## Pareschi, Lorenzo

Compute Distance To:
 Author ID: pareschi.lorenzo Published as: Pareschi, Lorenzo; Pareschi, L. External Links: MGP · Wikidata · GND · IdRef
 Documents Indexed: 146 Publications since 1991, including 1 Book 7 Contributions as Editor Co-Authors: 78 Co-Authors with 147 Joint Publications 2,812 Co-Co-Authors
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### Co-Authors

 6 single-authored 23 Toscani, Giuseppe 20 Russo, Giovanni 17 Dimarco, Giacomo 14 Albi, Giacomo 12 Herty, Michael Matthias 12 Zanella, Mattia 9 Gabetta, Ester 8 Naldi, Giovanni 7 Jin, Shi 6 Seaïd, Mohammed 5 Boscarino, Sebastiano 5 Filbet, Francis 5 Rey, Thomas 4 Carrillo de la Plata, José Antonio 4 Klar, Axel 4 Mouhot, Clément 4 Steffensen, Sonja 3 Bertaglia, Giulia 3 Boscheri, Walter 3 Caflisch, Russel E. 3 Cordier, Stéphane 3 Hu, Jingwei 2 Ascenzi, Oscar 2 Banda, Mapundi Kondwani 2 Bobylev, Alexandre Vasiljévitch 2 Degond, Pierre 2 Ferrari, Elisa 2 Fornasier, Massimo 2 Frank, Martin 2 Ha, Seung-Yeal 2 Huang, Hui 2 Li, Qin 2 Lu, Hanqing 2 Markowich, Peter Alexander 2 Piatecki, Cyrille 2 Segala, Fausto 2 Sünnen, Philippe 2 Trazzi, Stefano 2 Wennberg, Bernt 1 Bao, Weizhu 1 Bellomo, Nicola 1 Benfenati, Alessandro 1 Boccabella, Astridh 1 Borghi, Giacomo 1 Brull, Stephane 1 Caleffi, Valerio 1 Carrillo Antonio, José 1 Choi, Young-Pil 1 Comincioli, Valeriano 1 Fermo, Luisa 1 Grassi, Sara 1 Izzo, Giuseppe 1 Jörres, Christian 1 Kashdan, Eugene 1 Liu, Liu 1 Maldarella, Dario 1 Mantas Ruiz, José Miguel 1 Natalini, Roberto 1 Ortega Lopera, Julio 1 Perthame, Benoît 1 Piccoli, Benedetto 1 Poyato, David 1 Puppo, Gabriella 1 Rispoli, Vittorio 1 Ronconi, M. Cristina 1 Samaey, Giovanni 1 Shu, Chi-Wang 1 Slemrod, Marshall 1 Soler, Juan S. 1 Tavelli, Maurizio 1 Tosin, Andrea 1 Trimborn, Torsten 1 Valiani, Alessandro 1 Vellucci, Pierluigi 1 Villani, Cédric 1 Visconti, Giuseppe 1 Wang, Yubo 1 Zhu, Xueyu
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### Serials

 12 Journal of Computational Physics 11 SIAM Journal on Numerical Analysis 10 SIAM Journal on Scientific Computing 7 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 6 Transport Theory and Statistical Physics 5 Applied Mathematics Letters 4 Journal of Statistical Physics 4 Journal of Scientific Computing 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Multiscale Modeling & Simulation 4 Networks and Heterogeneous Media 3 International Journal for Numerical Methods in Fluids 3 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 3 Communications in Mathematical Sciences 3 Kinetic and Related Models 2 Computers and Fluids 2 Mathematics of Computation 2 Applied Mathematics and Computation 2 Journal of Computational and Applied Mathematics 2 Numerische Mathematik 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Communications in Computational Physics 2 Communications in Applied and Industrial Mathematics 2 Modeling and Simulation in Science, Engineering and Technology 2 Communications on Applied Mathematics and Computation 1 Journal of Mathematical Biology 1 Mathematical Biosciences 1 Physica A 1 Applied Mathematics and Optimization 1 International Journal for Numerical Methods in Engineering 1 Le Matematiche 1 Acta Mathematicae Applicatae Sinica. English Series 1 Numerical Methods for Partial Differential Equations 1 Surveys on Mathematics for Industry 1 SIAM Journal on Optimization 1 Journal of Nonlinear Science 1 Monte Carlo Methods and Applications 1 Communications on Applied Nonlinear Analysis 1 Mathematical Problems in Engineering 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 Computational Methods in Applied Mathematics 1 Journal of Computational Methods in Sciences and Engineering 1 Rivista di Matematica della Università di Parma. Serie 7 1 Acta Numerica 1 Oberwolfach Reports 1 SIAM/ASA Journal on Uncertainty Quantification 1 SEMA SIMAI Springer Series
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### Fields

 94 Numerical analysis (65-XX) 69 Statistical mechanics, structure of matter (82-XX) 66 Fluid mechanics (76-XX) 58 Partial differential equations (35-XX) 18 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 14 Biology and other natural sciences (92-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 8 Operations research, mathematical programming (90-XX) 7 General and overarching topics; collections (00-XX) 7 Integral equations (45-XX) 5 Probability theory and stochastic processes (60-XX) 5 Systems theory; control (93-XX) 4 Computer science (68-XX) 4 Mechanics of deformable solids (74-XX) 2 Ordinary differential equations (34-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

134 Publications have been cited 2,572 times in 1,138 Documents Cited by Year
Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation. Zbl 1203.65111
Pareschi, Lorenzo; Russo, Giovanni
2005
Numerical methods for kinetic equations. Zbl 1398.65260
Dimarco, G.; Pareschi, L.
2014
Interacting multiagent systems. Kinetic equations and Monte Carlo methods. Zbl 1330.93004
Pareschi, Lorenzo; Toscani, Giuseppe
2014
Uniformly accurate diffusive relaxation schemes for multiscale transport equations. Zbl 0976.65091
Jin, Shi; Pareschi, Lorenzo; Toscani, Giuseppe
2000
Numerical solution of the Boltzmann equation. I: Spectrally accurate approximation of the collision operator. Zbl 1049.76055
Pareschi, Lorenzo; Russo, Giovanni
2000
Vehicular traffic, crowds, and swarms: from kinetic theory and multiscale methods to applications and research perspectives. Zbl 1431.35211
Albi, G.; Bellomo, N.; Fermo, L.; Ha, S.-Y.; Kim, J.; Pareschi, L.; Poyato, D.; Soler, J.
