J. Appl. Math.
, 30, 1187-1209
preprint arXiv:1803.00953

[P2019] M. Caliari, F. Zivcovich (2019)
On-the-fly backward error estimate for matrix exponential approximation by Taylor algorithm*
J. Comput. Appl. Math., 346, 532-548

[P2019] E. Carlini, M. Falcone, R.Ferretti (2019)
Numerical techniques for level set models: an image segmentation perspective*
In: A. El-Baz, J. S. Suri (eds.), Level Set Method in Medical Imaging Segmentation, Chapter 6, Taylor and Francis

[P2019] J. A. Carrillo, Y.-P. Choi, L. Pareschi (2019)
Structure preserving schemes for the continuum Kuramoto model: phase transitions*
J. Comput. Phys., 376, 365-389

[P2019] J. A. Carrillo, L. Pareschi, M. Zanella (2019)
Particle based gPC methods for mean-field models of swarming with uncertainty*
Commun. Comput. Phys., 25, 508-531
WP6, WP9

[P2019] A. Crestetto, N. Crouseilles, G. Dimarco, M. Lemou (2019)
Asymptotically complexity diminishing schemes (ACDS) for kinetic equations in the diffusive scaling*
Journal of Computational Physics, 394, 243-262

[P2019] E. Cristiani, E. Iacomini (2019)
An interface-free multi-scale multi-order model for traffic flow*
Discrete Contin. Dyn. Syst. Ser. B, 24, 6189-6207
preprint arXiv:1805.08668

[P2019] E. Cristiani, D. Peri (2019)
Robust design optimization for egressing pedestrians in unknown environments
Appl. Math. Model., 72, 553-568
preprint arXiv:1904.05336

[P2019] E. Cristiani, M. C. Saladino (2019)
Comparing comparisons between vehicular traffic states in microscopic and macroscopic first-order models*
Math. Meth. Appl. Sci., 42, 918-934
preprint arXiv:1803.05735

[P2019] G. Dimarco, C. Hauck, R. Loubère (2019)
A class of low dissipative schemes for solving kinetic equations*
J. Sci. Comput., 78, 393-432

[P2019] G. Dimarco, L. Pareschi (2019)
Multi-scale control variate methods for uncertainty quantification in kinetic equations*
J. Comput. Phys., 388, 63-89

[P2019] G. Dimarco, G. Toscani (2019)
Kinetic modeling of alcohol consumption*
J. Stat. Phys., 177, 1022-1042

[P2019] C. Escalante, M. Dumbser, M. J. Castro (2019)
An efficient hyperbolic relaxation system for dispersive non-hydrostatic water waves and its solution with high order discontinuous Galerkin schemes
Journal of Computational Physics, 394, 385-416
WP1, WP5

[P2019] R. Ferretti, A. Festa (2019)
Optimal route planning for sailing boats: a hybrid formulation*
J. Optim. Theory Appl., 181, 1015-1032

[P2019] L. Gosse, N. Vauchelet (2019)
Some examples of kinetic schemes whose diffusion limit is Il'in's exponential-fitting*
Numer. Math., 141, 627-680
preprint arXiv:1709.06891

[P2019] M. Haghani, E. Cristiani, N. W. F. Bode, M. Boltes, A. Corbetta (2019)
Panic, irrationality, and herding: Three ambiguous terms in crowd dynamics research
J. Adv. Transport., 2019, 9267643

[P2019] M. Herty, L. Pareschi, S. Steffensen (2019)
Control strategies for the dynamics of large particle systems*
In: N. Bellomo, P. Degond, E. Tadmor (eds.), Active Particles, Volume 2,
Modeling and Simulation in Science, Engineering and Technology, Birkhäuser, Cham

[P2019] C. Klingenberg, M. Pirner, G. Puppo (2019)
A consistent kinetic model for a two-component mixture of polyatomic molecules*
Communications in Mathematical Sciences, 17, 149-173
preprint arXiv:1806.11486

[P2019] C. Klingenberg, G. Puppo, M. Semplice (2019)
Arbitrary order finite volume well-balanced schemes for the Euler equations with gravity*
SIAM J. Sci. Comput., 41, A695-A721
preprint arXiv:1807.02341

[P2019] L. Pareschi, G. Toscani, A. Tosin, M. Zanella (2019)
Hydrodynamic models of preference formation in multi-agent societies
J. Nonlinear Sci., 29, 2761-2796
preprint arXiv:1901.00486

[P2019] D. Peri (2019)
Hybridization of the imperialist competitive algorithm and local search with application to ship design optimization
Computers and Industrial Engineering, 137, 106069

[P2019] I. Peshkov, W. Boscheri, R. Loubère, E. Romenski, M. Dumbser (2019)
Theoretical and numerical comparison of hyperelastic and hypoelastic formulations for Eulerian non-linear elastoplasticity*
J. Comput. Phys., 387, 481-521

[P2019] I. Peshkov, E. Romenski, M. Dumbser (2019)
Continuum mechanics with torsion
Continuum Mech. Thermodyn., 31, 1517-1541
preprint arXiv:1810.03761

[P2019] R. M. Pidatella, G. Puppo, G. Russo, P. Santagati (2019)
Semi-conservative finite volume schemes for conservation laws*
SIAM J. Sci. Comput., 41, B576-B600

[P2019] G. Puppo (2019)
Kinetic models of BGK type and their numerical integration
Riv. Mat. Univ. Parma, 10, 299-349
preprint arXiv:1902.08311

[P2019] M. Tavelli, W. Boscheri (2019)
A high-order parallel Eulerian-Lagrangian algorithm for advection-diffusion problems on unstructured meshes*
Internat. J. Numer. Methods Fluids, 91, 332-347

[P2019] S. Tiwari, A. Klar, G. Russo (2019)
A meshfree method for the BGK model for rarefied gas dynamics
Int. J. Adv. Eng. Sci. Appl. Math., 11, 187-197
preprint arXiv:1902.02096

[P2019] G. Toscani, A. Tosin, M. Zanella (2019)
Multiple-interaction kinetic modeling of a virtual-item gambling economy
Phys. Rev. E, 100, 012308/1-16
preprint arXiv:1904.07660

[P2019] A. Tosin, M. Zanella (2019)
Kinetic-controlled hydrodynamics for traffic models with driver-assist vehicles*
Multiscale Model. Simul., 17, 716-749
preprint arXiv:1807.11476

[P2019] T. Trimborn, L. Pareschi, M. Frank (2019)
Portfolio optimization and model predictive control: a kinetic approach*
Discrete Contin. Dyn. Syst. Ser. B, 24, 6209-6238
preprint arXiv:1711.03291

* without explicit acknowledgement to the project