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## Pareschi, Lorenzo

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 Author ID: pareschi.lorenzo Published as: Pareschi, L.; Pareschi, Lorenzo External Links: MGP · Wikidata · GND
 Documents Indexed: 134 Publications since 1991, including 5 Books
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#### Co-Authors

 6 single-authored 23 Toscani, Giuseppe 16 Russo, Giovanni 15 Dimarco, Giacomo 12 Albi, Giacomo 12 Herty, Michael Matthias 9 Gabetta, Ester 9 Zanella, Mattia 8 Naldi, Giovanni 7 Jin, Shi 6 Seaïd, Mohammed 5 Filbet, Francis 4 Boscarino, Sebastiano 4 Carrillo de la Plata, José Antonio 4 Klar, Axel 4 Mouhot, Clément 4 Rey, Thomas 4 Steffensen, Sonja 3 Caflisch, Russel E. 3 Cordier, Stéphane 2 Ascenzi, Oscar 2 Banda, Mapundi Kondwani 2 Bobylev, Alexandre Vasiljévitch 2 Degond, Pierre 2 Ferrari, Elisa 2 Frank, Martin 2 Ha, Seung-Yeal 2 Hu, Jingwei 2 Li, Qin 2 Lu, Hanqing 2 Markowich, Peter Alexander 2 Piatecki, Cyrille 2 Segala, Fausto 2 Trazzi, Stefano 2 Wennberg, Bernt 1 Bao, Weizhu 1 Bellomo, Nicola 1 Boccabella, Astridh 1 Brull, Stephane 1 Choi, Young-Pil 1 Comincioli, Valeriano 1 Fermo, Luisa 1 Jörres, Christian 1 Kashdan, Eugene 1 Kim, Jeongho 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 Russo, G. P. 1 Russo, Giuseppe 1 Russo, Giuseppina 1 Samaey, Giovanni 1 Slemrod, Marshall 1 Soler, Juan S. 1 Tosin, Andrea 1 Trimborn, Torsten 1 Vellucci, Pierluigi 1 Villani, Cédric 1 Visconti, Giuseppe
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#### Serials

 11 SIAM Journal on Numerical Analysis 10 SIAM Journal on Scientific Computing 7 Journal of Computational Physics 6 Transport Theory and Statistical Physics 4 Journal of Statistical Physics 4 Applied Mathematics Letters 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 Journal of Scientific Computing 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 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 Communications in Applied and Industrial Mathematics 2 Modeling and Simulation in Science, Engineering and Technology 1 Mathematical Biosciences 1 Physica A 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 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 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Communications in Computational Physics 1 SEMA SIMAI Springer Series
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#### Fields

 76 Numerical analysis (65-XX) 62 Statistical mechanics, structure of matter (82-XX) 60 Fluid mechanics (76-XX) 50 Partial differential equations (35-XX) 16 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 Biology and other natural sciences (92-XX) 7 Integral equations (45-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 General and overarching topics; collections (00-XX) 5 Operations research, mathematical programming (90-XX) 5 Systems theory; control (93-XX) 4 Mechanics of deformable solids (74-XX) 3 Probability theory and stochastic processes (60-XX) 3 Computer science (68-XX) 1 Ordinary differential equations (34-XX) 1 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

114 Publications have been cited 1,772 times in 773 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
Diffusive relaxation schemes for multiscale discrete-velocity kinetic equations. Zbl 0938.35097
Jin, Shi; Pareschi, Lorenzo; Toscani, Giuseppe
1998
Numerical solution of the Boltzmann equation. I: Spectrally accurate approximation of the collision operator. Zbl 1049.76055
Pareschi, Lorenzo; Russo, Giovanni
2000
Fast algorithms for computing the Boltzmann collision operator. Zbl 1105.76043
Mouhot, Clément; Pareschi, Lorenzo
2006
Implicit-explicit Runge-Kutta schemes for stiff systems of differential equations. Zbl 1018.65093
Pareschi, Lorenzo; Russo, Giovanni
2001
Mathematical modeling of collective behavior in socio-economic and life sciences. Zbl 1200.91010
Naldi, Giovanni (ed.); Pareschi, Lorenzo (ed.); Toscani, Giuseppe (ed.)