2019
Diffusive relaxation schemes for multiscale discrete-velocity kinetic equations. Zbl 0938.35097
Jin, Shi; Pareschi, Lorenzo; Toscani, Giuseppe
1998
Fast algorithms for computing the Boltzmann collision operator. Zbl 1105.76043
Mouhot, Clément; Pareschi, Lorenzo
2006
Implicit-explicit Runge–Kutta schemes for hyperbolic systems and kinetic equations in the diffusion limit. Zbl 1264.65150
Boscarino, S.; Pareschi, L.; Russo, G.
2013
Mathematical modeling of collective behavior in socio-economic and life sciences. Zbl 1200.91010
2010
On a kinetic model for a simple market economy. Zbl 1133.91474
Cordier, Stephane; Pareschi, Lorenzo; Toscani, Giuseppe
2005
A Fourier spectral method for homogeneous Boltzmann equations. Zbl 0870.76074
Pareschi, Lorenzo; Perthame, Benoit
1996
Implicit-explicit Runge-Kutta schemes for stiff systems of differential equations. Zbl 1018.65093
Pareschi, Lorenzo; Russo, Giovanni
2001
Asymptotic preserving implicit-explicit Runge–Kutta methods for nonlinear kinetic equations. Zbl 1268.76055
Dimarco, Giacomo; Pareschi, Lorenzo
2013
Relaxation schemes for nonlinear kinetic equations. Zbl 0897.76071
Gabetta, E.; Pareschi, L.; Toscani, G.
1997
Solving the Boltzmann equation in $$N \log_2 N$$. Zbl 1174.82012
Filbet, Francis; Mouhot, Clément; Pareschi, Lorenzo
2006
Boltzmann-type control of opinion consensus through leaders. Zbl 1353.91038
Albi, G.; Pareschi, L.; Zanella, M.
2014
Exponential Runge-Kutta methods for stiff kinetic equations. Zbl 1298.76150
Dimarco, Giacomo; Pareschi, Lorenzo
2011
Fast spectral methods for the Fokker-Planck-Landau collision operator. Zbl 1052.82545
Pareschi, L.; Russo, G.; Toscani, G.
2000
Binary interaction algorithms for the simulation of flocking and swarming dynamics. Zbl 1274.92053
Albi, G.; Pareschi, L.
2013
Kinetic description of optimal control problems and applications to opinion consensus. Zbl 1325.49001
Albi, Giacomo; Herty, Michael; Pareschi, Lorenzo
2015
Time relaxed Monte Carlo methods for the Boltzmann equation. Zbl 1028.82016
Pareschi, Lorenzo; Russo, Giovanni
2001
An introduction to Monte Carlo methods for the Boltzmann equation. Zbl 0982.65145
Pareschi, Lorenzo; Russo, Giovanni
2001
Numerical schemes for hyperbolic systems of conservation laws with stiff diffusive relaxation. Zbl 0954.35109
Naldi, Giovanni; Pareschi, Lorenzo
2000
Uncertainty quantification in control problems for flocking models. Zbl 1394.93074
Albi, Giacomo; Pareschi, Lorenzo; Zanella, Mattia
2015
Structure preserving schemes for nonlinear Fokker-Planck equations and applications. Zbl 1395.65027
Pareschi, Lorenzo; Zanella, Mattia
2018
Hybrid multiscale methods. II: Kinetic equations. Zbl 1185.65198
Dimarco, Giacomo; Pareschi, Lorenzo
2008
A numerical method for the accurate solution of the Fokker-Planck-Landau equation in the nonhomogeneous case. Zbl 1003.82011
Filbet, Francis; Pareschi, Lorenzo
2002
Modeling of self-organized systems interacting with a few individuals: from microscopic to macroscopic dynamics. Zbl 1257.92048
Albi, G.; Pareschi, L.
2013
The moment-guided Monte Carlo method. Zbl 1227.82061
Degond, Pierre; Dimarco, Giacomo; Pareschi, Lorenzo
2011
An implicit Monte Carlo method for rarefied gas dynamics. I: The space homogeneous case. Zbl 0953.76075
Pareschi, Lorenzo; Caflisch, Russel E.
1999
Wealth distribution and collective knowledge: a Boltzmann approach. Zbl 1353.91036
Pareschi, L.; Toscani, G.
2014
Discretization of the multiscale semiconductor Boltzmann equation by diffusive relaxation schemes. Zbl 1156.82408
Jin, Shi; Pareschi, Lorenzo
2000
Numerical schemes for kinetic equations in diffusive regimes. Zbl 1337.65118
Naldi, G.; Pareschi, L.
1998
Self-similarity and power-like tails in nonconservative kinetic models. Zbl 1134.82037
Pareschi, Lorenzo; Toscani, Giuseppe
2006
Opinion dynamics over complex networks: kinetic modelling and numerical methods. Zbl 1352.35195
Albi, Giacomo; Pareschi, Lorenzo; Zanella, Mattia
2017
Fluid solver independent hybrid methods for multiscale kinetic equations. Zbl 1292.76051
Dimarco, Giacomo; Pareschi, Lorenzo
2010
On the stability of spectral methods for the homogeneous Boltzmann equation. Zbl 1019.82016
Pareschi, Lorenzo; Russo, Giovanni
2000
Spectral methods for the non cut-off Boltzmann equation and numerical grazing collision limit. Zbl 1106.65324
Pareschi, L.; Toscani, G.; Villani, C.
