Buch, Englisch, 356 Seiten, Format (B × H): 153 mm x 244 mm, Gewicht: 1540 g
Reihe: Modeling and Simulation in Science, Engineering and Technology
Buch, Englisch, 356 Seiten, Format (B × H): 153 mm x 244 mm, Gewicht: 1540 g
Reihe: Modeling and Simulation in Science, Engineering and Technology
ISBN: 978-0-8176-3254-0
Verlag: Springer
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.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
- Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Strömungslehre
- Naturwissenschaften Biowissenschaften Angewandte Biologie Biomathematik
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
- Naturwissenschaften Physik Mechanik Klassische Mechanik, Newtonsche Mechanik
- Naturwissenschaften Physik Mechanik Kontinuumsmechanik, Strömungslehre
- Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
- Naturwissenschaften Physik Physik Allgemein Geschichte der Physik
- Technische Wissenschaften Technik Allgemein Computeranwendungen in der Technik
- Naturwissenschaften Physik Physik Allgemein Experimentalphysik
- Mathematik | Informatik EDV | Informatik Professionelle Anwendung Computer-Aided Design (CAD)
- Mathematik | Informatik EDV | Informatik Angewandte Informatik Computeranwendungen in Wissenschaft & Technologie
Weitere Infos & Material
I. Geometric Operators and the Inde.- Spectral invariants of operators of Dirac type on partitioned manifolds.- Index theory of Dirac operators on manifolds with corners up to codimension two.- Index defects in the theory of spectral boundary value problems.- Cyclic homology and pseudo differential operators, a survey.- Index and secondary index theory for flat bundles with duality.- II. Elliptic Boundary Value Problems.- Toeplitz operators, and ellipticity of boundary value problems with global projection conditions.- On the tangential oblique derivative problem — methods, results, open problems.- A note on boundary value problems on manifolds with cylindrical ends.- Relative elliptic theory.- Appendix. Fourier Integral Operators.- A.1. Homogeneous Lagrangian manifolds.- A.2. Local description of homogeneous Lagrangian manifolds.- A.3. Composition of homogeneous Lagrangian manifolds.- A.4. Definition of Fourier integral operators.- A.5. Pseudodifferential operators as Fourier integral operators.- A.6. Boundedness theorems.- A.7. Composition theorems.- References.