2010
A Fourier spectral method for homogeneous Boltzmann equations. Zbl 0870.76074
Pareschi, Lorenzo; Perthame, Benoit
1996
On a kinetic model for a simple market economy. Zbl 1133.91474
Cordier, Stephane; Pareschi, Lorenzo; Toscani, Giuseppe
2005
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
Relaxation schemes for nonlinear kinetic equations. Zbl 0897.76071
Gabetta, E.; Pareschi, L.; Toscani, G.
1997
Asymptotic preserving implicit-explicit Runge–Kutta methods for nonlinear kinetic equations. Zbl 1268.76055
Dimarco, Giacomo; Pareschi, Lorenzo
2013
Solving the Boltzmann equation in $$N \log_2 N$$. Zbl 1174.82012
Filbet, Francis; Mouhot, Clément; Pareschi, Lorenzo
2006
Fast spectral methods for the Fokker-Planck-Landau collision operator. Zbl 1052.82545
Pareschi, L.; Russo, G.; Toscani, G.
2000
Numerical schemes for hyperbolic systems of conservation laws with stiff diffusive relaxation. Zbl 0954.35109
Naldi, Giovanni; Pareschi, Lorenzo
2000
Time relaxed Monte Carlo methods for the Boltzmann equation. Zbl 1028.82016
Pareschi, Lorenzo; Russo, Giovanni
2001
Exponential Runge-Kutta methods for stiff kinetic equations. Zbl 1298.76150
Dimarco, Giacomo; Pareschi, Lorenzo
2011
Boltzmann-type control of opinion consensus through leaders. Zbl 1353.91038
Albi, G.; Pareschi, L.; Zanella, M.
2014
Kinetic description of optimal control problems and applications to opinion consensus. Zbl 1325.49001
Albi, Giacomo; Herty, Michael; Pareschi, Lorenzo
2015
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
Hybrid multiscale methods. II: Kinetic equations. Zbl 1185.65198
Dimarco, Giacomo; Pareschi, Lorenzo
2008
Discretization of the multiscale semiconductor Boltzmann equation by diffusive relaxation schemes. Zbl 1156.82408
Jin, Shi; Pareschi, Lorenzo
2000
An implicit Monte Carlo method for rarefied gas dynamics. I: The space homogeneous case. Zbl 0953.76075
Pareschi, Lorenzo; Caflisch, Russel E.
1999
The moment-guided Monte Carlo method. Zbl 1227.82061
Degond, Pierre; Dimarco, Giacomo; Pareschi, Lorenzo
2011
Self-similarity and power-like tails in nonconservative kinetic models. Zbl 1134.82037
Pareschi, Lorenzo; Toscani, Giuseppe
2006
An introduction to Monte Carlo methods for the Boltzmann equation. Zbl 0982.65145
Pareschi, Lorenzo; Russo, Giovanni
2001
Uncertainty quantification in control problems for flocking models. Zbl 1394.93074
Albi, Giacomo; Pareschi, Lorenzo; Zanella, Mattia
2015
Modeling of self-organized systems interacting with a few individuals: from microscopic to macroscopic dynamics. Zbl 1257.92048
Albi, G.; Pareschi, L.
2013
Numerical schemes for kinetic equations in diffusive regimes. Zbl 1337.65118
Naldi, G.; Pareschi, L.
1998
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
Fluid solver independent hybrid methods for multiscale kinetic equations. Zbl 1292.76051
Dimarco, Giacomo; Pareschi, Lorenzo
2010
Spectral methods for the non cut-off Boltzmann equation and numerical grazing collision limit. Zbl 1106.65324
Pareschi, L.; Toscani, G.; Villani, C.
