Edit Profile (opens in new tab) Pareschi, Lorenzo Co-Author Distance Author ID: pareschi.lorenzo Published as: Pareschi, Lorenzo; Pareschi, L. Homepage: http://www.lorenzopareschi.it/ External Links: MGP · ORCID · Wikidata · Google Scholar · dblp · GND · IdRef Documents Indexed: 182 Publications since 1991, including 2 Books and 13 Additional arXiv Preprints 8 Contributions as Editor Co-Authors: 96 Co-Authors with 181 Joint Publications 3,414 Co-Co-Authors all top 5 Co-Authors 9 single-authored 28 Toscani, Giuseppe 23 Dimarco, Giacomo 21 Russo, Giovanni 20 Zanella, Mattia 17 Albi, Giacomo 16 Herty, Michael Matthias 10 Bertaglia, Giulia 9 Gabetta, Ester 8 Naldi, Giovanni 7 Borghi, Giacomo 7 Jin, Shi 6 Boscarino, Sebastiano 6 Boscheri, Walter 6 Rey, Thomas 6 Seaïd, Mohammed 5 Filbet, Francis 4 Caflisch, Russel E. 4 Carrillo de la Plata, José Antonio 4 Huang, Hui 4 Klar, Axel 4 Mouhot, Clément 4 Steffensen, Sonja 4 Zhu, Xueyu 3 Cordier, Stéphane 3 Fornasier, Massimo 3 Grassi, Sara 3 Hu, Jingwei 3 Liu, Liu 3 Sünnen, Philippe 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 Li, Qin 2 Lu, Hanqing 2 Maldarella, Dario 2 Markowich, Peter Alexander 2 Medaglia, Andrea 2 Piatecki, Cyrille 2 Segala, Fausto 2 Trazzi, Stefano 2 Trimborn, Torsten 2 Wennberg, Bernt 1 Atangana, Abdon 1 Bao, Weizhu 1 Bellomo, Nicola 1 Benfenati, Alessandro 1 Boccabella, Astridh 1 Bondesan, Andrea 1 Brull, Stephane 1 Burini, Diletta 1 Caleffi, Valerio 1 Carrillo Antonio, José 1 Choi, Young-Pil 1 Comincioli, Valeriano 1 Düring, Bertram 1 Eftimie, Raluca 1 Fermo, Luisa 1 Ferrarese, Federica 1 Franceschi, Jonathan 1 Izquierdo, M. R. 1 Izzo, Giuseppe 1 Jörres, Christian 1 Kashdan, Eugene 1 Kim, Jeongho 1 Kukreja, Vijay Kumar 1 Laidin, Tino 1 Lu, Chuan 1 Mantas Ruiz, José Miguel 1 Massó, Joan 1 Miñano, Borja 1 Natalini, Roberto 1 Ortega Lopera, Julio 1 Palenzuela, Carlos 1 Perthame, Benoît 1 Piccoli, Benedetto 1 Poyato, David 1 Puppo, Gabriella 1 Qiu, Jinniao 1 Rispoli, Vittorio 1 Ronconi, M. Cristina 1 Sahoo, Bikash 1 Sharma, Rajesh Kumar 1 Shu, Chi-Wang 1 Slemrod, Marshall 1 Soler, Juan S. 1 Tavelli, Maurizio 1 Tosin, Andrea 1 Valiani, Alessandro 1 Vellucci, Pierluigi 1 Villani, Cédric 1 Visconti, Giuseppe 1 Wang, Yubo all top 5 Serials 15 Journal of Computational Physics 12 SIAM Journal on Numerical Analysis 10 SIAM Journal on Scientific Computing 9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 6 Transport Theory and Statistical Physics 6 Multiscale Modeling & Simulation 5 Applied Mathematics Letters 5 Journal of Scientific Computing 5 Networks and Heterogeneous Media 4 Journal of Statistical Physics 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 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 Applied Mathematics and Optimization 2 Journal of Computational and Applied Mathematics 2 Numerische Mathematik 2 SIAM Journal on Optimization 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 Mathematical Biosciences and Engineering 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 Classical and Quantum Gravity 1 Journal of Mathematical Biology 1 Mathematical Biosciences 1 Physica A 1 International Journal for Numerical Methods in Engineering 1 Le Matematiche 1 Acta Applicandae Mathematicae 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 Machine Learning Research (JMLR) 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 Mathematical Modeling and Computation 1 The European Physical Journal B. Condensed Matter and Complex Systems 1 International Journal for Uncertainty Quantification 1 Springer Proceedings in Mathematics & Statistics 1 SIAM/ASA Journal on Uncertainty Quantification 1 SEMA SIMAI Springer Series 1 Matematica, Cultura e Società. Rivista dell’Unione Matematica Italiana. Serie I 1 SN Partial Differential Equations and Applications all top 5 Fields 112 Numerical analysis (65-XX) 78 Statistical mechanics, structure of matter (82-XX) 73 Partial differential equations (35-XX) 73 Fluid mechanics (76-XX) 23 Biology and other natural sciences (92-XX) 22 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 14 Operations research, mathematical programming (90-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 8 General and overarching topics; collections (00-XX) 7 Integral equations (45-XX) 7 Computer science (68-XX) 6 Probability theory and stochastic processes (60-XX) 6 Mechanics of deformable solids (74-XX) 6 Systems theory; control (93-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 155 Publications have been cited 3,917 times in 1,636 Documents Cited by ▼ Year ▼ Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation. Zbl 1203.65111 Pareschi, Lorenzo; Russo, Giovanni 307 2005 Numerical methods for kinetic equations. Zbl 1398.65260 Dimarco, G.; Pareschi, L. 186 2014 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. 