Lecture notes on the discretization of the Boltzmann equation /

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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 t...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Bellomo, N., Gatignol, Renée
Formato: Electrónico eBook
Idioma:Inglés
Publicado: River Edge, NJ : World Scientific, ©2003.
Colección:Series on advances in mathematics for applied sciences ; v. 63.
Temas:
Transport theory.
Finite element method.
Differential equations > Asymptotic theory.
Théorie du transport.
Méthode des éléments finis.
Équations différentielles > Théorie asymptotique.
SCIENCE > Physics > General.
Differential equations > Asymptotic theory
Finite element method
Transport theory
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Ch. 1. From the Boltzmann equation to discretized kinetic models / N. Bellomo and R. Gatignol
  • ch. 2. Discrete velocity models for gas mixtures / C. Cercignani
  • ch. 3. Discrete velocity models with multiple collisions / R. Gatignol
  • ch. 4. Discretization of the Boltzmann equation and the semicontinuous model / L. Preziosi and L. Rondoni
  • ch. 5. Semi-continuous extended kinetic theory / W. Koller
  • ch. 6. Steady kinetic boundary value problems / H. Babovsky, D. Görsch and F. Schilder
  • ch. 7. Computational methods and fast algorithms for the Boltzmann equation / L. Pareschi
  • ch. 8. Discrete velocity models and dynamical systems / A. Bobylev and N. Bernhoff
  • ch. 9. Numerical method for the Compton scattering operator / C. Buet and S. Cordier
  • ch. 10. Discrete models of the Boltzmann equation in quantum optics and arbitrary partition of the velocity space / F. Schürrer.

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