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- Lorenzo Pareschi

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
46
Citations
7,719
177
World Ranking
987
National Ranking
28

- Quantum mechanics
- Mathematical analysis
- Artificial intelligence

His primary areas of study are Boltzmann equation, Mathematical analysis, Statistical physics, Spectral method and Numerical analysis. His studies deal with areas such as Optimal control, Minification, Boltzmann constant, Euler equations and Discretization as well as Boltzmann equation. His Mathematical analysis study typically links adjacent topics like Relaxation.

His Relaxation study combines topics in areas such as Partial differential equation and Applied mathematics. His Statistical physics research is multidisciplinary, incorporating perspectives in Lattice Boltzmann methods, Kinetic theory of gases and Classical mechanics. Lorenzo Pareschi has included themes like Fast Fourier transform, Collision operator, Fokker–Planck equation, Fourier series and Hard spheres in his Spectral method study.

- Implicit---Explicit Runge---Kutta Schemes and Applications to Hyperbolic Systems with Relaxation (396 citations)
- Numerical methods for kinetic equations (203 citations)
- On a Kinetic Model for a Simple Market Economy (180 citations)

The scientist’s investigation covers issues in Applied mathematics, Boltzmann equation, Statistical physics, Mathematical analysis and Numerical analysis. His Applied mathematics research is multidisciplinary, relying on both Optimal control, Uncertainty quantification, Linear multistep method, Mean free path and Discretization. His Boltzmann equation research includes themes of Spectral method, Hard spheres and Boltzmann constant.

His research integrates issues of Distribution, Kinetic theory of gases and Nonlinear system in his study of Statistical physics. His studies in Mathematical analysis integrate themes in fields like Relaxation and Relaxation. His work in Numerical analysis addresses issues such as Partial differential equation, which are connected to fields such as Convection–diffusion equation.

- Applied mathematics (32.02%)
- Boltzmann equation (32.46%)
- Statistical physics (25.88%)

- Applied mathematics (32.02%)
- Numerical analysis (22.81%)
- Statistical physics (25.88%)

His scientific interests lie mostly in Applied mathematics, Numerical analysis, Statistical physics, Optimal control and Uncertainty quantification. His research in Applied mathematics intersects with topics in Global optimization, Boltzmann equation, Field, Linear multistep method and Discretization. The Boltzmann equation study combines topics in areas such as Spectral method, Perturbation and Boltzmann constant.

His work carried out in the field of Numerical analysis brings together such families of science as Space, High dimensionality, Partial differential equation and Limit. Lorenzo Pareschi combines subjects such as Mathematical model and Kinetic theory of gases with his study of Statistical physics. His work in Uncertainty quantification addresses subjects such as Computation, which are connected to disciplines such as Mathematical analysis and Mean free path.

- Vehicular traffic, crowds, and swarms: From kinetic theory and multiscale methods to applications and research perspectives (83 citations)
- Structure Preserving Schemes for Nonlinear Fokker–Planck Equations and Applications (44 citations)
- Particle based gPC methods for mean-field models of swarming with uncertainty (28 citations)

- Quantum mechanics
- Mathematical analysis
- Artificial intelligence

Lorenzo Pareschi spends much of his time researching Applied mathematics, Kinetic equations, Model predictive control, Optimal control and Statistical physics. His Applied mathematics research includes elements of Uncertainty quantification and Global optimization. The concepts of his Model predictive control study are interwoven with issues in Control theory, Pareto index and Flocking.

His Optimal control research is multidisciplinary, incorporating elements of Uncertain data and Global strategy. Lorenzo Pareschi integrates Statistical physics and Kuramoto model in his studies. In his study, Mathematical analysis, Mean free path, Discretization and Distribution is strongly linked to Computation, which falls under the umbrella field of Convection–diffusion equation.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Implicit---Explicit Runge---Kutta Schemes and Applications to Hyperbolic Systems with Relaxation

Lorenzo Pareschi;Giovanni Russo.

Journal of Scientific Computing **(2005)**

619 Citations

Interacting Multiagent Systems: Kinetic equations and Monte Carlo methods

Lorenzo Pareschi;Giuseppe Toscani.

**(2014)**

475 Citations

Numerical methods for kinetic equations

Giacomo Dimarco;Lorenzo Pareschi.

Acta Numerica **(2014)**

273 Citations

On a Kinetic Model for a Simple Market Economy

Stephane Cordier;Lorenzo Pareschi;Giuseppe Toscani.

Journal of Statistical Physics **(2005)**

241 Citations

Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences

Giovanni Naldi;Lorenzo Pareschi;Giuseppe Toscani.

**(2010)**

233 Citations

Numerical Solution of the Boltzmann Equation I: Spectrally Accurate Approximation of the Collision Operator

Lorenzo Pareschi;Giovanni Russo.

SIAM Journal on Numerical Analysis **(2000)**

229 Citations

Uniformly Accurate Diffusive Relaxation Schemes for Multiscale Transport Equations

Shi Jin;Lorenzo Pareschi;Giuseppe Toscani.

SIAM Journal on Numerical Analysis **(2000)**

227 Citations

Diffusive Relaxation Schemes for Multiscale Discrete-Velocity Kinetic Equations

Shi Jin;Lorenzo Pareschi;Giuseppe Toscani.

SIAM Journal on Numerical Analysis **(1998)**

217 Citations

Implicit-explicit Runge-Kutta schemes for stiff systems of differential equations

Lorenzo Pareschi;Giovanni Russo.

Recent trends in numerical analysis **(2000)**

187 Citations

Fast algorithms for computing the Boltzmann collision operator

Clément Mouhot;Lorenzo Pareschi.

Mathematics of Computation **(2006)**

178 Citations

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