2003
Fokker-Planck asymptotics for traffic flow models. Zbl 1185.90036
Herty, Michael; Pareschi, Lorenzo
2010
A unified IMEX Runge-Kutta approach for hyperbolic systems with multiscale relaxation. Zbl 1372.65261
Boscarino, Sebastiano; Pareschi, Lorenzo; Russo, Giovanni
2017
Central differencing based numerical schemes for hyperbolic conservation laws with relaxation terms. Zbl 1020.65048
Pareschi, Lorenzo
2001
Exponential Runge-Kutta for the inhomogeneous Boltzmann equations with high order of accuracy. Zbl 1349.76707
Li, Qin; Pareschi, Lorenzo
2014
Mesoscopic modelling of financial markets. Zbl 1168.82019
Cordier, Stephane; Pareschi, Lorenzo; Piatecki, Cyrille
2009
High order asymptotic-preserving schemes for the Boltzmann equation. Zbl 1242.35185
Dimarco, Giacomo; Pareschi, Lorenzo
2012
Modeling and computational methods for kinetic equations. Zbl 1054.76004
2004
On the asymptotic properties of IMEX Runge-Kutta schemes for hyperbolic balance laws. Zbl 1375.65119
Boscarino, S.; Pareschi, L.
2017
Uncertainty quantification for kinetic models in socio-economic and life sciences. Zbl 1459.65207
Dimarco, Giacomo; Pareschi, Lorenzo; Zanella, Mattia
2017
Implicit-explicit linear multistep methods for stiff kinetic equations. Zbl 1432.65131
Dimarco, Giacomo; Pareschi, Lorenzo
2017
Asymptotic preserving Monte Carlo methods for the Boltzmann equation. Zbl 1028.82019
Pareschi, Lorenzo; Russo, Giovanni
2000
Fast conservative and entropic numerical methods for the boson Boltzmann equation. Zbl 1204.82031
Markowich, Peter A.; Pareschi, Lorenzo
2005
Uncertainty quantification for hyperbolic and kinetic equations. Zbl 1393.35003
2017
Implicit-explicit Runge-Kutta schemes for the Boltzmann-Poisson system for semiconductors. Zbl 1373.82074
Dimarco, Giacomo; Pareschi, Lorenzo; Rispoli, Vittorio
2014
Convolutive decomposition and fast summation methods for discrete-velocity approximations of the Boltzmann equation. Zbl 1311.76111
Mouhot, Clément; Pareschi, Lorenzo; Rey, Thomas
2013
Numerical solution of the Boltzmann equation by time relaxed Monte Carlo (TRMC) methods. Zbl 1139.76334
Pareschi, Lorenzo; Trazzi, Stefano
2005
Central Runge-Kutta schemes for conservation laws. Zbl 1077.65094
Pareschi, Lorenzo; Puppo, Gabriella; Russo, Giovanni
2005
On steady-state preserving spectral methods for homogeneous Boltzmann equations. (Sur des méthodes spectrales préservant les équilibres de l’équation de Boltzmann homogène.) Zbl 1315.35139
Filbet, Francis; Pareschi, Lorenzo; Rey, Thomas
2015
High-order asymptotically strong-stability-preserving methods for hyperbolic systems with stiff relaxation. Zbl 1064.65105
Pareschi, Lorenzo; Russo, Giovanni
2003
Efficient stochastic asymptotic-preserving implicit-explicit methods for transport equations with diffusive scalings and random inputs. Zbl 1391.35307
Jin, Shi; Lu, Hanqing; Pareschi, Lorenzo
2018
A relaxation scheme for solving the Boltzmann equation based on the Chapman-Enskog expansion. Zbl 0998.82027
Jin, Shi; Pareschi, Lorenzo; Slemrod, Marshall
2002
Hydrodynamic models of preference formation in multi-agent societies. Zbl 1427.35156
Pareschi, Lorenzo; Toscani, Giuseppe; Tosin, Andrea; Zanella, Mattia
2019
Compressible and incompressible limits for hyperbolic systems with relaxation. Zbl 1058.76035
Banda, M. K.; Seaïd, M.; Klar, A.; Pareschi, L.
2004
Accurate numerical methods for the collisional motion of (heated) granular flows. Zbl 1288.76056
Filbet, Francis; Pareschi, Lorenzo; Toscani, Giuseppe
2005
Relaxation schemes for partial differential equations and applications to degenerate diffusion problems. Zbl 1028.35104
Naldi, Giovanni; Pareschi, Lorenzo; Toscani, Giuseppe
2002
Structure preserving schemes for the continuum Kuramoto model: phase transitions. Zbl 1416.65028
Carrillo, José A.; Choi, Young-Pil; Pareschi, Lorenzo
2019
Consensus-based optimization on hypersurfaces: well-posedness and mean-field limit. Zbl 1467.90039
Fornasier, Massimo; Huang, Hui; Pareschi, Lorenzo; Sünnen, Philippe
2020
Mean-field control and Riccati equations. Zbl 1332.35372
Herty, Michael; Pareschi, Lorenzo; Steffensen, Sonja
2015
Spectral methods for one-dimensional kinetic models of granular flows and numerical quasi-elastic limit. Zbl 1046.76034
Naldi, Giovanni; Pareschi, Lorenzo; Toscani, Giuseppe
2003
Dissipative hydrodynamic models for the diffusion of impurities in a gas. Zbl 1173.82352
Brull, Stephane; Pareschi, Lorenzo
2006
Discrete-velocity models and relaxation schemes for traffic flows. Zbl 1344.65081
Herty, Michael; Pareschi, Lorenzo; Seaid, Mohammed
2006
Asymptotic-preserving Monte Carlo methods for transport equations in the diffusive limit. Zbl 1383.65130
Dimarco, G.; Pareschi, L.; Samaey, G.
2018
Kinetic models of collective decision-making in the presence of equality bias. Zbl 1400.91141
Pareschi, Lorenzo; Vellucci, Pierluigi; Zanella, Mattia
2017
Residual equilibrium schemes for time dependent partial differential equations. Zbl 1390.65092
Pareschi, Lorenzo; Rey, Thomas
2017
Towards a hybrid Monte Carlo method for rarefied gas dynamics. Zbl 1038.76035
Caflisch, Russel E.; Pareschi, Lorenzo
2004
Mean field mutation dynamics and the continuous Luria-Delbrück distribution. Zbl 1316.92051
Kashdan, Eugene; Pareschi, Lorenzo
2012
Particle based gPC methods for mean-field models of swarming with uncertainty. Zbl 1473.65252
Carrillo Antonio, José; Pareschi, Lorenzo; Zanella, Mattia
2019
Multi-scale control variate methods for uncertainty quantification in kinetic equations. Zbl 1452.65005
Dimarco, Giacomo; Pareschi, Lorenzo
2019
About the non cutoff Kac equation: Uniqueness and asymptotic behaviour. Zbl 0873.45006
Gabetta, E.; Pareschi, L.