2003
Central differencing based numerical schemes for hyperbolic conservation laws with relaxation terms. Zbl 1020.65048
Pareschi, Lorenzo
2001
Binary interaction algorithms for the simulation of flocking and swarming dynamics. Zbl 1274.92053
Albi, G.; Pareschi, L.
2013
On the stability of spectral methods for the homogeneous Boltzmann equation. Zbl 1019.82016
Pareschi, Lorenzo; Russo, Giovanni
2000
Wealth distribution and collective knowledge: a Boltzmann approach. Zbl 1353.91036
Pareschi, L.; Toscani, G.
2014
Structure preserving schemes for nonlinear Fokker-Planck equations and applications. Zbl 1395.65027
Pareschi, Lorenzo; Zanella, Mattia
2018
Modeling and computational methods for kinetic equations. Zbl 1054.76004
Degond, Pierre (ed.); Pareschi, Lorenzo (ed.); Russo, Giovanni (ed.)
2004
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
Opinion dynamics over complex networks: kinetic modelling and numerical methods. Zbl 1352.35195
Albi, Giacomo; Pareschi, Lorenzo; Zanella, Mattia
2017
Fokker-Planck asymptotics for traffic flow models. Zbl 1185.90036
Herty, Michael; Pareschi, Lorenzo
2010
Implicit-explicit Runge-Kutta schemes for the Boltzmann-Poisson system for semiconductors. Zbl 1373.82074
Dimarco, Giacomo; Pareschi, Lorenzo; Rispoli, Vittorio
2014
Exponential Runge-Kutta for the inhomogeneous Boltzmann equations with high order of accuracy. Zbl 1349.76707
Li, Qin; Pareschi, Lorenzo
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
High order asymptotic-preserving schemes for the Boltzmann equation. Zbl 1242.35185
Dimarco, Giacomo; Pareschi, Lorenzo
2012
High-order asymptotically strong-stability-preserving methods for hyperbolic systems with stiff relaxation. Zbl 1064.65105
Pareschi, Lorenzo; Russo, Giovanni
2003
A relaxation scheme for solving the Boltzmann equation based on the Chapman-Enskog expansion. Zbl 0998.82027
Jin, Shi; Pareschi, Lorenzo; Slemrod, Marshall
2002
Mesoscopic modelling of financial markets. Zbl 1168.82019
Cordier, Stephane; Pareschi, Lorenzo; Piatecki, Cyrille
2009
Accurate numerical methods for the collisional motion of (heated) granular flows. Zbl 1288.76056
Filbet, Francis; Pareschi, Lorenzo; Toscani, Giuseppe
2005
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
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
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
On the asymptotic properties of IMEX Runge-Kutta schemes for hyperbolic balance laws. Zbl 1375.65119
Boscarino, S.; Pareschi, L.
2017
A unified IMEX Runge-Kutta approach for hyperbolic systems with multiscale relaxation. Zbl 1372.65261
Boscarino, Sebastiano; Pareschi, Lorenzo; Russo, Giovanni
2017
On steady-state preserving spectral methods for homogeneous Boltzmann equations. Zbl 1315.35139
Filbet, Francis; Pareschi, Lorenzo; Rey, Thomas
2015
An introduction to the numerical analysis of the Boltzmann equation. Zbl 1152.82019
Pareschi, Lorenzo; Russo, Giovanni
2005
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
About the non cutoff Kac equation: Uniqueness and asymptotic behaviour. Zbl 0873.45006
Gabetta, E.; Pareschi, L.