155 2019 Interacting multiagent systems. Kinetic equations and Monte Carlo methods. Zbl 1330.93004 Pareschi, Lorenzo; Toscani, Giuseppe 126 2014 Uniformly accurate diffusive relaxation schemes for multiscale transport equations. Zbl 0976.65091 Jin, Shi; Pareschi, Lorenzo; Toscani, Giuseppe 115 2000 Mathematical modeling of collective behavior in socio-economic and life sciences. Zbl 1200.91010 112 2010 Implicit-explicit Runge–Kutta schemes for hyperbolic systems and kinetic equations in the diffusion limit. Zbl 1264.65150 Boscarino, S.; Pareschi, L.; Russo, G. 111 2013 Fast algorithms for computing the Boltzmann collision operator. Zbl 1105.76043 Mouhot, Clément; Pareschi, Lorenzo 100 2006 Numerical solution of the Boltzmann equation. I: Spectrally accurate approximation of the collision operator. Zbl 1049.76055 Pareschi, Lorenzo; Russo, Giovanni 98 2000 Diffusive relaxation schemes for multiscale discrete-velocity kinetic equations. Zbl 0938.35097 Jin, Shi; Pareschi, Lorenzo; Toscani, Giuseppe 95 1998 On a kinetic model for a simple market economy. Zbl 1133.91474 Cordier, Stephane; Pareschi, Lorenzo; Toscani, Giuseppe 90 2005 A Fourier spectral method for homogeneous Boltzmann equations. Zbl 0870.76074 Pareschi, Lorenzo; Perthame, Benoit 71 1996 Asymptotic preserving implicit-explicit Runge–Kutta methods for nonlinear kinetic equations. Zbl 1268.76055 Dimarco, Giacomo; Pareschi, Lorenzo 70 2013 Implicit-explicit Runge-Kutta schemes for stiff systems of differential equations. Zbl 1018.65093 Pareschi, Lorenzo; Russo, Giovanni 68 2001 Boltzmann-type control of opinion consensus through leaders. Zbl 1353.91038 Albi, G.; Pareschi, L.; Zanella, M. 61 2014 Solving the Boltzmann equation in \(N \log_2 N\). Zbl 1174.82012 Filbet, Francis; Mouhot, Clément; Pareschi, Lorenzo 60 2006 Exponential Runge-Kutta methods for stiff kinetic equations. Zbl 1298.76150 Dimarco, Giacomo; Pareschi, Lorenzo 56 2011 Fast spectral methods for the Fokker-Planck-Landau collision operator. Zbl 1052.82545 Pareschi, L.; Russo, G.; Toscani, G. 54 2000 Relaxation schemes for nonlinear kinetic equations. Zbl 0897.76071 Gabetta, E.; Pareschi, L.; Toscani, G. 51 1997 Binary interaction algorithms for the simulation of flocking and swarming dynamics. Zbl 1274.92053 Albi, G.; Pareschi, L. 51 2013 An introduction to Monte Carlo methods for the Boltzmann equation. Zbl 0982.65145 Pareschi, Lorenzo; Russo, Giovanni 51 2001 Kinetic description of optimal control problems and applications to opinion consensus. Zbl 1325.49001 Albi, Giacomo; Herty, Michael; Pareschi, Lorenzo 47 2015 Structure preserving schemes for nonlinear Fokker-Planck equations and applications. Zbl 1395.65027 Pareschi, Lorenzo; Zanella, Mattia 47 2018 Time relaxed Monte Carlo methods for the Boltzmann equation. Zbl 1028.82016 Pareschi, Lorenzo; Russo, Giovanni 43 2001 The moment-guided Monte Carlo method. Zbl 1227.82061 Degond, Pierre; Dimarco, Giacomo; Pareschi, Lorenzo 41 2011 Particle based gPC methods for mean-field models of swarming with uncertainty. Zbl 1473.65252 Carrillo Antonio, José; Pareschi, Lorenzo; Zanella, Mattia 40 2019 A unified IMEX Runge-Kutta approach for hyperbolic systems with multiscale relaxation. Zbl 1372.65261 Boscarino, Sebastiano; Pareschi, Lorenzo; Russo, Giovanni 39 2017 A numerical method for the accurate solution of the Fokker-Planck-Landau equation in the nonhomogeneous case. Zbl 1003.82011 Filbet, Francis; Pareschi, Lorenzo 39 2002 Uncertainty quantification in control problems for flocking models. Zbl 1394.93074 Albi, Giacomo; Pareschi, Lorenzo; Zanella, Mattia 38 2015 Wealth distribution and collective knowledge: a Boltzmann approach. Zbl 1353.91036 Pareschi, L.; Toscani, G. 36 2014 High order pressure-based semi-implicit IMEX schemes for the 3D Navier-Stokes equations at all Mach numbers. Zbl 07508522 Boscheri, Walter; Pareschi, Lorenzo 36 2021 Modeling and computational methods for kinetic equations. Zbl 1054.76004 36 2004 Numerical schemes for hyperbolic systems of conservation laws with stiff diffusive relaxation. Zbl 0954.35109 Naldi, Giovanni; Pareschi, Lorenzo 35 2000 Modeling of self-organized systems interacting with a few individuals: from microscopic to macroscopic dynamics. Zbl 1257.92048 Albi, G.; Pareschi, L. 34 2013 Hybrid multiscale methods. II: Kinetic equations. Zbl 1185.65198 Dimarco, Giacomo; Pareschi, Lorenzo 33 2008 Opinion dynamics over complex networks: kinetic modelling and numerical methods. Zbl 1352.35195 Albi, Giacomo; Pareschi, Lorenzo; Zanella, Mattia 32 2017 Consensus-based optimization on hypersurfaces: well-posedness and mean-field limit. Zbl 1467.90039 Fornasier, Massimo; Huang, Hui; Pareschi, Lorenzo; Sünnen, Philippe 31 2020 Numerical schemes for kinetic equations in diffusive regimes. Zbl 1337.65118 Naldi, G.; Pareschi, L. 29 1998 Discretization of the multiscale semiconductor Boltzmann equation by diffusive relaxation schemes. Zbl 1156.82408 Jin, Shi; Pareschi, Lorenzo 28 2000 An implicit Monte Carlo method for rarefied gas dynamics. I: The space homogeneous case. Zbl 0953.76075 Pareschi, Lorenzo; Caflisch, Russel E. 28 1999 Fokker-Planck asymptotics for traffic flow models. Zbl 1185.90036 Herty, Michael; Pareschi, Lorenzo 28 2010 On the asymptotic properties of IMEX Runge-Kutta schemes for hyperbolic balance laws. Zbl 1375.65119 