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Lecture Notes on the Discretization of the Boltzmann Equation

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Author :
Release : 2003
Genre : Science
Kind : eBook
Book Rating : 259/5 ( reviews)

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Book Synopsis Lecture Notes on the Discretization of the Boltzmann Equation by : N. Bellomo

Download or read book Lecture Notes on the Discretization of the Boltzmann Equation written by N. Bellomo. This book was released on 2003. Available in PDF, EPUB and Kindle. Book excerpt: This book presents contributions on the following topics: discretization methods in the velocity and space, analysis of the conservation properties, asymptotic convergence to the continuous equation when the number of velocities tends to infinity, and application of discrete models. It consists of ten chapters. Each chapter is written by applied mathematicians who have been active in the field, and whose scientific contributions are well recognized by the scientific community.

Lecture Notes on the Discretization of the Boltzmann Equation

Download Lecture Notes on the Discretization of the Boltzmann Equation PDF Online Free

Author :
Release : 2003
Genre : Science
Kind : eBook
Book Rating : 905/5 ( reviews)

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Book Synopsis Lecture Notes on the Discretization of the Boltzmann Equation by : Nicola Bellomo

Download or read book Lecture Notes on the Discretization of the Boltzmann Equation written by Nicola Bellomo. This book was released on 2003. Available in PDF, EPUB and Kindle. Book excerpt: This book presents contributions on the following topics: discretization methods in the velocity and space, analysis of the conservation properties, asymptotic convergence to the continuous equation when the number of velocities tends to infinity, and application of discrete models. It consists of ten chapters. Each chapter is written by applied mathematicians who have been active in the field, and whose scientific contributions are well recognized by the scientific community. Contents: From the Boltzmann Equation to Discretized Kinetic Models (N Bellomo & R Gatignol); Discrete Velocity Models for Gas Mixtures (C Cercignani); Discrete Velocity Models with Multiple Collisions (R Gatignol); Discretization of the Boltzmann Equation and the Semicontinuous Model (L Preziosi & L Rondoni); Semi-continuous Extended Kinetic Theory (W Koller); Steady Kinetic Boundary Value Problems (H Babovsky et al.); Computational Methods and Fast Algorithms for the Boltzmann Equation (L Pareschi); Discrete Velocity Models and Dynamical Systems (A Bobylev & N Bernhoff); Numerical Method for the Compton Scattering Operator (C Buet & S Cordier); Discrete Models of the Boltzmann Equation in Quantum Optics and Arbitrary Partition of the Velocity Space (F Schrrer). Readership: Higher level postgraduates in applied mathematics.

Lecture Notes on the Mathematical Theory of the Boltzmann Equation

Download Lecture Notes on the Mathematical Theory of the Boltzmann Equation PDF Online Free

Author :
Release : 1995
Genre : Science
Kind : eBook
Book Rating : 669/5 ( reviews)

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Book Synopsis Lecture Notes on the Mathematical Theory of the Boltzmann Equation by : N. Bellomo

Download or read book Lecture Notes on the Mathematical Theory of the Boltzmann Equation written by N. Bellomo. This book was released on 1995. Available in PDF, EPUB and Kindle. Book excerpt: This is a collection of four lectures on some mathematical aspects related to the nonlinear Boltzmann equation. The following topics are dealt with: derivation of kinetic equations, qualitative analysis of the initial value problem, singular perturbation analysis towards the hydrodynamic limit and computational methods towards the solution of problems in fluid dynamics.

Hydrodynamic Limits of the Boltzmann Equation

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Release : 2009-03-26
Genre : Mathematics
Kind : eBook
Book Rating : 464/5 ( reviews)

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Book Synopsis Hydrodynamic Limits of the Boltzmann Equation by : Laure Saint-Raymond

Download or read book Hydrodynamic Limits of the Boltzmann Equation written by Laure Saint-Raymond. This book was released on 2009-03-26. Available in PDF, EPUB and Kindle. Book excerpt: "The material published in this volume comes essentially from a course given at the Conference on "Boltzmann equation and fluidodynamic limits", held in Trieste in June 2006." -- preface.

Lecture Notes on the Mathematical Theory of Generalized Boltzmann Models

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Author :
Release : 2000
Genre : Science
Kind : eBook
Book Rating : 783/5 ( reviews)

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Book Synopsis Lecture Notes on the Mathematical Theory of Generalized Boltzmann Models by : N. Bellomo

Download or read book Lecture Notes on the Mathematical Theory of Generalized Boltzmann Models written by N. Bellomo. This book was released on 2000. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on the idea that Boltzmann-like modelling methods can be developed to design, with special attention to applied sciences, kinetic-type models which are called generalized kinetic models. In particular, these models appear in evolution equations for the statistical distribution over the physical state of each individual of a large population. The evolution is determined both by interactions among individuals and by external actions. Considering that generalized kinetic models can play an important role in dealing with several interesting systems in applied sciences, the book provides a unified presentation of this topic with direct reference to modelling, mathematical statement of problems, qualitative and computational analysis, and applications. Models reported and proposed in the book refer to several fields of natural, applied and technological sciences. In particular, the following classes of models are discussed: population dynamics and socio-economic behaviours, models of aggregation and fragmentation phenomena, models of biology and immunology, traffic flow models, models of mixtures and particles undergoing classic and dissipative interactions.

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