1997
Uncertainty quantification for kinetic models in socio-economic and life sciences. Zbl 06983049
Dimarco, Giacomo; Pareschi, Lorenzo; Zanella, Mattia
2017
Kinetic models of collective decision-making in the presence of equality bias. Zbl 1400.91141
Pareschi, Lorenzo; Vellucci, Pierluigi; Zanella, Mattia
2017
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
Mean field mutation dynamics and the continuous Luria-Delbrück distribution. Zbl 1316.92051
Kashdan, Eugene; Pareschi, Lorenzo
2012
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
Enskog-like discrete velocity models for vehicular traffic flow. Zbl 1232.90131
Herty, Michael; Pareschi, Lorenzo; Seaïd, Mohammed
2007
Fast methods for the Boltzmann collision integral. Zbl 1054.76067
Mouhot, Clément; Pareschi, Lorenzo
2004
Implicit-explicit linear multistep methods for stiff kinetic equations. Zbl 1432.65131
Dimarco, Giacomo; Pareschi, Lorenzo
2017
Implicit-explicit Runge-Kutta schemes for numerical discretization of optimal control problems. Zbl 1287.65049
Herty, M.; Pareschi, L.; Steffensen, S.
2013
Direct simulation Monte Carlo schemes for Coulomb interactions in plasmas. Zbl 1329.82123
Dimarco, Giacomo; Caflisch, Russel; Pareschi, Lorenzo
2010
Adaptive and recursive time relaxed Monte Carlo methods for rarefied gas dynamics. Zbl 1252.76074
Trazzi, Stefano; Pareschi, Lorenzo; Wennberg, Bernt
2009
Modelling and numerical methods for the dynamics of impurities in a gas. Zbl 1152.76052
Ferrari, E.; Pareschi, L.
2008
Hybrid multiscale methods for hyperbolic and kinetic problems. Zbl 1087.65088
Pareschi, Lorenzo
2005
Quantum kinetic theory: modelling and numerics for Bose-Einstein condensation. Zbl 1106.82344
Bao, Weizhu; Pareschi, Lorenzo; Markowich, Peter A.
2004
Computational methods and fast algorithms for Boltzmann equations. Zbl 1221.76132
Pareschi, L.
2003
Uniformly accurate schemes for relaxation approximations to fluid dynamic equations. Zbl 1040.76047
Klar, A.; Pareschi, L.; Seaid, M.
2003
Hyperbolic relaxation approximation to nonlinear parabolic problems. Zbl 0928.35099
Naldi, Giovanni; Pareschi, Lorenzo; Toscani, Giuseppe
1999
Approximating the Broadwell model in a strip. Zbl 0763.76070
Gabetta, Ester; Pareschi, Lorenzo
1992
Hydrodynamic models of preference formation in multi-agent societies. Zbl 1427.35156
Pareschi, Lorenzo; Toscani, Giuseppe; Tosin, Andrea; Zanella, Mattia
2019
Asymptotic-preserving Monte Carlo methods for transport equations in the diffusive limit. Zbl 1383.65130
Dimarco, G.; Pareschi, L.; Samaey, G.
2018
Hybrid multiscale methods. I: Hyperbolic relaxation problems. Zbl 1185.65197
Dimarco, Giacomo; Pareschi, Lorenzo
2006
General kinetic models for vehicular traffic flows and Monte-Carlo methods. Zbl 1114.90011
Herty, M.; Klar, A.; Pareschi, L.
2005
Modelling and numerical methods for granular gases. Zbl 1106.82032
Pareschi, Lorenzo; Toscani, Giuseppe
2004
Movie Communication: Numerical solution of the Fokker-Planck-Landau equation by spectral methods. Zbl 1081.82601
Filbet, Francis; Pareschi, Lorenzo
2003
A precise computation of stress intensity factor on the front of a convex planar crack. Zbl 1022.74012
Ascenzi, Oscar; Pareschi, Lorenzo; Segala, Fausto
2002
A recursive Monte Carlo method for the Boltzmann equation in the Maxwellian case. Zbl 1093.82507
Pareschi, Lorenzo; Wennberg, Bernt
2001
Central schemes for hydrodynamical limits of discrete-velocity kinetic models. Zbl 1017.82044
Gabetta, E.; Pareschi, L.; Ronconi, M.