1997
Enskog-like discrete velocity models for vehicular traffic flow. Zbl 1232.90131
Herty, Michael; Pareschi, Lorenzo; Seaïd, Mohammed
2007
Implicit-explicit Runge-Kutta schemes for numerical discretization of optimal control problems. Zbl 1287.65049
Herty, M.; Pareschi, L.; Steffensen, S.
2013
An introduction to the numerical analysis of the Boltzmann equation. Zbl 1152.82019
Pareschi, Lorenzo; Russo, Giovanni
2005
Implicit-explicit multistep methods for hyperbolic systems with multiscale relaxation. Zbl 1455.65126
Albi, Giacomo; Dimarco, Giacomo; Pareschi, Lorenzo
2020
Control with uncertain data of socially structured compartmental epidemic models. Zbl 1467.92167
Albi, Giacomo; Pareschi, Lorenzo; Zanella, Mattia
2021
Hyperbolic models for the spread of epidemics on networks: kinetic description and numerical methods. Zbl 1472.65105
Bertaglia, Giulia; Pareschi, Lorenzo
2021
Fast methods for the Boltzmann collision integral. Zbl 1054.76067
Mouhot, Clément; Pareschi, Lorenzo
2004
Direct simulation Monte Carlo schemes for Coulomb interactions in plasmas. Zbl 1329.82123
Dimarco, Giacomo; Caflisch, Russel; Pareschi, Lorenzo
2010
Hybrid multiscale methods for hyperbolic and kinetic problems. Zbl 1087.65088
Pareschi, Lorenzo
2005
Structure preserving schemes for mean-field equations of collective behavior. Zbl 1412.65087
Pareschi, Lorenzo; Zanella, Mattia
2018
Modeling and simulating the spatial spread of an epidemic through multiscale kinetic transport equations. Zbl 1473.92006
Boscheri, Walter; Dimarco, Giacomo; Pareschi, Lorenzo
2021
Selective model-predictive control for flocking systems. Zbl 1423.93113
Albi, Giacomo; Pareschi, Lorenzo
2018
Multiscale variance reduction methods based on multiple control variates for kinetic equations with uncertainties. Zbl 1433.76150
Dimarco, Giacomo; Pareschi, Lorenzo
2020
General kinetic models for vehicular traffic flows and Monte-Carlo methods. Zbl 1114.90011
Herty, M.; Klar, A.; Pareschi, L.
2005
Quantum kinetic theory: modelling and numerics for Bose-Einstein condensation. Zbl 1106.82344
Bao, Weizhu; Pareschi, Lorenzo; Markowich, Peter A.
2004
Uniformly accurate schemes for relaxation approximations to fluid dynamic equations. Zbl 1040.76047
Klar, A.; Pareschi, L.; Seaid, M.
2003
On a continuous mixed strategies model for evolutionary game theory. Zbl 1216.35156
Boccabella, Astridh; Natalini, Roberto; Pareschi, Lorenzo
2011
Hyperbolic relaxation approximation to nonlinear parabolic problems. Zbl 0928.35099
Naldi, Giovanni; Pareschi, Lorenzo; Toscani, Giuseppe
1999
Asymptotic-preserving exponential methods for the quantum Boltzmann equation with high-order accuracy. Zbl 1317.65153
Hu, Jingwei; Li, Qin; Pareschi, Lorenzo
2015
Lattice-Boltzmann type relaxation systems and high-order relaxation schemes for the incompressible Navier-Stokes equations. Zbl 1130.76060
Banda, Mapundi; Klar, Axel; Pareschi, Lorenzo; Seaïd, Mohammed
2008
Modelling and numerical methods for the dynamics of impurities in a gas. Zbl 1152.76052
Ferrari, E.; Pareschi, L.
2008
Approximating the Broadwell model in a strip. Zbl 0763.76070
Gabetta, Ester; Pareschi, Lorenzo
1992
Control with uncertain data of socially structured compartmental epidemic models. Zbl 1467.92167
Albi, Giacomo; Pareschi, Lorenzo; Zanella, Mattia
2021
Hyperbolic models for the spread of epidemics on networks: kinetic description and numerical methods. Zbl 1472.65105
Bertaglia, Giulia; Pareschi, Lorenzo
2021
Modeling and simulating the spatial spread of an epidemic through multiscale kinetic transport equations. Zbl 1473.92006
Boscheri, Walter; Dimarco, Giacomo; Pareschi, Lorenzo
2021
From particle swarm optimization to consensus based optimization: stochastic modeling and mean-field limit. Zbl 1473.35570
Grassi, Sara; Pareschi, Lorenzo
2021
High order pressure-based semi-implicit IMEX schemes for the 3D Navier-Stokes equations at all Mach numbers. Zbl 07508522
Boscheri, Walter; Pareschi, Lorenzo
2021
Uncertainty quantification for the BGK model of the Boltzmann equation using multilevel variance reduced Monte Carlo methods. Zbl 1473.35389
Hu, Jingwei; Pareschi, Lorenzo; Wang, Yubo
2021
Uncertainty quantification of viscoelastic parameters in arterial hemodynamics with the a-FSI blood flow model. Zbl 07506533
Bertaglia, Giulia; Caleffi, Valerio; Pareschi, Lorenzo; Valiani, Alessandro
2021
Hyperbolic compartmental models for epidemic spread on networks with uncertain data: application to the emergence of COVID-19 in Italy. Zbl 1478.92178
Bertaglia, Giulia; Pareschi, Lorenzo
2021
Consensus-based optimization on hypersurfaces: well-posedness and mean-field limit. Zbl 1467.90039
Fornasier, Massimo; Huang, Hui; Pareschi, Lorenzo; Sünnen, Philippe
2020
Implicit-explicit multistep methods for hyperbolic systems with multiscale relaxation. Zbl 1455.65126
Albi, Giacomo; Dimarco, Giacomo; Pareschi, Lorenzo
2020
Multiscale variance reduction methods based on multiple control variates for kinetic equations with uncertainties. Zbl 1433.76150
Dimarco, Giacomo; Pareschi, Lorenzo
2020
Monte Carlo stochastic Galerkin methods for the Boltzmann equation with uncertainties: space-homogeneous case. Zbl 07508427
Pareschi, L.; Zanella, M.