Boscarino, S.; Pareschi, L. 28 2017 Fluid solver independent hybrid methods for multiscale kinetic equations. Zbl 1292.76051 Dimarco, Giacomo; Pareschi, Lorenzo 27 2010 Exponential Runge-Kutta for the inhomogeneous Boltzmann equations with high order of accuracy. Zbl 1349.76707 Li, Qin; Pareschi, Lorenzo 25 2014 Self-similarity and power-like tails in nonconservative kinetic models. Zbl 1134.82037 Pareschi, Lorenzo; Toscani, Giuseppe 25 2006 Hyperbolic models for the spread of epidemics on networks: kinetic description and numerical methods. Zbl 1472.65105 Bertaglia, Giulia; Pareschi, Lorenzo 25 2021 Uncertainty quantification for hyperbolic and kinetic equations. Zbl 1393.35003 24 2017 On the stability of spectral methods for the homogeneous Boltzmann equation. Zbl 1019.82016 Pareschi, Lorenzo; Russo, Giovanni 24 2000 Implicit-explicit linear multistep methods for stiff kinetic equations. Zbl 1432.65131 Dimarco, Giacomo; Pareschi, Lorenzo 23 2017 Spectral methods for the non cut-off Boltzmann equation and numerical grazing collision limit. Zbl 1106.65324 Pareschi, L.; Toscani, G.; Villani, C. 23 2003 High order asymptotic-preserving schemes for the Boltzmann equation. Zbl 1242.35185 Dimarco, Giacomo; Pareschi, Lorenzo 22 2012 Control with uncertain data of socially structured compartmental epidemic models. Zbl 1467.92167 Albi, Giacomo; Pareschi, Lorenzo; Zanella, Mattia 21 2021 Convolutive decomposition and fast summation methods for discrete-velocity approximations of the Boltzmann equation. Zbl 1311.76111 Mouhot, Clément; Pareschi, Lorenzo; Rey, Thomas 20 2013 Central differencing based numerical schemes for hyperbolic conservation laws with relaxation terms. Zbl 1020.65048 Pareschi, Lorenzo 20 2001 Modeling and simulating the spatial spread of an epidemic through multiscale kinetic transport equations. Zbl 1473.92006 Boscheri, Walter; Dimarco, Giacomo; Pareschi, Lorenzo 19 2021 Mesoscopic modelling of financial markets. Zbl 1168.82019 Cordier, Stephane; Pareschi, Lorenzo; Piatecki, Cyrille 19 2009 Uncertainty quantification for kinetic models in socio-economic and life sciences. Zbl 1459.65207 Dimarco, Giacomo; Pareschi, Lorenzo; Zanella, Mattia 19 2017 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 19 2021 Consensus-based optimization on the sphere: convergence to global minimizers and machine learning. Zbl 07626752 Fornasier, Massimo; Pareschi, Lorenzo; Huang, Hui; Sünnen, Philippe 19 2021 Multi-scale control variate methods for uncertainty quantification in kinetic equations. Zbl 1452.65005 Dimarco, Giacomo; Pareschi, Lorenzo 18 2019 Numerical solution of the Boltzmann equation by time relaxed Monte Carlo (TRMC) methods. Zbl 1139.76334 Pareschi, Lorenzo; Trazzi, Stefano 17 2005 High-order asymptotically strong-stability-preserving methods for hyperbolic systems with stiff relaxation. Zbl 1064.65105 Pareschi, Lorenzo; Russo, Giovanni 17 2003 From particle swarm optimization to consensus based optimization: stochastic modeling and mean-field limit. Zbl 1473.35570 Grassi, Sara; Pareschi, Lorenzo 17 2021 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 17 2018 Asymptotic preserving Monte Carlo methods for the Boltzmann equation. Zbl 1028.82019 Pareschi, Lorenzo; Russo, Giovanni 17 2000 Hydrodynamic models of preference formation in multi-agent societies. Zbl 1427.35156 Pareschi, Lorenzo; Toscani, Giuseppe; Tosin, Andrea; Zanella, Mattia 17 2019 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 16 2015 Fast conservative and entropic numerical methods for the boson Boltzmann equation. Zbl 1204.82031 Markowich, Peter A.; Pareschi, Lorenzo 15 2005 Central Runge-Kutta schemes for conservation laws. Zbl 1077.65094 Pareschi, Lorenzo; Puppo, Gabriella; Russo, Giovanni 15 2005 Implicit-explicit Runge-Kutta schemes for the Boltzmann-Poisson system for semiconductors. Zbl 1373.82074 Dimarco, Giacomo; Pareschi, Lorenzo; Rispoli, Vittorio 15 2014 Asymptotic-preserving Monte Carlo methods for transport equations in the diffusive limit. Zbl 1383.65130 Dimarco, G.; Pareschi, L.; Samaey, G. 14 2018 Kinetic models for optimal control of wealth inequalities. Zbl 1515.91070 Düring, Bertram; Pareschi, Lorenzo; Toscani, Giuseppe 14 2018 Kinetic models of collective decision-making in the presence of equality bias. Zbl 1400.91141 Pareschi, Lorenzo; Vellucci, Pierluigi; Zanella, Mattia 14 2017 Kinetic modelling of epidemic dynamics: social contacts, control with uncertain data, and multiscale spatial dynamics. Zbl 1504.92109 Albi, Giacomo; Bertaglia, Giulia; Boscheri, Walter; Dimarco, Giacomo; Pareschi, Lorenzo; Toscani, Giuseppe; Zanella, Mattia 14 2022 Implicit-explicit multistep methods for hyperbolic systems with multiscale relaxation. Zbl 1455.65126 Albi, Giacomo; Dimarco, Giacomo; Pareschi, Lorenzo 14 2020 Mean-field control and Riccati equations. Zbl 1332.35372 Herty, Michael; Pareschi, Lorenzo; Steffensen, Sonja 13 2015 Spatial spread of COVID-19 outbreak in Italy using multiscale kinetic transport equations with uncertainty. Zbl 1501.92144 