2000
Fast spectral methods for the Fokker-Planck-Landau equation. Zbl 0948.65146
Pareschi, Lorenzo; Russo, Giovanni; Toscani, Giuseppe
2000
Characteristic-based numerical schemes for hyperbolic systems with nonlinear relaxation. Zbl 0944.76057
Pareschi, Lorenzo
1998
Structure preserving schemes for mean-field equations of collective behavior. Zbl 1412.65087
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
Residual equilibrium schemes for time dependent partial differential equations. Zbl 1390.65092
Pareschi, Lorenzo; Rey, Thomas
2017
Uncertainty quantification for hyperbolic and kinetic equations. Zbl 1393.35003
Jin, Shi (ed.); Pareschi, Lorenzo (ed.)
2017
Implicit-explicit multistep methods for hyperbolic systems with multiscale relaxation. Zbl 07271916
Albi, Giacomo; Dimarco, Giacomo; Pareschi, Lorenzo
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
Structure preserving schemes for the continuum Kuramoto model: phase transitions. Zbl 1416.65028
Carrillo, José A.; Choi, Young-Pil; Pareschi, Lorenzo
2019
Hydrodynamic models of preference formation in multi-agent societies. Zbl 1427.35156
Pareschi, Lorenzo; Toscani, Giuseppe; Tosin, Andrea; Zanella, Mattia
2019
Boltzmann games in heterogeneous consensus dynamics. Zbl 1415.35219
Albi, Giacomo; Pareschi, Lorenzo; Zanella, Mattia
2019
Structure preserving schemes for nonlinear Fokker-Planck equations and applications. Zbl 1395.65027
Pareschi, Lorenzo; Zanella, Mattia
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
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
Selective model-predictive control for flocking systems. Zbl 1423.93113
Albi, Giacomo; Pareschi, Lorenzo
2018
Opinion dynamics over complex networks: kinetic modelling and numerical methods. Zbl 1352.35195
Albi, Giacomo; Pareschi, Lorenzo; Zanella, Mattia
2017
On the asymptotic properties of IMEX Runge-Kutta schemes for hyperbolic balance laws. Zbl 1375.65119
Boscarino, S.; Pareschi, L.
2017
A unified IMEX Runge-Kutta approach for hyperbolic systems with multiscale relaxation. Zbl 1372.65261
Boscarino, Sebastiano; Pareschi, Lorenzo; Russo, Giovanni
2017
Uncertainty quantification for kinetic models in socio-economic and life sciences. Zbl 06983049
Dimarco, Giacomo; Pareschi, Lorenzo; Zanella, Mattia
2017
Kinetic models of collective decision-making in the presence of equality bias. Zbl 1400.91141
Pareschi, Lorenzo; Vellucci, Pierluigi; Zanella, Mattia
2017
Implicit-explicit linear multistep methods for stiff kinetic equations. Zbl 1432.65131
Dimarco, Giacomo; Pareschi, Lorenzo
2017
Residual equilibrium schemes for time dependent partial differential equations. Zbl 1390.65092
Pareschi, Lorenzo; Rey, Thomas
2017
Uncertainty quantification for hyperbolic and kinetic equations. Zbl 1393.35003
Jin, Shi (ed.); Pareschi, Lorenzo (ed.)
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. 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
Implicit-explicit Runge-Kutta schemes for the Boltzmann-Poisson system for semiconductors. Zbl 1373.82074
Dimarco, Giacomo; Pareschi, Lorenzo; Rispoli, Vittorio
2014
Exponential Runge-Kutta for the inhomogeneous Boltzmann equations with high order of accuracy. Zbl 1349.76707
Li, Qin; Pareschi, Lorenzo
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
Modeling of self-organized systems interacting with a few individuals: from microscopic to macroscopic dynamics. Zbl 1257.92048
Albi, G.; Pareschi, L.
