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 modelWP2
[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
WP5
[SBMTD] M. Fornasier, H. Huang, L. Pareschi, P. Sünnen
Anisotropic diffusion in consensus-based optimization on the sphere preprint
arXiv:2104.00420WP7
[SBMTD] L. Pareschi, T. Rey
Moment preserving Fourier-Galerkin spectral methods and application to the Boltzmann equation preprint
arXiv:2105.13158WP3
[SBMTD] D. Peri
Artificial intelligence algorithms in design optimizationWP7
[SBMTD] C. Balzotti, M. Briani, B. Piccoli
Estimate of emissions on
road networks via Generic Second Order Models
preprint
arXiv:2004.11202
WP6
[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
WP6
[P2022] S. Busto, M. Dumbser, I. Peshkov, E. Romenski
On thermodynamically compatible Finite Volume schemes for continuum mechanicsSIAM 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 numbersApplied 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:2104.09189WP4
[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:2107.14081WP6
[P2022] S. Boscarino, S. Y. Cho, G. Russo
A local velocity grid conservative semi-Lagrangian schemes for BGK modelJ. Comput. Phys., 460, 111178
preprint arXiv:2107.08626WP4
[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:2106.02506WP2
[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:2109.05822WP4
[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 vehiclesJ. Stat. Phys., 186, 17
preprint arXiv:2101.04066WP6
[P2022] G. Dimarco, G. Toscani, M. Zanella
Optimal control of epidemic spreading in the presence of social heterogeneityPhil. Trans. R. Soc. A, 380, 20210160
preprint arXiv:2107.12180WP7
[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 schemeComputers & 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
meshesComputers & Fluids, 233, 105224
preprint arXiv:2107.11101WP1
[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:2107.06038WP1, WP4
[P2022] G. Albi, M. Herty, D. Kalise, C. Segala
Moment-driven predictive control of mean-field collective dynamicsSIAM J. Control Optim., 60, 814-841
preprint
arXiv:2101.01970WP6, WP7
[P2022] G. Albi, S. Almi, M. Morandotti, F. Solombrino
Mean-field selective optimal control via transient leadershipAppl. Math. Optim., 85, 9
preprint
arXiv:2106.07254WP7
[P2022] G. Albi, R. Chignola, F. Ferrarese
Efficient ensemble stochastic algorithms for agent-based models with spatial predator-prey dynamicsMathematics and Computers in Simulation, 199, 317-340
preprint
arXiv:2107.14059WP6, 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:2103.01691WP8
[P2022] A. Benfenati, G. Borghi, L. Pareschi
Binary interaction methods for high dimensional global optimization and machine learningAppl. Math. Optim., 86, 9
preprint
arXiv:2105.02695WP7
[P2022] W. Boscheri, M. Tavelli, L. Pareschi
On the construction of conservative semi-Lagrangian IMEX advection schemes for multiscale time dependent PDEsJ. Sci. Comput., 90, 97
preprint
arXiv:2107.06956WP1, 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:2107.09250WP1, 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:2105.01741WP5
[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
WP1
[P2022] G. Puppo, M. Semplice, G. Visconti
Quinpi: integrating conservation laws with CWENO implicit methodsCommun. Appl. Math. Comput.preprint arXiv:2102.00741WP1
[P2022] S. Y. Cho, S. Boscarino, M. Groppi, G. Russo
Conservative semi-Lagrangian schemes for a general consistent BGK model for inert gas mixturesCommun. Math. Sci., 20, 695-725
preprint arXiv:2102.02497WP4
[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:2104.02139WP4
[P2022] G. Albi, S. Bicego, D. Kalise
Gradient-augmented supervised learning of optimal feedback laws using state-dependent Riccati equationsIEEE Control Systems Letter, 6, 836-841
preprint
arXiv:2103.04091WP7
[P2022] L. Pareschi, T. Trimborn, M. Zanella
Mean-field control variate methods for kinetic equations with uncertainties and applications to socioeconomic sciencesInt. J. Uncertain. Quant., 12, 61-84
preprint
arXiv:2102.02589WP9
[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
WP6
[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
WP4
[P2021] P. Tsoutsanis, M. Dumbser
Arbitrary high order central non-oscillatory schemes on mixed-element unstructured meshesComputers and Fluids, 225, 104961
[P2021] L. Río-Martín, S. Busto, M. Dumbser
A massively parallel hybrid Finite Volume/Finite Element scheme for computational fluid dynamicsMathematics, 9, 2316
[P2021] S. Busto, M. Dumbser, L. Río-Martín