Bertaglia, Giulia; Boscheri, Walter; Dimarco, Giacomo; Pareschi, Lorenzo 13 2021 Monte Carlo stochastic Galerkin methods for the Boltzmann equation with uncertainties: space-homogeneous case. Zbl 07508427 Pareschi, L.; Zanella, M. 13 2020 Structure preserving schemes for the continuum Kuramoto model: phase transitions. Zbl 1416.65028 Carrillo, José A.; Choi, Young-Pil; Pareschi, Lorenzo 13 2019 Residual equilibrium schemes for time dependent partial differential equations. Zbl 1390.65092 Pareschi, Lorenzo; Rey, Thomas 12 2017 Multiscale variance reduction methods based on multiple control variates for kinetic equations with uncertainties. Zbl 1433.76150 Dimarco, Giacomo; Pareschi, Lorenzo 12 2020 Selective model-predictive control for flocking systems. Zbl 1423.93113 Albi, Giacomo; Pareschi, Lorenzo 11 2018 A relaxation scheme for solving the Boltzmann equation based on the Chapman-Enskog expansion. Zbl 0998.82027 Jin, Shi; Pareschi, Lorenzo; Slemrod, Marshall 11 2002 Accurate numerical methods for the collisional motion of (heated) granular flows. Zbl 1288.76056 Filbet, Francis; Pareschi, Lorenzo; Toscani, Giuseppe 11 2005 Compressible and incompressible limits for hyperbolic systems with relaxation. Zbl 1058.76035 Banda, M. K.; Seaïd, M.; Klar, A.; Pareschi, L. 10 2004 Anisotropic diffusion in consensus-based optimization on the sphere. Zbl 1509.65047 Fornasier, Massimo; Huang, Hui; Pareschi, Lorenzo; Sünnen, Philippe 9 2022 Implicit-explicit Runge-Kutta schemes for numerical discretization of optimal control problems. Zbl 1287.65049 Herty, M.; Pareschi, L.; Steffensen, S. 9 2013 Relaxation schemes for partial differential equations and applications to degenerate diffusion problems. Zbl 1028.35104 Naldi, Giovanni; Pareschi, Lorenzo; Toscani, Giuseppe 9 2002 Modelling lockdown measures in epidemic outbreaks using selective socio-economic containment with uncertainty. Zbl 1501.92136 Albi, Giacomo; Pareschi, Lorenzo; Zanella, Mattia 8 2021 Bi-fidelity stochastic collocation methods for epidemic transport models with uncertainties. Zbl 1498.65016 Bertaglia, Giulia; Liu, Liu; Pareschi, Lorenzo; Zhu, Xueyu 8 2022 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 8 2021 Dissipative hydrodynamic models for the diffusion of impurities in a gas. Zbl 1173.82352 Brull, Stephane; Pareschi, Lorenzo 8 2006 Enskog-like discrete velocity models for vehicular traffic flow. Zbl 1232.90131 Herty, Michael; Pareschi, Lorenzo; Seaïd, Mohammed 8 2007 An introduction to the numerical analysis of the Boltzmann equation. Zbl 1152.82019 Pareschi, Lorenzo; Russo, Giovanni 8 2005 Discrete-velocity models and relaxation schemes for traffic flows. Zbl 1344.65081 Herty, Michael; Pareschi, Lorenzo; Seaid, Mohammed 8 2006 Moment preserving Fourier-Galerkin spectral methods and application to the Boltzmann equation. Zbl 1511.76073 Pareschi, Lorenzo; Rey, Thomas 8 2022 Portfolio optimization and model predictive control: A kinetic approach. Zbl 1426.91257 Trimborn, Torsten; Pareschi, Lorenzo; Frank, Martin 8 2019 Spectral methods for one-dimensional kinetic models of granular flows and numerical quasi-elastic limit. Zbl 1046.76034 Naldi, Giovanni; Pareschi, Lorenzo; Toscani, Giuseppe 8 2003 Direct simulation Monte Carlo schemes for Coulomb interactions in plasmas. Zbl 1329.82123 Dimarco, Giacomo; Caflisch, Russel; Pareschi, Lorenzo 7 2010 About the non cutoff Kac equation: Uniqueness and asymptotic behaviour. Zbl 0873.45006 Gabetta, E.; Pareschi, L. 7 1997 New trends on the systems approach to modeling SARS-CoV-2 pandemics in a globally connected planet. Zbl 07938961 Bertaglia, Giulia; Bondesan, Andrea; Burini, Diletta; Eftimie, Raluca; Pareschi, Lorenzo; Toscani, Giuseppe 1 2024 Constrained consensus-based optimization. Zbl 1517.35227 Borghi, Giacomo; Herty, Michael; Pareschi, Lorenzo 7 2023 An adaptive consensus based method for multi-objective optimization with uniform Pareto front approximation. Zbl 07730259 Borghi, Giacomo; Herty, Michael; Pareschi, Lorenzo 5 2023 Locally structure-preserving div-curl operators for high order discontinuous Galerkin schemes. Zbl 07788135 Boscheri, Walter; Dimarco, Giacomo; Pareschi, Lorenzo 5 2023 Stochastic Galerkin particle methods for kinetic equations of plasmas with uncertainties. Zbl 07660364 Medaglia, Andrea; Pareschi, Lorenzo; Zanella, Mattia 3 2023 Kinetic modelling of epidemic dynamics: social contacts, control with uncertain data, and multiscale spatial dynamics. Zbl 1504.92109 Albi, Giacomo; Bertaglia, Giulia; Boscheri, Walter; Dimarco, Giacomo; Pareschi, Lorenzo; Toscani, Giuseppe; Zanella, Mattia 14 2022 Anisotropic diffusion in consensus-based optimization on the sphere. Zbl 1509.65047 Fornasier, Massimo; Huang, Hui; Pareschi, Lorenzo; Sünnen, Philippe 9 2022 Bi-fidelity stochastic collocation methods for epidemic transport models with uncertainties. Zbl 1498.65016 Bertaglia, Giulia; Liu, Liu; Pareschi, Lorenzo; Zhu, Xueyu 8 2022 Moment preserving Fourier-Galerkin spectral methods and application to the Boltzmann equation. Zbl 1511.76073 Pareschi, Lorenzo; Rey, Thomas 8 2022 Binary interaction