2013
Binary interaction algorithms for the simulation of flocking and swarming dynamics. Zbl 1274.92053
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
Naldi, Giovanni (ed.); Pareschi, Lorenzo (ed.); Toscani, Giuseppe (ed.)
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
Degond, Pierre (ed.); Pareschi, Lorenzo (ed.); Russo, Giovanni (ed.)
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 new Monte Carlo approach for conservation laws and relaxation systems. Zbl 1080.65506
Pareschi, L.; Seaïd, M.
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 kinetic approximation of Hele-Shaw flow. Zbl 1036.35071
Pareschi, Lorenzo; Russo, Giovanni; Toscani, Giuseppe
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
Computational methods and fast algorithms for Boltzmann equations. Zbl 1221.76132
Pareschi, L.
2003
Uniformly accurate schemes for relaxation approximations to fluid dynamic equations. Zbl 1040.76047
Klar, A.; Pareschi, L.; Seaid, M.
2003
Movie Communication: Numerical solution of the Fokker-Planck-Landau equation by spectral methods. Zbl 1081.82601
Filbet, Francis; Pareschi, Lorenzo
2003
On the fast evaluation of kinetic equations for driven granular flows. Zbl 1254.76157
Pareschi, L.
2003
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
A relaxation scheme for solving the Boltzmann equation based on the Chapman-Enskog expansion. Zbl 0998.82027
Jin, Shi; Pareschi, Lorenzo; Slemrod, Marshall
2002
Relaxation schemes for partial differential equations and applications to degenerate diffusion problems. Zbl 1028.35104
Naldi, Giovanni; Pareschi, Lorenzo; Toscani, Giuseppe
2002
A precise computation of stress intensity factor on the front of a convex planar crack. Zbl 1022.74012
Ascenzi, Oscar; Pareschi, Lorenzo; Segala, Fausto
2002
Implicit-explicit Runge-Kutta schemes for stiff systems of differential equations. Zbl 1018.65093
Pareschi, Lorenzo; Russo, Giovanni
2001
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
Central differencing based numerical schemes for hyperbolic conservation laws with relaxation terms. Zbl 1020.65048
Pareschi, Lorenzo
2001
A recursive Monte Carlo method for the Boltzmann equation in the Maxwellian case. Zbl 1093.82507
Pareschi, Lorenzo; Wennberg, Bernt
2001
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
Fast spectral methods for the Fokker-Planck-Landau collision operator. Zbl 1052.82545
Pareschi, L.; Russo, G.; Toscani, G.
2000
Numerical schemes for hyperbolic systems of conservation laws with stiff diffusive relaxation. Zbl 0954.35109
Naldi, Giovanni; Pareschi, Lorenzo
2000
Discretization of the multiscale semiconductor Boltzmann equation by diffusive relaxation schemes. Zbl 1156.82408
Jin, Shi; Pareschi, Lorenzo
2000
On the stability of spectral methods for the homogeneous Boltzmann equation. Zbl 1019.82016
Pareschi, Lorenzo; Russo, Giovanni
2000
Asymptotic preserving Monte Carlo methods for the Boltzmann equation. Zbl 1028.82019
Pareschi, Lorenzo; Russo, Giovanni
2000
...and 14 more Documents
all top 5