2020
Special issue on mathematical models for collective dynamics. Zbl 07291680
2020
Mean field models for large data-clustering problems. Zbl 1451.82045
Herty, Michael; Pareschi, Lorenzo; Visconti, Giuseppe
2020
Vehicular traffic, crowds, and swarms: from kinetic theory and multiscale methods to applications and research perspectives. Zbl 1431.35211
Albi, G.; Bellomo, N.; Fermo, L.; Ha, S.-Y.; Kim, J.; Pareschi, L.; Poyato, D.; Soler, J.
2019
Hydrodynamic models of preference formation in multi-agent societies. Zbl 1427.35156
Pareschi, Lorenzo; Toscani, Giuseppe; Tosin, Andrea; Zanella, Mattia
2019
Structure preserving schemes for the continuum Kuramoto model: phase transitions. Zbl 1416.65028
Carrillo, José A.; Choi, Young-Pil; Pareschi, Lorenzo
2019
Particle based gPC methods for mean-field models of swarming with uncertainty. Zbl 1473.65252
Carrillo Antonio, José; Pareschi, Lorenzo; Zanella, Mattia
2019
Multi-scale control variate methods for uncertainty quantification in kinetic equations. Zbl 1452.65005
Dimarco, Giacomo; Pareschi, Lorenzo
2019
Boltzmann games in heterogeneous consensus dynamics. Zbl 1415.35219
Albi, Giacomo; Pareschi, Lorenzo; Zanella, Mattia
2019
Portfolio optimization and model predictive control: A kinetic approach. Zbl 1426.91257
Trimborn, Torsten; Pareschi, Lorenzo; Frank, Martin
2019
Linear multistep methods for optimal control problems and applications to hyperbolic relaxation systems. Zbl 1428.49003
Albi, G.; Herty, M.; Pareschi, L.
2019
Control strategies for the dynamics of large particle systems. Zbl 1453.93007
Herty, Michael; Pareschi, Lorenzo; Steffensen, Sonja
2019
Structure preserving schemes for nonlinear Fokker-Planck equations and applications. Zbl 1395.65027
Pareschi, Lorenzo; Zanella, Mattia
2018
Efficient stochastic asymptotic-preserving implicit-explicit methods for transport equations with diffusive scalings and random inputs. Zbl 1391.35307
Jin, Shi; Lu, Hanqing; Pareschi, Lorenzo
2018
Asymptotic-preserving Monte Carlo methods for transport equations in the diffusive limit. Zbl 1383.65130
Dimarco, G.; Pareschi, L.; Samaey, G.
2018
Structure preserving schemes for mean-field equations of collective behavior. Zbl 1412.65087
Pareschi, Lorenzo; Zanella, Mattia
2018
Selective model-predictive control for flocking systems. Zbl 1423.93113
Albi, Giacomo; Pareschi, Lorenzo
2018
A high order stochastic asymptotic preserving scheme for chemotaxis kinetic models with random inputs. Zbl 1471.92062
Jin, Shi; Lu, Hanqing; Pareschi, Lorenzo
2018
Opinion dynamics over complex networks: kinetic modelling and numerical methods. Zbl 1352.35195
Albi, Giacomo; Pareschi, Lorenzo; Zanella, Mattia
2017
A unified IMEX Runge-Kutta approach for hyperbolic systems with multiscale relaxation. Zbl 1372.65261
Boscarino, Sebastiano; Pareschi, Lorenzo; Russo, Giovanni
2017
On the asymptotic properties of IMEX Runge-Kutta schemes for hyperbolic balance laws. Zbl 1375.65119
Boscarino, S.; Pareschi, L.
2017
Uncertainty quantification for kinetic models in socio-economic and life sciences. Zbl 1459.65207
Dimarco, Giacomo; Pareschi, Lorenzo; Zanella, Mattia
2017
Implicit-explicit linear multistep methods for stiff kinetic equations. Zbl 1432.65131
Dimarco, Giacomo; Pareschi, Lorenzo
2017
Uncertainty quantification for hyperbolic and kinetic equations. Zbl 1393.35003
2017
Kinetic models of collective decision-making in the presence of equality bias. Zbl 1400.91141
Pareschi, Lorenzo; Vellucci, Pierluigi; Zanella, Mattia
2017
Residual equilibrium schemes for time dependent partial differential equations. Zbl 1390.65092
Pareschi, Lorenzo; Rey, Thomas
2017
Kinetic description of optimal control problems and applications to opinion consensus. Zbl 1325.49001
Albi, Giacomo; Herty, Michael; Pareschi, Lorenzo
2015
Uncertainty quantification in control problems for flocking models. Zbl 1394.93074
Albi, Giacomo; Pareschi, Lorenzo; Zanella, Mattia
2015
On steady-state preserving spectral methods for homogeneous Boltzmann equations. (Sur des méthodes spectrales préservant les équilibres de l’équation de Boltzmann homogène.) Zbl 1315.35139
Filbet, Francis; Pareschi, Lorenzo; Rey, Thomas
2015
Mean-field control and Riccati equations. Zbl 1332.35372
Herty, Michael; Pareschi, Lorenzo; Steffensen, Sonja
2015
Asymptotic-preserving exponential methods for the quantum Boltzmann equation with high-order accuracy. Zbl 1317.65153
Hu, Jingwei; Li, Qin; Pareschi, Lorenzo
2015
Numerical methods for kinetic equations. Zbl 1398.65260
Dimarco, G.; Pareschi, L.