methods for high dimensional global optimization and machine learning. Zbl 1489.90132 Benfenati, Alessandro; Borghi, Giacomo; Pareschi, Lorenzo 7 2022 Asymptotic-preserving neural networks for multiscale hyperbolic models of epidemic spread. Zbl 1512.92094 Bertaglia, Giulia; Lu, Chuan; Pareschi, Lorenzo; Zhu, Xueyu 7 2022 Mean-field control variate methods for kinetic equations with uncertainties and applications to socioeconomic sciences. Zbl 1498.82026 Pareschi, Lorenzo; Trimborn, Torsten; Zanella, Mattia 5 2022 A bi-fidelity stochastic collocation method for transport equations with diffusive scaling and multi-dimensional random inputs. Zbl 07536737 Liu, Liu; Pareschi, Lorenzo; Zhu, Xueyu 4 2022 On the construction of conservative semi-Lagrangian IMEX advection schemes for multiscale time dependent PDEs. Zbl 1487.65112 Boscheri, Walter; Tavelli, Maurizio; Pareschi, Lorenzo 1 2022 High order pressure-based semi-implicit IMEX schemes for the 3D Navier-Stokes equations at all Mach numbers. Zbl 07508522 Boscheri, Walter; Pareschi, Lorenzo 36 2021 Hyperbolic models for the spread of epidemics on networks: kinetic description and numerical methods. Zbl 1472.65105 Bertaglia, Giulia; Pareschi, Lorenzo 25 2021 Control with uncertain data of socially structured compartmental epidemic models. Zbl 1467.92167 Albi, Giacomo; Pareschi, Lorenzo; Zanella, Mattia 21 2021 Modeling and simulating the spatial spread of an epidemic through multiscale kinetic transport equations. Zbl 1473.92006 Boscheri, Walter; Dimarco, Giacomo; Pareschi, Lorenzo 19 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 19 2021 Consensus-based optimization on the sphere: convergence to global minimizers and machine learning. Zbl 07626752 Fornasier, Massimo; Pareschi, Lorenzo; Huang, Hui; Sünnen, Philippe 19 2021 From particle swarm optimization to consensus based optimization: stochastic modeling and mean-field limit. Zbl 1473.35570 Grassi, Sara; Pareschi, Lorenzo 17 2021 Spatial spread of COVID-19 outbreak in Italy using multiscale kinetic transport equations with uncertainty. Zbl 1501.92144 Bertaglia, Giulia; Boscheri, Walter; Dimarco, Giacomo; Pareschi, Lorenzo 13 2021 Modelling lockdown measures in epidemic outbreaks using selective socio-economic containment with uncertainty. Zbl 1501.92136 Albi, Giacomo; Pareschi, Lorenzo; Zanella, Mattia 8 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 8 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 7 2021 On the stability of equilibrium preserving spectral methods for the homogeneous Boltzmann equation. Zbl 1483.76044 Pareschi, Lorenzo; Rey, Thomas 3 2021 High order semi-implicit multistep methods for time-dependent partial differential equations. Zbl 1499.65300 Albi, Giacomo; Pareschi, Lorenzo 2 2021 Consensus-based optimization on hypersurfaces: well-posedness and mean-field limit. Zbl 1467.90039 Fornasier, Massimo; Huang, Hui; Pareschi, Lorenzo; Sünnen, Philippe 31 2020 Implicit-explicit multistep methods for hyperbolic systems with multiscale relaxation. Zbl 1455.65126 Albi, Giacomo; Dimarco, Giacomo; Pareschi, Lorenzo 14 2020 Monte Carlo stochastic Galerkin methods for the Boltzmann equation with uncertainties: space-homogeneous case. Zbl 07508427 Pareschi, L.; Zanella, M. 13 2020 Multiscale variance reduction methods based on multiple control variates for kinetic equations with uncertainties. Zbl 1433.76150 Dimarco, Giacomo; Pareschi, Lorenzo 12 2020 Mean field models for large data-clustering problems. Zbl 1451.82045 Herty, Michael; Pareschi, Lorenzo; Visconti, Giuseppe 4 2020 Special issue on mathematical models for collective dynamics. Zbl 1531.00026 2 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. 155 2019 Particle based gPC methods for mean-field models of swarming with uncertainty. Zbl 1473.65252 Carrillo Antonio, José; Pareschi, Lorenzo; Zanella, Mattia 40 2019 Multi-scale control variate methods for uncertainty quantification in kinetic equations. Zbl 1452.65005 Dimarco, Giacomo; Pareschi, Lorenzo 18 2019 Hydrodynamic models of preference formation in multi-agent societies. Zbl 1427.35156 Pareschi, Lorenzo; Toscani, Giuseppe; Tosin, Andrea; Zanella, Mattia 17 2019 Structure preserving schemes for the continuum Kuramoto model: phase transitions. Zbl 1416.65028 Carrillo, José A.; Choi, Young-Pil; Pareschi, Lorenzo 13 2019 Portfolio optimization and model predictive control: A kinetic approach. Zbl 1426.91257 Trimborn, Torsten; Pareschi, Lorenzo; Frank, Martin 8 2019 Boltzmann games in heterogeneous consensus dynamics. Zbl 1415.35219 Albi, Giacomo; Pareschi, Lorenzo; Zanella, Mattia 5 2019 Linear multistep methods for optimal control problems and applications to hyperbolic relaxation systems. Zbl 1428.49003 Albi, G.; Herty, M.; Pareschi, L. 5 2019 Control strategies for the dynamics of large particle systems. Zbl 1453.93007 Herty, Michael; Pareschi, Lorenzo; Steffensen, Sonja 1 2019 Structure preserving schemes for nonlinear Fokker-Planck equations and applications. Zbl 1395.65027 Pareschi, Lorenzo; Zanella, Mattia 47 