#### Cited by 1,044 Authors

 59 Pareschi, Lorenzo 36 Toscani, Giuseppe 24 Dimarco, Giacomo 24 Jin, Shi 17 Bellomo, Nicola 17 Herty, Michael Matthias 15 Hu, Jingwei 15 Mieussens, Luc 15 Russo, Giovanni 14 Carrillo de la Plata, José Antonio 14 Degond, Pierre 14 Martínez Gamba, Irene 14 Ha, Seung-Yeal 14 Puppo, Gabriella 13 Albi, Giacomo 13 Filbet, Francis 13 Zanella, Mattia 12 Klar, Axel 11 Banda, Mapundi Kondwani 11 Xu, Kun 10 Choi, Young-Pil 10 Samaey, Giovanni 9 Boscarino, Sebastiano 9 Lemou, Mohammed 9 Natalini, Roberto 9 Tosin, Andrea 9 Wu, Lei 8 Loubère, Raphaël 8 Rey, Thomas 8 Seaïd, Mohammed 8 Zhang, Yonghao 7 Brezzi, Franco 7 Hauck, Cory D. 7 Higueras, Inmaculada 7 Jackiewicz, Zdzislaw 7 Li, Qin 7 Liu, Liu 7 Mulet, Pep 7 Soler, Juan S. 6 Buet, Christophe 6 Bürger, Raimund 6 Cordier, Stéphane 6 Crouseilles, Nicolas 6 Gabetta, Ester 6 Gibelli, Livio 6 Gosse, Laurent 6 Iollo, Angelo 6 Knopoff, Damian A. 6 Liu, Jianguo 6 Lu, Xuguang 6 Reese, Jason M. 6 Sandu, Adrian 6 Shu, Chi-Wang 6 Wang, Li 6 Wolfram, Marie-Therese 5 Bobylev, Alexandre Vasiljévitch 5 Cai, Zhenning 5 Cheng, Yingda 5 Chertock, Alina E. 5 Furioli, Giulia 5 Haskovec, Jan 5 Kurganov, Alexander 5 Lafitte, Pauline 5 Lukáčová-Medvid’ová, Mária 5 Pirner, Marlies 5 Pulvirenti, Ada 5 Qiu, Jingmei 5 Schütz, Jochen 5 Terraneo, Elide 5 Vignal, Marie-Hélène 5 Villada, Luis Miguel 5 Visconti, Giuseppe 5 Yun, Seok-Bae 4 Alekseenko, Alexander M. 4 Bassetti, Federico 4 Bernard, Florian 4 Borsche, Raul 4 Caflisch, Russel E. 4 Delis, Argiris I. 4 Dolfin, Marina 4 Haack, Jeffrey R. 4 Hivert, Hélène 4 Huang, Juntao 4 Jiang, Song 4 Jung, Jinwook 4 Jüngel, Ansgar 4 Lachowicz, Mirosław 4 Lu, Jianfeng 4 Mathiaud, Julien 4 Melis, Ward 4 Park, Hansol 4 Rjasanow, Sergej 4 Segala, Fausto 4 Shadid, John N. 4 Struchtrup, Henning 4 Sun, Wenjun 4 Torrilhon, Manuel 4 Wennberg, Bernt 4 Zelik, Sergey V. 4 Zhang, Hong ...and 944 more Authors
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#### Cited in 139 Serials

 157 Journal of Computational Physics 60 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 41 Journal of Scientific Computing 40 Journal of Statistical Physics 35 Kinetic and Related Models 31 SIAM Journal on Scientific Computing 25 Applied Numerical Mathematics 20 Journal of Computational and Applied Mathematics 19 Multiscale Modeling & Simulation 16 Computers and Fluids 15 Computers & Mathematics with Applications 13 Transport Theory and Statistical Physics 13 Networks and Heterogeneous Media 11 SIAM Journal on Numerical Analysis 10 Mathematics of Computation 9 Applied Mathematics and Computation 8 Numerische Mathematik 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 SIAM Journal on Applied Mathematics 6 Journal of Differential Equations 6 SMAI Journal of Computational Mathematics 5 Computer Methods in Applied Mechanics and Engineering 5 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 5 European Journal of Mechanics. B. Fluids 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Numerical Methods for Partial Differential Equations 4 Applied Mathematics Letters 4 Applied Mathematical Modelling 4 SIAM Journal on Mathematical Analysis 4 Stochastic Processes and their Applications 4 Discrete and Continuous Dynamical Systems 4 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 4 Nonlinear Analysis. Real World Applications 3 Archive for Rational Mechanics and Analysis 3 Communications in Mathematical Physics 3 Journal of Mathematical Analysis and Applications 3 Physica A 3 International Journal for Numerical Methods in Engineering 3 Transactions of the American Mathematical Society 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Physica D 3 Numerical Algorithms 3 Communications in Nonlinear Science and Numerical Simulation 3 Discrete and Continuous Dynamical Systems. Series B 3 Communications in Applied and Industrial Mathematics 3 SIAM/ASA Journal on Uncertainty Quantification 2 International Journal of Control 2 International Journal for Numerical Methods in Fluids 2 Journal of Fluid Mechanics 2 Journal of Mathematical Biology 2 Journal