2014
Interacting multiagent systems. Kinetic equations and Monte Carlo methods. Zbl 1330.93004
Pareschi, Lorenzo; Toscani, Giuseppe
2014
Boltzmann-type control of opinion consensus through leaders. Zbl 1353.91038
Albi, G.; Pareschi, L.; Zanella, M.
2014
Wealth distribution and collective knowledge: a Boltzmann approach. Zbl 1353.91036
Pareschi, L.; Toscani, G.
2014
Exponential Runge-Kutta for the inhomogeneous Boltzmann equations with high order of accuracy. Zbl 1349.76707
Li, Qin; Pareschi, Lorenzo
2014
Implicit-explicit Runge-Kutta schemes for the Boltzmann-Poisson system for semiconductors. Zbl 1373.82074
Dimarco, Giacomo; Pareschi, Lorenzo; Rispoli, Vittorio
2014
Asymptotic preserving time-discretization of optimal control problems for the Goldstein-Taylor model. Zbl 1311.65079
Albi, Giacomo; Herty, Michael; Jörres, Christian; Pareschi, Lorenzo
2014
Implicit-explicit Runge–Kutta schemes for hyperbolic systems and kinetic equations in the diffusion limit. Zbl 1264.65150
Boscarino, S.; Pareschi, L.; Russo, G.
2013
Asymptotic preserving implicit-explicit Runge–Kutta methods for nonlinear kinetic equations. Zbl 1268.76055
Dimarco, Giacomo; Pareschi, Lorenzo
2013
Binary interaction algorithms for the simulation of flocking and swarming dynamics. Zbl 1274.92053
Albi, G.; Pareschi, L.
2013
Modeling of self-organized systems interacting with a few individuals: from microscopic to macroscopic dynamics. Zbl 1257.92048
Albi, G.; Pareschi, L.
2013
Convolutive decomposition and fast summation methods for discrete-velocity approximations of the Boltzmann equation. Zbl 1311.76111
Mouhot, Clément; Pareschi, Lorenzo; Rey, Thomas
2013
Implicit-explicit Runge-Kutta schemes for numerical discretization of optimal control problems. Zbl 1287.65049
Herty, M.; Pareschi, L.; Steffensen, S.
2013
Numerical methods for the optimal control of scalar conservation laws. Zbl 1266.49056
Steffensen, Sonja; Herty, Michael; Pareschi, Lorenzo
2013
High order asymptotic-preserving schemes for the Boltzmann equation. Zbl 1242.35185
Dimarco, Giacomo; Pareschi, Lorenzo
2012
Mean field mutation dynamics and the continuous Luria-Delbrück distribution. Zbl 1316.92051
Kashdan, Eugene; Pareschi, Lorenzo
2012
Exponential Runge-Kutta methods for stiff kinetic equations. Zbl 1298.76150
Dimarco, Giacomo; Pareschi, Lorenzo
2011
The moment-guided Monte Carlo method. Zbl 1227.82061
Degond, Pierre; Dimarco, Giacomo; Pareschi, Lorenzo
2011
On a continuous mixed strategies model for evolutionary game theory. Zbl 1216.35156
Boccabella, Astridh; Natalini, Roberto; Pareschi, Lorenzo
2011
Mathematical modeling of collective behavior in socio-economic and life sciences. Zbl 1200.91010
2010
Fluid solver independent hybrid methods for multiscale kinetic equations. Zbl 1292.76051
Dimarco, Giacomo; Pareschi, Lorenzo
2010
Fokker-Planck asymptotics for traffic flow models. Zbl 1185.90036
Herty, Michael; Pareschi, Lorenzo
2010
Direct simulation Monte Carlo schemes for Coulomb interactions in plasmas. Zbl 1329.82123
Dimarco, Giacomo; Caflisch, Russel; Pareschi, Lorenzo
2010
Mesoscopic modelling of financial markets. Zbl 1168.82019
Cordier, Stephane; Pareschi, Lorenzo; Piatecki, Cyrille
2009
Adaptive and recursive time relaxed Monte Carlo methods for rarefied gas dynamics. Zbl 1252.76074
Trazzi, Stefano; Pareschi, Lorenzo; Wennberg, Bernt
2009
IMEX Runge-Kutta schemes and hyperbolic systems of conservation laws with stiff diffusive relaxation. Zbl 1184.35203
Boscarino, S.; Pareschi, L.; Russo, G.
2009
Hybrid multiscale methods. II: Kinetic equations. Zbl 1185.65198
Dimarco, Giacomo; Pareschi, Lorenzo
2008
Lattice-Boltzmann type relaxation systems and high-order relaxation schemes for the incompressible Navier-Stokes equations. Zbl 1130.76060
Banda, Mapundi; Klar, Axel; Pareschi, Lorenzo; Seaïd, Mohammed
2008
Modelling and numerical methods for the dynamics of impurities in a gas. Zbl 1152.76052
Ferrari, E.; Pareschi, L.
