Lecture notes on the discretization of the Boltzmann equation /:
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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| Weitere Verfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
River Edge, NJ :
World Scientific,
©2003.
|
| Schriftenreihe: | Series on advances in mathematics for applied sciences ;
v. 63. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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. |
| Beschreibung: | 1 online resource (x, 300 pages :) |
| Bibliographie: | Includes bibliographical references. |
| ISBN: | 9789812796905 9812796908 9789812382252 9812382259 |
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| 520 | |a 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. | ||
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| 650 | 6 | |a Méthode des éléments finis. | |
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| contents | 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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| series2 | Series on advances in mathematics for applied sciences ; |
| spelling | Lecture notes on the discretization of the Boltzmann equation / editors Nicola Bellomo, Renée Gatignol. River Edge, NJ : World Scientific, ©2003. 1 online resource (x, 300 pages :) text txt rdacontent computer c rdamedia online resource cr rdacarrier Series on advances in mathematics for applied sciences ; v. 63 Includes bibliographical references. Print version record. 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. 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. Transport theory. http://id.loc.gov/authorities/subjects/sh85137024 Finite element method. http://id.loc.gov/authorities/subjects/sh85048349 Differential equations Asymptotic theory. http://id.loc.gov/authorities/subjects/sh85037891 Théorie du transport. Méthode des éléments finis. Équations différentielles Théorie asymptotique. SCIENCE Physics General. bisacsh Differential equations Asymptotic theory fast Finite element method fast Transport theory fast Bellomo, N. Gatignol, Renée. has work: Lecture notes on the discretization of the Boltzmann equation (Text) https://id.oclc.org/worldcat/entity/E39PCGy6cWcDGhC3vJtVk4qpHd https://id.oclc.org/worldcat/ontology/hasWork Print version: Lecture notes on the discretization of the Boltzmann equation. River Edge, NJ : World Scientific, ©2003 9812382259 9789812382252 (DLC) 2002038059 (OCoLC)50948839 Series on advances in mathematics for applied sciences ; v. 63. http://id.loc.gov/authorities/names/n90710999 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=235724 Volltext CBO01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=235724 Volltext |
| spellingShingle | Lecture notes on the discretization of the Boltzmann equation / Series on advances in mathematics for applied sciences ; 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. Transport theory. http://id.loc.gov/authorities/subjects/sh85137024 Finite element method. http://id.loc.gov/authorities/subjects/sh85048349 Differential equations Asymptotic theory. http://id.loc.gov/authorities/subjects/sh85037891 Théorie du transport. Méthode des éléments finis. Équations différentielles Théorie asymptotique. SCIENCE Physics General. bisacsh Differential equations Asymptotic theory fast Finite element method fast Transport theory fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85137024 http://id.loc.gov/authorities/subjects/sh85048349 http://id.loc.gov/authorities/subjects/sh85037891 |
| title | Lecture notes on the discretization of the Boltzmann equation / |
| title_auth | Lecture notes on the discretization of the Boltzmann equation / |
| title_exact_search | Lecture notes on the discretization of the Boltzmann equation / |
| title_full | Lecture notes on the discretization of the Boltzmann equation / editors Nicola Bellomo, Renée Gatignol. |
| title_fullStr | Lecture notes on the discretization of the Boltzmann equation / editors Nicola Bellomo, Renée Gatignol. |
| title_full_unstemmed | Lecture notes on the discretization of the Boltzmann equation / editors Nicola Bellomo, Renée Gatignol. |
| title_short | Lecture notes on the discretization of the Boltzmann equation / |
| title_sort | lecture notes on the discretization of the boltzmann equation |
| topic | Transport theory. http://id.loc.gov/authorities/subjects/sh85137024 Finite element method. http://id.loc.gov/authorities/subjects/sh85048349 Differential equations Asymptotic theory. http://id.loc.gov/authorities/subjects/sh85037891 Théorie du transport. Méthode des éléments finis. Équations différentielles Théorie asymptotique. SCIENCE Physics General. bisacsh Differential equations Asymptotic theory fast Finite element method fast Transport theory fast |
| topic_facet | 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 |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=235724 |
| work_keys_str_mv | AT bellomon lecturenotesonthediscretizationoftheboltzmannequation AT gatignolrenee lecturenotesonthediscretizationoftheboltzmannequation |