of Mathematical Physics 2 Mathematical Biosciences 2 Bulletin of Mathematical Biology 2 Automatica 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Proceedings of the American Mathematical Society 2 European Journal of Applied Mathematics 2 Communications in Partial Differential Equations 2 International Journal of Computer Mathematics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Journal of Nonlinear Science 2 Continuum Mechanics and Thermodynamics 2 Physics of Fluids 2 Journal of Mathematical Sciences (New York) 2 Mathematical Problems in Engineering 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 2 Vietnam Journal of Mathematics 2 Chaos 2 Journal of Mathematical Fluid Mechanics 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Acta Numerica 2 Mathematical Biosciences and Engineering 2 Acta Mechanica Sinica 1 International Journal of Modern Physics B 1 Acta Mechanica 1 Applicable Analysis 1 Communications on Pure and Applied Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 International Journal of Solids and Structures 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Physics Letters. A 1 Physics Reports 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Applied Mathematics and Optimization 1 Calcolo 1 Inventiones Mathematicae 1 Journal of Functional Analysis 1 Journal of Optimization Theory and Applications 1 Mathematics and Computers in Simulation 1 Memoirs of the American Mathematical Society 1 Rendiconti del Seminario Matematico della Università di Padova 1 SIAM Journal on Control and Optimization 1 Acta Applicandae Mathematicae 1 Bulletin of the Iranian Mathematical Society 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Acta Mathematicae Applicatae Sinica. English Series 1 Probability Theory and Related Fields 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 The Annals of Applied Probability ...and 39 more Serials
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#### Cited in 39 Fields

 372 Numerical analysis (65-XX) 346 Partial differential equations (35-XX) 314 Fluid mechanics (76-XX) 279 Statistical mechanics, structure of matter (82-XX) 87 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 73 Biology and other natural sciences (92-XX) 43 Probability theory and stochastic processes (60-XX) 40 Ordinary differential equations (34-XX) 30 Operations research, mathematical programming (90-XX) 27 Calculus of variations and optimal control; optimization (49-XX) 25 Integral equations (45-XX) 19 Systems theory; control (93-XX) 17 Optics, electromagnetic theory (78-XX) 16 Dynamical systems and ergodic theory (37-XX) 11 Mechanics of deformable solids (74-XX) 9 Classical thermodynamics, heat transfer (80-XX) 8 Statistics (62-XX) 8 Geophysics (86-XX) 7 Approximations and expansions (41-XX) 7 Computer science (68-XX) 6 Astronomy and astrophysics (85-XX) 6 Information and communication theory, circuits (94-XX) 5 Quantum theory (81-XX) 4 General and overarching topics; collections (00-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Mechanics of particles and systems (70-XX) 3 Combinatorics (05-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Operator theory (47-XX) 2 Real functions (26-XX) 2 Difference and functional equations (39-XX) 2 Integral transforms, operational calculus (44-XX) 1 Mathematical logic and foundations (03-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Differential geometry (53-XX) 1 Relativity and gravitational theory (83-XX) 1 Mathematics education (97-XX)

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