2008
Enskog-like discrete velocity models for vehicular traffic flow. Zbl 1232.90131
Herty, Michael; Pareschi, Lorenzo; Seaïd, Mohammed
2007
Fast algorithms for computing the Boltzmann collision operator. Zbl 1105.76043
Mouhot, Clément; Pareschi, Lorenzo
2006
Solving the Boltzmann equation in $$N \log_2 N$$. Zbl 1174.82012
Filbet, Francis; Mouhot, Clément; Pareschi, Lorenzo
2006
Self-similarity and power-like tails in nonconservative kinetic models. Zbl 1134.82037
Pareschi, Lorenzo; Toscani, Giuseppe
2006
Dissipative hydrodynamic models for the diffusion of impurities in a gas. Zbl 1173.82352
Brull, Stephane; Pareschi, Lorenzo
2006
Discrete-velocity models and relaxation schemes for traffic flows. Zbl 1344.65081
Herty, Michael; Pareschi, Lorenzo; Seaid, Mohammed
2006
Hybrid multiscale methods. I: Hyperbolic relaxation problems. Zbl 1185.65197
Dimarco, Giacomo; Pareschi, Lorenzo
2006
Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation. Zbl 1203.65111
Pareschi, Lorenzo; Russo, Giovanni
2005
On a kinetic model for a simple market economy. Zbl 1133.91474
Cordier, Stephane; Pareschi, Lorenzo; Toscani, Giuseppe
2005
Fast conservative and entropic numerical methods for the boson Boltzmann equation. Zbl 1204.82031
Markowich, Peter A.; Pareschi, Lorenzo
2005
Numerical solution of the Boltzmann equation by time relaxed Monte Carlo (TRMC) methods. Zbl 1139.76334
Pareschi, Lorenzo; Trazzi, Stefano
2005
Central Runge-Kutta schemes for conservation laws. Zbl 1077.65094
Pareschi, Lorenzo; Puppo, Gabriella; Russo, Giovanni
2005
Accurate numerical methods for the collisional motion of (heated) granular flows. Zbl 1288.76056
Filbet, Francis; Pareschi, Lorenzo; Toscani, Giuseppe
2005
An introduction to the numerical analysis of the Boltzmann equation. Zbl 1152.82019
Pareschi, Lorenzo; Russo, Giovanni
2005
Hybrid multiscale methods for hyperbolic and kinetic problems. Zbl 1087.65088
Pareschi, Lorenzo
2005
General kinetic models for vehicular traffic flows and Monte-Carlo methods. Zbl 1114.90011
Herty, M.; Klar, A.; Pareschi, L.
2005
Modeling and computational methods for kinetic equations. Zbl 1054.76004
2004
Compressible and incompressible limits for hyperbolic systems with relaxation. Zbl 1058.76035
Banda, M. K.; Seaïd, M.; Klar, A.; Pareschi, L.
2004
Towards a hybrid Monte Carlo method for rarefied gas dynamics. Zbl 1038.76035
Caflisch, Russel E.; Pareschi, Lorenzo
2004
Fast methods for the Boltzmann collision integral. Zbl 1054.76067
Mouhot, Clément; Pareschi, Lorenzo
2004
Quantum kinetic theory: modelling and numerics for Bose-Einstein condensation. Zbl 1106.82344
Bao, Weizhu; Pareschi, Lorenzo; Markowich, Peter A.
2004
Modelling and numerical methods for granular gases. Zbl 1106.82032
Pareschi, Lorenzo; Toscani, Giuseppe
2004
A kinetic approximation of Hele-Shaw flow. Zbl 1036.35071
Pareschi, Lorenzo; Russo, Giovanni; Toscani, Giuseppe
2004
Convergence of a quadrature formula for the approximation of stress intensity factor for planar cracks. Zbl 1098.74058
Ascenzi, Oscar; Pareschi, Lorenzo; Segala, Fausto
2004
A new Monte Carlo approach for conservation laws and relaxation systems. Zbl 1080.65506
Pareschi, L.; Seaïd, M.
2004
Spectral methods for the non cut-off Boltzmann equation and numerical grazing collision limit. Zbl 1106.65324
Pareschi, L.; Toscani, G.; Villani, C.
2003
High-order asymptotically strong-stability-preserving methods for hyperbolic systems with stiff relaxation. Zbl 1064.65105
Pareschi, Lorenzo; Russo, Giovanni
2003
Spectral methods for one-dimensional kinetic models of granular flows and numerical quasi-elastic limit. Zbl 1046.76034
Naldi, Giovanni; Pareschi, Lorenzo; Toscani, Giuseppe
2003
Uniformly accurate schemes for relaxation approximations to fluid dynamic equations. Zbl 1040.76047
Klar, A.; Pareschi, L.; Seaid, M.
2003
...and 34 more Documents
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### Cited by 1,382 Authors

 76 Pareschi, Lorenzo 50 Ha, Seung-Yeal 45 Toscani, Giuseppe 34 Dimarco, Giacomo 30 Jin, Shi 27 Russo, Giovanni 26 Zanella, Mattia 25 Herty, Michael Matthias 24 Hu, Jingwei 22 Bellomo, Nicola 21 Carrillo de la Plata, José Antonio 18 Albi, Giacomo 18 Park, Hansol 17 Klar, Axel 15 Mieussens, Luc 15 Puppo, Gabriella 15 Xu, Kun 14 Boscarino, Sebastiano 14 Degond, Pierre 14 Filbet, Francis 14 Martínez Gamba, Irene 14 Samaey, Giovanni 14 Tosin, Andrea 12 Banda, Mapundi Kondwani 12 Boscheri, Walter 11 Choi, Young-Pil 11 Hauck, Cory D. 11 Lemou, Mohammed 11 Li, Qin 11 Liu, Liu 10 Cheng, Yingda 10 Kang, Myeongju 10 Rey, Thomas 10 Wu, Lei 10 Yun, Seok-Bae 9 Cai, Zhenning 9 Jackiewicz, Zdzislaw 9 Kim, Doheon 9 Mulet, Pep 9 Natalini, Roberto 9 Qiu, Jingmei 9 Schütz, Jochen 9 Shim, Woojoo 9 Zhang, Yonghao 8 Brezzi, Franco 8 Bürger, Raimund 8 Gibelli, Livio 8 Gosse, Laurent 8 Kim, Dohyun 8 Knopoff, Damian A. 8 Loubère, Raphaël 8 Lukáčová-Medvid’ová, Mária 8 Sandu, Adrian 8 Seaïd, Mohammed 8 Soler, Juan S. 8 Visconti, Giuseppe 8 Wang, Yanli 7 Ahn, Hyunjin 7 Crouseilles, Nicolas 7 Dumbser, Michael 7 Haskovec, Jan 7 Higueras, Inmaculada 7 Huang, Juntao 7 Iollo, Angelo 7 Li, Fengyan 7 Pirner, Marlies 7 Saintier, Nicolas 7 Sun, Wenjun 7 Wang, Li 7 Wolfram, Marie-Therese 7 Xiong, Tao 6 Buet, Christophe 6 Burger, Martin 6 Chertock, Alina E. 6 Cho, Seung-Yeon 6 Cordier, Stéphane 6 Frank, Martin 6 Furioli, Giulia 6 Gabetta, Ester 6 Jiang, Song 6 Jung, Jinwook 6 Kim, Jeongho 6 Kurganov, Alexander 6 Liu, Jianguo 6 Lu, Jianfeng 6 Lu, Xuguang 6 Pinasco, Juan Pablo 6 Pulvirenti, Ada 6 Reese, Jason M. 6 Shu, Chi-Wang 6 Terraneo, Elide 6 Totzeck, Claudia 6 Venturi, Daniele 6 Villada, Luis Miguel 6 Xiao, Tianbai 6 Zhang, Hong 5 Bae, Hyeong-Ohk 5 Bernard, Florian 5 Bertaglia, Giulia 5 Bobylev, Alexandre Vasiljévitch ...and 1,282 more Authors
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### Cited in 171 Serials