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 17 2018 Asymptotic-preserving Monte Carlo methods for transport equations in the diffusive limit. Zbl 1383.65130 Dimarco, G.; Pareschi, L.; Samaey, G. 14 2018 Kinetic models for optimal control of wealth inequalities. Zbl 1515.91070 Düring, Bertram; Pareschi, Lorenzo; Toscani, Giuseppe 14 2018 Selective model-predictive control for flocking systems. Zbl 1423.93113 Albi, Giacomo; Pareschi, Lorenzo 11 2018 Structure preserving schemes for mean-field equations of collective behavior. Zbl 1412.65087 Pareschi, Lorenzo; Zanella, Mattia 5 2018 A high order stochastic asymptotic preserving scheme for chemotaxis kinetic models with random inputs. Zbl 1471.92062 Jin, Shi; Lu, Hanqing; Pareschi, Lorenzo 3 2018 A unified IMEX Runge-Kutta approach for hyperbolic systems with multiscale relaxation. Zbl 1372.65261 Boscarino, Sebastiano; Pareschi, Lorenzo; Russo, Giovanni 39 2017 Opinion dynamics over complex networks: kinetic modelling and numerical methods. Zbl 1352.35195 Albi, Giacomo; Pareschi, Lorenzo; Zanella, Mattia 32 2017 On the asymptotic properties of IMEX Runge-Kutta schemes for hyperbolic balance laws. Zbl 1375.65119 Boscarino, S.; Pareschi, L. 28 2017 Uncertainty quantification for hyperbolic and kinetic equations. Zbl 1393.35003 24 2017 Implicit-explicit linear multistep methods for stiff kinetic equations. Zbl 1432.65131 Dimarco, Giacomo; Pareschi, Lorenzo 23 2017 Uncertainty quantification for kinetic models in socio-economic and life sciences. Zbl 1459.65207 Dimarco, Giacomo; Pareschi, Lorenzo; Zanella, Mattia 19 2017 Kinetic models of collective decision-making in the presence of equality bias. Zbl 1400.91141 Pareschi, Lorenzo; Vellucci, Pierluigi; Zanella, Mattia 14 2017 Residual equilibrium schemes for time dependent partial differential equations. Zbl 1390.65092 Pareschi, Lorenzo; Rey, Thomas 12 2017 Kinetic description of optimal control problems and applications to opinion consensus. Zbl 1325.49001 Albi, Giacomo; Herty, Michael; Pareschi, Lorenzo 47 2015 Uncertainty quantification in control problems for flocking models. Zbl 1394.93074 Albi, Giacomo; Pareschi, Lorenzo; Zanella, Mattia 38 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 16 2015 Mean-field control and Riccati equations. Zbl 1332.35372 Herty, Michael; Pareschi, Lorenzo; Steffensen, Sonja 13 2015 Asymptotic-preserving exponential methods for the quantum Boltzmann equation with high-order accuracy. Zbl 1317.65153 Hu, Jingwei; Li, Qin; Pareschi, Lorenzo 6 2015 Numerical methods for kinetic equations. Zbl 1398.65260 Dimarco, G.; Pareschi, L. 186 2014 Interacting multiagent systems. Kinetic equations and Monte Carlo methods. Zbl 1330.93004 Pareschi, Lorenzo; Toscani, Giuseppe 126 2014 Boltzmann-type control of opinion consensus through leaders. Zbl 1353.91038 Albi, G.; Pareschi, L.; Zanella, M. 61 2014 Wealth distribution and collective knowledge: a Boltzmann approach. Zbl 1353.91036 Pareschi, L.; Toscani, G. 36 2014 Exponential Runge-Kutta for the inhomogeneous Boltzmann equations with high order of accuracy. Zbl 1349.76707 Li, Qin; Pareschi, Lorenzo 25 2014 Implicit-explicit Runge-Kutta schemes for the Boltzmann-Poisson system for semiconductors. Zbl 1373.82074 Dimarco, Giacomo; Pareschi, Lorenzo; Rispoli, Vittorio 15 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 2 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. 111 2013 Asymptotic preserving implicit-explicit Runge–Kutta methods for nonlinear kinetic equations. Zbl 1268.76055 Dimarco, Giacomo; Pareschi, Lorenzo 70 2013 Binary interaction algorithms for the simulation of flocking and swarming dynamics. Zbl 1274.92053 Albi, G.; Pareschi, L. 51 2013 Modeling of self-organized systems interacting with a few individuals: from microscopic to macroscopic dynamics. Zbl 1257.92048 Albi, G.; Pareschi, L. 34 2013 Convolutive decomposition and fast summation methods for discrete-velocity approximations of the Boltzmann equation. Zbl 1311.76111 Mouhot, Clément; Pareschi, Lorenzo; Rey, Thomas 20 2013 Implicit-explicit Runge-Kutta schemes for numerical discretization of optimal control problems. Zbl 1287.65049 Herty, M.; Pareschi, L.; Steffensen, S. 9 2013 Numerical methods for the optimal control of scalar conservation laws. Zbl 1266.49056 Steffensen, Sonja; Herty, Michael; Pareschi, Lorenzo 5 2013 High order asymptotic-preserving schemes for the Boltzmann equation. Zbl 1242.35185 Dimarco, Giacomo; Pareschi, Lorenzo 22 2012 Mean field mutation dynamics and the continuous Luria-Delbrück distribution. Zbl 1316.92051 Kashdan, Eugene; Pareschi, Lorenzo 7 2012 Exponential Runge-Kutta methods for stiff kinetic equations. Zbl 1298.76150 Dimarco, Giacomo; Pareschi, Lorenzo 56 2011 The moment-guided Monte Carlo method. Zbl 1227.82061 Degond, Pierre; Dimarco, Giacomo; Pareschi, Lorenzo 41 2011 On a continuous mixed strategies model for evolutionary game theory. Zbl 1216.35156 Boccabella, Astridh; Natalini, Roberto; Pareschi, Lorenzo 7 2011 Mathematical modeling of collective behavior in socio-economic and life sciences. Zbl 