Staggered semi-implicit hybrid Finite Volume/Finite Element schemes for turbulent and non-Newtonian flowsMathematics, 9, 2972
[P2021] E. Gaburro, M. J. Castro, M. Dumbser
A well balanced finite volume scheme for general relativitySIAM 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 transportESAIM: M2AN, 55, 2949-2980
preprint
WP3
[P2021] E. Cristiani, M. Menci, M. Papi, L. Brafman
An all-leader agent-based model for turning and flocking birdsJ. Math. Biol., 83, 45
preprint arXiv:2010.01990WP6
[P2021] C. D. Hauck, M. Herty, G. Visconti
Qualitative properties of mathematical model for data flow Netw. Heterog. Media, 16, 513-533
preprint arXiv:1910.10117WP6
[P2021] S. Boscarino, S. Y. Cho, M. Groppi, G. Russo
BGK models for inert mixtures: Comparison and applicationsKinet. Relat. Models, 14, 895-928
preprint arXiv:2102.12757WP4
[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:2103.06027WP7
[P2021] W. Boscheri, G. Dimarco
High order finite volume schemes with IMEX time stepping for the Boltzmann model on unstructured meshesComputer Methods in Applied Mechanics and Engineering, 387, 114180
preprint arXiv:2103.14890WP1
[P2021] G. Albi, F. Ferrarese, C. Segala
Optimized leaders strategies for crowd evacuation in unknown environments with multiple exitsL.
Gibelli (ed), Crowd Dynamics, Volume 3. Modeling and Simulation in
Science, Engineering and Technology. Birkhäuser, Cham
preprint
arXiv:2108.12231WP6
[P2021] G. Bertaglia, L. Pareschi
Hyperbolic
compartmental models for epidemic spread on networks with uncertain
data: Application to the emergence of COVID-19 in ItalyMath. Mod. Meth. Appl. Sci., 31, 2495-2531
preprint
arXiv:2105.14258WP1, 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:2002.02802WP3
[P2021] R. Ferretti, A. Sassi, H. Zidani (2021)
Error estimates for numerical approximation of Hamilton–Jacobi equations related to hybrid control systemsAppl. Math. Optim., 83, 139-175
preprint halWP7
[P2021] A. Pesare, M. Palladino, M. Falcone (2021)
Convergence results for an averaged LQR problem with applications to reinforcement learningMathematics of Control, Signals, and Systems, 33, 379-411
WP7
[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:1911.12229WP4
[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 lawsMathematics, 9, 1799
WP3
[P2021] G. Dimarco, B. Perthame, G. Toscani, M. Zanella (2021)
Kinetic models for epidemic dynamics with social heterogeneityJ. Math. Biol., 83, 4
preprint arXiv:2009.01140WP7
[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 schemeComputers & 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 flowsJ. 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 zonesPhil. 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 meshesAppl. 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 systemsJ. 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 magnetohydrodynamicsJ. 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 tensionJ. 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 mechanicsJ. 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 uncertaintyMath. 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 equationApp. Math. Letters, 120, 107187
preprint arXiv:2011.05811WP3
[P2021] S. Grassi, L. Pareschi (2021)
From particle swarm optimization to consensus based optimization: Stochastic modeling and mean-field limitMath. Mod. Meth. App. Sci., 31, 1625-1657
preprint arXiv:2012.05613WP7
[P2021] W. Boscheri, G. Dimarco, L. Pareschi (2021)
Modeling and simulating the spatial spread of an epidemic through multiscale kinetic transport equationsMath. Mod. Meth. Appl. Sci., 31, 1059-1097
preprint arXiv:2012.10101WP1, 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:2106.07262WP1, 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.
WP6
[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
WP1
[P2021] M. Caliari, S. Zuccher (2021)
A
fast time splitting
finite difference approach to Gross-Pitaevskii equations
Commun.
Comput. Phys., 29, 1336-1364
preprint
WP8
[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
WP8
[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
WP1
[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
WP9
[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
WP6
[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
preprint
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
preprint
WP3
[P2021] G. Bretti, L. Gosse, N. Vauchelet (2021)
L-splines as diffusive limits of dissipative
kinetic models
Vietnam J.
