Modeling and Computational Methods for Kinetic Equations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
2004
|
| Schriftenreihe: | Modeling and Simulation in Science, Engineering and Technology
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 |
| Beschreibung: | 1 Online-Ressource (XI, 356 p) |
| ISBN: | 9780817682002 9781461264873 |
| ISSN: | 2164-3679 |
| DOI: | 10.1007/978-0-8176-8200-2 |
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Datensatz im Suchindex
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| discipline | Mathematik |
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| isbn | 9780817682002 9781461264873 |
| issn | 2164-3679 |
| language | English |
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| series2 | Modeling and Simulation in Science, Engineering and Technology |
| spelling | Degond, Pierre Verfasser aut Modeling and Computational Methods for Kinetic Equations edited by Pierre Degond, Lorenzo Pareschi, Giovanni Russo Boston, MA Birkhäuser Boston 2004 1 Online-Ressource (XI, 356 p) txt rdacontent c rdamedia cr rdacarrier Modeling and Simulation in Science, Engineering and Technology 2164-3679 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 Mathematics Computer science / Mathematics Engineering mathematics Computational Mathematics and Numerical Analysis Applications of Mathematics Theoretical, Mathematical and Computational Physics Fluid- and Aerodynamics Soft and Granular Matter, Complex Fluids and Microfluidics Appl.Mathematics/Computational Methods of Engineering Informatik Mathematik Kinetische Gastheorie (DE-588)4163881-5 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Kinetische Gleichung (DE-588)4030667-7 gnd rswk-swf 1\p (DE-588)4143413-4 Aufsatzsammlung gnd-content Kinetische Gleichung (DE-588)4030667-7 s Mathematisches Modell (DE-588)4114528-8 s 2\p DE-604 Kinetische Gastheorie (DE-588)4163881-5 s 3\p DE-604 Pareschi, Lorenzo Sonstige oth Russo, Giovanni Sonstige oth https://doi.org/10.1007/978-0-8176-8200-2 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Degond, Pierre Modeling and Computational Methods for Kinetic Equations Mathematics Computer science / Mathematics Engineering mathematics Computational Mathematics and Numerical Analysis Applications of Mathematics Theoretical, Mathematical and Computational Physics Fluid- and Aerodynamics Soft and Granular Matter, Complex Fluids and Microfluidics Appl.Mathematics/Computational Methods of Engineering Informatik Mathematik Kinetische Gastheorie (DE-588)4163881-5 gnd Mathematisches Modell (DE-588)4114528-8 gnd Kinetische Gleichung (DE-588)4030667-7 gnd |
| subject_GND | (DE-588)4163881-5 (DE-588)4114528-8 (DE-588)4030667-7 (DE-588)4143413-4 |
| title | Modeling and Computational Methods for Kinetic Equations |
| title_auth | Modeling and Computational Methods for Kinetic Equations |
| title_exact_search | Modeling and Computational Methods for Kinetic Equations |
| title_full | Modeling and Computational Methods for Kinetic Equations edited by Pierre Degond, Lorenzo Pareschi, Giovanni Russo |
| title_fullStr | Modeling and Computational Methods for Kinetic Equations edited by Pierre Degond, Lorenzo Pareschi, Giovanni Russo |
| title_full_unstemmed | Modeling and Computational Methods for Kinetic Equations edited by Pierre Degond, Lorenzo Pareschi, Giovanni Russo |
| title_short | Modeling and Computational Methods for Kinetic Equations |
| title_sort | modeling and computational methods for kinetic equations |
| topic | Mathematics Computer science / Mathematics Engineering mathematics Computational Mathematics and Numerical Analysis Applications of Mathematics Theoretical, Mathematical and Computational Physics Fluid- and Aerodynamics Soft and Granular Matter, Complex Fluids and Microfluidics Appl.Mathematics/Computational Methods of Engineering Informatik Mathematik Kinetische Gastheorie (DE-588)4163881-5 gnd Mathematisches Modell (DE-588)4114528-8 gnd Kinetische Gleichung (DE-588)4030667-7 gnd |
| topic_facet | Mathematics Computer science / Mathematics Engineering mathematics Computational Mathematics and Numerical Analysis Applications of Mathematics Theoretical, Mathematical and Computational Physics Fluid- and Aerodynamics Soft and Granular Matter, Complex Fluids and Microfluidics Appl.Mathematics/Computational Methods of Engineering Informatik Mathematik Kinetische Gastheorie Mathematisches Modell Kinetische Gleichung Aufsatzsammlung |
| url | https://doi.org/10.1007/978-0-8176-8200-2 |
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