1200.91010 112 2010 Fokker-Planck asymptotics for traffic flow models. Zbl 1185.90036 Herty, Michael; Pareschi, Lorenzo 28 2010 Fluid solver independent hybrid methods for multiscale kinetic equations. Zbl 1292.76051 Dimarco, Giacomo; Pareschi, Lorenzo 27 2010 Direct simulation Monte Carlo schemes for Coulomb interactions in plasmas. Zbl 1329.82123 Dimarco, Giacomo; Caflisch, Russel; Pareschi, Lorenzo 7 2010 Microscopic and kinetic models in financial markets. Zbl 1211.91257 Cordier, Stephane; Maldarella, Dario; Pareschi, Lorenzo; Piatecki, Cyrille 2 2010 Mesoscopic modelling of financial markets. Zbl 1168.82019 Cordier, Stephane; Pareschi, Lorenzo; Piatecki, Cyrille 19 2009 Adaptive and recursive time relaxed Monte Carlo methods for rarefied gas dynamics. Zbl 1252.76074 Trazzi, Stefano; Pareschi, Lorenzo; Wennberg, Bernt 5 2009 IMEX Runge-Kutta schemes and hyperbolic systems of conservation laws with stiff diffusive relaxation. Zbl 1184.35203 Boscarino, S.; Pareschi, L.; Russo, G. 3 2009 Hybrid multiscale methods. II: Kinetic equations. Zbl 1185.65198 Dimarco, Giacomo; Pareschi, Lorenzo 33 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 5 2008 Modelling and numerical methods for the dynamics of impurities in a gas. Zbl 1152.76052 Ferrari, E.; Pareschi, L. 4 2008 Enskog-like discrete velocity models for vehicular traffic flow. Zbl 1232.90131 Herty, Michael; Pareschi, Lorenzo; Seaïd, Mohammed 8 2007 Fast algorithms for computing the Boltzmann collision operator. Zbl 1105.76043 Mouhot, Clément; Pareschi, Lorenzo 100 2006 Solving the Boltzmann equation in \(N \log_2 N\). Zbl 1174.82012 Filbet, Francis; Mouhot, Clément; Pareschi, Lorenzo 60 2006 Self-similarity and power-like tails in nonconservative kinetic models. Zbl 1134.82037 Pareschi, Lorenzo; Toscani, Giuseppe 25 2006 Dissipative hydrodynamic models for the diffusion of impurities in a gas. Zbl 1173.82352 Brull, Stephane; Pareschi, Lorenzo 8 2006 Discrete-velocity models and relaxation schemes for traffic flows. Zbl 1344.65081 Herty, Michael; Pareschi, Lorenzo; Seaid, Mohammed 8 2006 Hybrid multiscale methods. I: Hyperbolic relaxation problems. Zbl 1185.65197 Dimarco, Giacomo; Pareschi, Lorenzo 4 2006 Implicit-explicit Runge-Kutta schemes and applications to hyperbolic systems with relaxation. Zbl 1203.65111 Pareschi, Lorenzo; Russo, Giovanni 307 2005 ...and 55 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,972 Authors 99 Pareschi, Lorenzo 83 Ha, Seung-Yeal 53 Toscani, Giuseppe 45 Jin, Shi 42 Zanella, Mattia 41 Dimarco, Giacomo 38 Herty, Michael Matthias 32 Russo, Giovanni 31 Bellomo, Nicola 30 Hu, Jingwei 28 Carrillo de la Plata, José Antonio 26 Boscheri, Walter 24 Albi, Giacomo 22 Klar, Axel 20 Park, Hansol 20 Puppo, Gabriella 20 Tosin, Andrea 19 Boscarino, Sebastiano 17 Filbet, Francis 17 Xu, Kun 16 Ahn, Hyunjin 16 Degond, Pierre 16 Samaey, Giovanni 16 Wu, Lei 15 Bertaglia, Giulia 15 Dumbser, Michael 15 Martínez Gamba, Irene 15 Li, Qin 15 Mieussens, Luc 15 Rey, Thomas 15 Shim, Woojoo 14 Banda, Mapundi Kondwani 14 Hauck, Cory D. 14 Liu, Liu 13 Xiong, Tao 12 Cai, Zhenning 12 Cheng, Yingda 12 Choi, Young-Pil 12 Crouseilles, Nicolas 12 Kim, Jeongho 12 Piccoli, Benedetto 12 Totzeck, Claudia 12 Visconti, Giuseppe 12 Wang, Li 12 Wang, Yanli 12 Zhang, Yonghao 11 Kang, Myeongju 11 Kim, Doheon 11 Ko, Dongnam 11 Lemou, Mohammed 11 Lukáčová-Medviďová, Mária 11 Mulet, Pep 11 Natalini, Roberto 11 Qiu, Jingmei 11 Yun, Seok-Bae 10 Brezzi, Franco 10 Bürger, Raimund 10 Frank, Martin 10 Haskovec, Jan 10 Kim, Dohyun 10 Liu, Jianguo 10 Saintier, Nicolas 10 Schütz, Jochen 10 Sun, Wenjun 9 Fornasier, Massimo 9 Huang, Hui 9 Huang, Juntao 9 Jackiewicz, Zdzislaw 9 Klingenberg, Christian F. 9 Knopoff, Damian A. 9 Li, Fengyan 9 Li, Lei 9 Loubère, Raphaël 9 Pinasco, Juan Pablo 9 Pirner, Marlies 9 Venturi, Daniele 9 Wolfram, Marie-Therese 9 Xiao, Tianbai 8 Borsche, Raul 8 Chertock, Alina E. 8 Gibelli, Livio 8 Haack, Jeffrey R. 8 Iollo, Angelo 8 Jiang, Song 8 Jung, Jinwook 8 Sandu, Adrian 8 Seaïd, Mohammed 8 Shu, Chi-Wang 8 Soler, Juan S. 7 Bae, Hyeong-Ohk 7 Bisi, Marzia 7 Burini, Diletta 7 Byeon, Junhyeok 7 Caflisch, Russel E. 7 Cho, Seung-Yeon 7 Gosse, Laurent 7 Higueras, Inmaculada 7 Lu, Jianfeng 7 Reese, Jason M. 7 Rossi, Francesco ...and 1,872 more Authors all top 5 Cited in 213 Serials 310 Journal of Computational Physics 114 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 74 Journal of Scientific Computing 65 Kinetic and Related Models 59 SIAM Journal on Scientific Computing 52 Journal of Statistical Physics 36 Multiscale Modeling & Simulation 34 Applied Numerical Mathematics 27 Communications in Computational Physics 25 Computers and Fluids 25 Journal of Computational and Applied Mathematics 25 Networks and Heterogeneous Media 23 Applied Mathematics and Computation 23 SIAM Journal on Numerical Analysis 20 Physica A 18 Computers & Mathematics with Applications 18 Mathematics of Computation 17 Computer Methods in Applied Mechanics and Engineering 17 Journal of Differential Equations 15 Mathematical Methods in the Applied Sciences 