Math., 49, 651-671
preprint
WP1
[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
preprint
WP3
[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
WP4
[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
WP5
[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
WP2
[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
WP9
[P2021] A. Tosin, M. Zanella (2021)
Uncertainty
damping in kinetic traffic models by driver-assist controls
Math.
Control Relat. Fields, 11, 681-713
preprint
WP6
[P2021] D. Peri (2021)
A
recursive implementation of the ALIENOR optimization method
International Journal of
Intelligent Computing and Cybernetics, 14, 81-103
WP7
[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
WP1
[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
WP6
[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
WP9
[P2020] A. Alla, M. Falcone, L. Saluzzi (2020)
A tree structure algorithm for optimal control problems with state constraintsRendiconti di Matematica e delle Sue Applicazioni, 41, 193-221
https://arxiv.org/abs/2009.12384WP7
[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 inputsJ. Comput. Phys., 401, 109015
preprint arXiv:1903.08740WP8
[P2020] A. Crestetto, N. Crouseilles, G. Dimarco, M. Lemou (2020)
A new deviational asymptotic preserving Monte Carlo method for the homogeneous Boltzmann equationCommun. Math. Sci., 18, 2305–2339
preprint halWP1
[P2020] G. Dimarco, G. Toscani (2020)
Social climbing and Amoroso distributionMath. Models Methods Appl. Sci., 30, 2229–2262
preprint arXiv:2006.02942WP6
[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 failureJ. 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
WP7
[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
WP9
[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
preprint
WP6
[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)
WP7
[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
WP6
[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
preprint
WP2
[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
WP1
[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
WP6
[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
WP1
[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
WP2
[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
WP5
[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
WP4
[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
WP5
[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.
WP1
[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
WP2
[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
WP2
[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
WP1
[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
WP7
[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
WP8
[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
WP9
[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
WP7
[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
WP6
[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
WP2
[P2020] M. Falcone, S. Finzi Vita (2020)
A
new mathematical model for traveling sand dunes: analysis and
approximation*
Applied Numerical
Mathematics, 155, 208-225
WP3
[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
WP4
[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
WP4
[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
WP4
[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
preprint
WP4
[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
WP4
[P2020] L. Gosse (2020)
Aliasing
and two-dimensional well-balanced for drift-diffusion equations on
square grids
Math. Comp.,
89, 139-168
preprint
WP3
[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
preprint
WP1
[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
WP7
[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
WP7
[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
WP6
[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
WP2
[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
WP1
[P2020] G. Toscani, A. Tosin, M. Zanella (2020)
Kinetic
modelling of multiple interactions in socio-economic systems
Netw.
Heterog. Media,
15,
519-542
preprint
WP6
[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
preprint
WP2
[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
WP6
[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
WP6
[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
WP7
[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
WP7
[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
preprint
[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
WP2
[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
WP6
[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
WP8
[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
WP4
[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
WP2
[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
WP1
[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
WP6
[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
WP6
[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
WP6
[P2019] G. Dimarco, C. Hauck, R. Loubère (2019)
A
class of low dissipative schemes for solving kinetic equations*
J. Sci. Comput.,
78, 393-432
preprint
WP1
[P2019] G. Dimarco, L. Pareschi (2019)
Multi-scale
control variate methods for uncertainty quantification in kinetic equations*
J. Comput. Phys.,
388, 63-89
WP9
[P2019] G. Dimarco, G. Toscani (2019)
Kinetic
modeling of alcohol consumption*
J. Stat. Phys.,
177, 1022-1042
preprint
WP6
[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
WP7
[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
WP1
[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
WP6
[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
WP7
[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
WP1
[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
WP3
[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
WP6
[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
WP7
[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
WP2
[P2019] I. Peshkov, E. Romenski, M. Dumbser (2019)
Continuum mechanics with torsion
Continuum Mech. Thermodyn.,
31, 1517-1541
preprint
arXiv:1810.03761
WP2
[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
WP1
[P2019] G. Puppo (2019)
Kinetic models of BGK type and their
numerical integration
Riv. Mat. Univ. Parma,
10, 299-349
preprint
arXiv:1902.08311
WP1
[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
WP4
[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
WP1
[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
WP7
[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
WP6
[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
WP7
* without explicit acknowledgement to the project