 214 Journal of Computational Physics 80 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 52 Journal of Scientific Computing 52 Kinetic and Related Models 49 Journal of Statistical Physics 49 SIAM Journal on Scientific Computing 29 Applied Numerical Mathematics 27 Multiscale Modeling & Simulation 23 Journal of Computational and Applied Mathematics 21 Computers and Fluids 20 Applied Mathematics and Computation 19 Communications in Computational Physics 18 SIAM Journal on Numerical Analysis 16 Networks and Heterogeneous Media 15 Computers & Mathematics with Applications 14 Physica A 13 Computer Methods in Applied Mechanics and Engineering 13 Transport Theory and Statistical Physics 13 Mathematics of Computation 11 Numerische Mathematik 11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 9 Journal of Differential Equations 9 Mathematics and Computers in Simulation 8 SIAM Journal on Mathematical Analysis 8 Discrete and Continuous Dynamical Systems. Series B 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Journal of Mathematical Analysis and Applications 7 SIAM Journal on Applied Mathematics 6 Physica D 6 Discrete and Continuous Dynamical Systems 6 International Journal of Computational Fluid Dynamics 6 European Journal of Mechanics. B. Fluids 6 SMAI Journal of Computational Mathematics 5 Journal of Mathematical Physics 5 Chaos, Solitons and Fractals 5 Applied Mathematics Letters 5 Applied Mathematical Modelling 5 Stochastic Processes and their Applications 5 Vietnam Journal of Mathematics 5 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 5 Communications in Nonlinear Science and Numerical Simulation 5 Nonlinear Analysis. Real World Applications 5 SIAM Journal on Applied Dynamical Systems 5 Communications in Applied and Industrial Mathematics 5 SIAM/ASA Journal on Uncertainty Quantification 5 Communications on Applied Mathematics and Computation 4 Journal of Fluid Mechanics 4 Journal of Mathematical Biology 4 Quarterly of Applied Mathematics 4 Numerical Methods for Partial Differential Equations 4 Numerical Algorithms 4 Journal of Nonlinear Science 4 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 4 Mathematical Biosciences and Engineering 4 Advances in Applied Mathematics and Mechanics 3 Archive for Rational Mechanics and Analysis 3 Communications in Mathematical Physics 3 Applied Mathematics and Optimization 3 Automatica 3 International Journal for Numerical Methods in Engineering 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Proceedings of the American Mathematical Society 3 SIAM Journal on Control and Optimization 3 Transactions of the American Mathematical Society 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 European Journal of Applied Mathematics 3 International Journal of Computer Mathematics 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Journal of Mathematical Sciences (New York) 3 Mathematical Problems in Engineering 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Analysis and Applications (Singapore) 3 Journal of Mathematics in Industry 2 International Journal of Control 2 International Journal for Numerical Methods in Fluids 2 Mathematical Biosciences 2 Bulletin of Mathematical Biology 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Computational Mathematics and Mathematical Physics 2 Communications in Partial Differential Equations 2 Continuum Mechanics and Thermodynamics 2 Physics of Fluids 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 2 Chaos 2 Journal of Mathematical Fluid Mechanics 2 Journal of Evolution Equations 2 Communications on Pure and Applied Analysis 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Acta Numerica 2 Acta Mechanica Sinica 2 Journal of Theoretical Biology 2 Research in the Mathematical Sciences 2 SN Partial Differential Equations and Applications 2 Journal of Computational and Theoretical Transport 1 International Journal of Modern Physics B 1 Acta Mechanica 1 Applicable Analysis 1 Classical and Quantum Gravity 1 Communications on Pure and Applied Mathematics 1 Indian Journal of Pure & Applied Mathematics ...and 71 more Serials
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### Cited in 43 Fields

 562 Numerical analysis (65-XX) 513 Partial differential equations (35-XX) 433 Fluid mechanics (76-XX) 391 Statistical mechanics, structure of matter (82-XX) 136 Biology and other natural sciences (92-XX) 105 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 73 Probability theory and stochastic processes (60-XX) 65 Ordinary differential equations (34-XX) 49 Operations research, mathematical programming (90-XX) 45 Systems theory; control (93-XX) 44 Calculus of variations and optimal control; optimization (49-XX) 38 Dynamical systems and ergodic theory (37-XX) 33 Integral equations (45-XX) 24 Optics, electromagnetic theory (78-XX) 20 Classical thermodynamics, heat transfer (80-XX) 19 Computer science (68-XX) 19 Mechanics of particles and systems (70-XX) 12 Mechanics of deformable solids (74-XX) 11 Geophysics (86-XX) 10 Quantum theory (81-XX) 10 Astronomy and astrophysics (85-XX) 9 Statistics (62-XX) 8 Approximations and expansions (41-XX) 8 Global analysis, analysis on manifolds (58-XX) 6 General and overarching topics; collections (00-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Information and communication theory, circuits (94-XX) 5 Operator theory (47-XX) 4 Combinatorics (05-XX) 4 Special functions (33-XX) 3 Difference and functional equations (39-XX) 3 Integral transforms, operational calculus (44-XX) 3 Differential geometry (53-XX) 2 Real functions (26-XX) 2 Relativity and gravitational theory (83-XX) 2 Mathematics education (97-XX) 1 Mathematical logic and foundations (03-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Manifolds and cell complexes (57-XX)

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