14 Numerische Mathematik 14 SIAM Journal on Mathematical Analysis 13 Transport Theory and Statistical Physics 13 SIAM Journal on Applied Mathematics 13 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 13 Communications on Applied Mathematics and Computation 12 Computer Physics Communications 12 Discrete and Continuous Dynamical Systems. Series B 11 Mathematical Biosciences and Engineering 9 Journal of Fluid Mechanics 9 Applied Mathematics Letters 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 8 Journal of Mathematical Biology 8 Journal of Mathematical Physics 8 Mathematics and Computers in Simulation 8 Physica D 8 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 8 SIAM/ASA Journal on Uncertainty Quantification 7 Journal of Mathematical Analysis and Applications 7 Numerical Methods for Partial Differential Equations 7 Discrete and Continuous Dynamical Systems 7 European Journal of Mechanics. B. Fluids 7 Communications in Nonlinear Science and Numerical Simulation 7 SIAM Journal on Applied Dynamical Systems 7 SMAI Journal of Computational Mathematics 6 Applied Mathematics and Optimization 6 SIAM Journal on Control and Optimization 6 Acta Applicandae Mathematicae 6 Numerical Algorithms 6 Stochastic Processes and their Applications 6 Journal of Nonlinear Science 6 International Journal of Computational Fluid Dynamics 6 Communications on Pure and Applied Analysis 6 Communications in Applied and Industrial Mathematics 5 International Journal for Numerical Methods in Fluids 5 International Journal for Numerical Methods in Engineering 5 Studies in Applied Mathematics 5 European Journal of Applied Mathematics 5 Applied Mathematical Modelling 5 Vietnam Journal of Mathematics 5 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 5 Nonlinear Analysis. Real World Applications 4 Archive for Rational Mechanics and Analysis 4 Bulletin of Mathematical Biology 4 Automatica 4 Quarterly of Applied Mathematics 4 Computational Mathematics and Mathematical Physics 4 International Journal of Computer Mathematics 4 Mathematical Problems in Engineering 4 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 4 Analysis and Applications (Singapore) 4 Journal of Statistical Mechanics: Theory and Experiment 4 Oberwolfach Reports 4 Advances in Applied Mathematics and Mechanics 4 SN Partial Differential Equations and Applications 3 Communications in Mathematical Physics 3 Chaos, Solitons and Fractals 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Proceedings of the American Mathematical Society 3 Transactions of the American Mathematical Society 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 Journal of Computational Mathematics 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 SIAM Journal on Optimization 3 Journal of Mathematical Sciences (New York) 3 Chaos 3 Journal of Mathematical Fluid Mechanics 3 Journal of Evolution Equations 3 Acta Numerica 3 The European Physical Journal B. Condensed Matter and Complex Systems 3 Discrete and Continuous Dynamical Systems. Series S 3 Journal of Mathematics in Industry 3 East Asian Journal on Applied Mathematics 2 Applicable Analysis 2 Classical and Quantum Gravity 2 Communications on Pure and Applied Mathematics 2 International Journal of Control 2 Mathematical Biosciences 2 BIT 2 Journal of Optimization Theory and Applications ...and 113 more Serials all top 5 Cited in 48 Fields 812 Numerical analysis (65-XX) 757 Partial differential equations (35-XX) 598 Fluid mechanics (76-XX) 513 Statistical mechanics, structure of matter (82-XX) 224 Biology and other natural sciences (92-XX) 159 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 103 Ordinary differential equations (34-XX) 98 Probability theory and stochastic processes (60-XX) 82 Systems theory; control (93-XX) 79 Operations research, mathematical programming (90-XX) 67 Calculus of variations and optimal control; optimization (49-XX) 46 Dynamical systems and ergodic theory (37-XX) 45 Integral equations (45-XX) 30 Computer science (68-XX) 29 Optics, electromagnetic theory (78-XX) 29 Classical thermodynamics, heat transfer (80-XX) 27 Mechanics of particles and systems (70-XX) 25 Mechanics of deformable solids (74-XX) 20 Quantum theory (81-XX) 18 Geophysics (86-XX) 17 Statistics (62-XX) 14 Astronomy and astrophysics (85-XX) 11 General and overarching topics; collections (00-XX) 10 Approximations and expansions (41-XX) 10 Global analysis, analysis on manifolds (58-XX) 9 Information and communication theory, circuits (94-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Real functions (26-XX) 7 Operator theory (47-XX) 5 Combinatorics (05-XX) 5 Difference and functional equations (39-XX) 4 Special functions (33-XX) 3 Measure and integration (28-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Integral transforms, operational calculus (44-XX) 3 Functional analysis (46-XX) 3 Differential geometry (53-XX) 3 Relativity and gravitational theory (83-XX) 2 Mathematics education (97-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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