Lorenzo Pareschi's Books

Modelling and Numerics of Kinetic Dissipative Systems

By: Lorenzo Pareschi,Giovanni Russo

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Modelling and Numerics of Kinetic Dissipative Systems

By: Lorenzo Pareschi,Giovanni Russo

The book is divided into three parts, which contain respectively recent results in the kinetic theory of granular gases, kinetic theory of chemically reacting gases, and numerical methods for kinetic systems. Part I is devoted to theoretical aspects of granular gases. Part II presents recent results on modelling of kinetic systems in which molecules can undergo binary collisions in presence of chemical reactions and/or in presence of quantum effects. Part III contains several contributions related to the construction of suitable numerical methods and simulations for granular gases.

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Page Count

238

Publisher

Nova Publishers

Published Date

ISBN 10

1594545030

ISBN 13

9781594545030

Interacting Multiagent Systems

Kinetic Equations and Monte Carlo Methods

By: Lorenzo Pareschi,Giuseppe Toscani

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Interacting Multiagent Systems

Kinetic Equations and Monte Carlo Methods

By: Lorenzo Pareschi,Giuseppe Toscani

Mathematical modelling of systems constituted by many agents using kinetic theory is a new tool that has proved effective in predicting the emergence of collective behaviours and self-organization. This idea has been applied by the authors to various problems which range from sociology to economics and life sciences.

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Page Count

391

Publisher

Oxford University Press, USA

Published Date

ISBN 10

0199655464

ISBN 13

9780199655465

Interacting Multiagent Systems

Kinetic Equations and Monte Carlo Methods

By: Lorenzo Pareschi,Giuseppe Toscani

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Interacting Multiagent Systems

Kinetic Equations and Monte Carlo Methods

By: Lorenzo Pareschi,Giuseppe Toscani

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Page Count

391

Publisher

Oxford University Press, USA

Published Date

ISBN 10

0199655464

ISBN 13

9780199655465

Modelling and Numerics of Kinetic Dissipative Systems

By: Lorenzo Pareschi,Giovanni Russo

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Modelling and Numerics of Kinetic Dissipative Systems

By: Lorenzo Pareschi,Giovanni Russo

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Page Count

238

Publisher

Nova Publishers

Published Date

ISBN 10

1594545030

ISBN 13

9781594545030

Modeling and Computational Methods for Kinetic Equations

By: Pierre Degond,Lorenzo Pareschi,Giovanni Russo

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Modeling and Computational Methods for Kinetic Equations

By: Pierre Degond,Lorenzo Pareschi,Giovanni Russo

In recent years kinetic theory has developed in many areas of the physical sciences and engineering, and has extended the borders of its traditional fields of application. New applications in traffic flow engineering, granular media modeling, and polymer and phase transition physics have resulted in new numerical algorithms which depart from traditional stochastic Monte--Carlo methods. This monograph is a self-contained presentation of such recently developed aspects of kinetic theory, as well as a comprehensive account of the fundamentals of the theory. Emphasizing modeling techniques and numerical methods, the book provides a unified treatment of kinetic equations not found in more focused theoretical or applied works. The book is divided into two parts. Part I is devoted to the most fundamental kinetic model: the Boltzmann equation of rarefied gas dynamics. Additionally, widely used numerical methods for the discretization of the Boltzmann equation are reviewed: the Monte--Carlo method, spectral methods, and finite-difference methods. Part II considers specific applications: plasma kinetic modeling using the Landau--Fokker--Planck equations, traffic flow modeling, granular media modeling, quantum kinetic modeling, and coagulation-fragmentation problems. Modeling and Computational Methods of Kinetic Equations will be accessible to readers working in different communities where kinetic theory is important: graduate students, researchers and practitioners in mathematical physics, applied mathematics, and various branches of engineering. The work may be used for self-study, as a reference text, or in graduate-level courses in kinetic theory and its applications.

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Page Count

372

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0817632549

ISBN 13

9780817632540

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

By: Giovanni Naldi,Lorenzo Pareschi,Giuseppe Toscani

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

By: Giovanni Naldi,Lorenzo Pareschi,Giuseppe Toscani

Using examples from finance and modern warfare to the flocking of birds and the swarming of bacteria, the collected research in this volume demonstrates the common methodological approaches and tools for modeling and simulating collective behavior. The topics presented point toward new and challenging frontiers of applied mathematics, making the volume a useful reference text for applied mathematicians, physicists, biologists, and economists involved in the modeling of socio-economic systems.

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Page Count

437

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0817649468

ISBN 13

9780817649463

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

By: Giovanni Naldi,Lorenzo Pareschi,Giuseppe Toscani

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

By: Giovanni Naldi,Lorenzo Pareschi,Giuseppe Toscani

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Page Count

438

Publisher

Birkhäuser

Published Date

ISBN 10

081764945X

ISBN 13

9780817649456

Book's by Lorenzo Pareschi

Modelling and Numerics of Kinetic Dissipative Systems

Modelling and Numerics of Kinetic Dissipative Systems

Interacting Multiagent Systems

Interacting Multiagent Systems

Interacting Multiagent Systems

Interacting Multiagent Systems

Modelling and Numerics of Kinetic Dissipative Systems

Modelling and Numerics of Kinetic Dissipative Systems

Modeling and Computational Methods for Kinetic Equations

Modeling and Computational Methods for Kinetic Equations

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

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

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

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

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