E-Book, Englisch, 194 Seiten, eBook
Reihe: Scientific Computation
Chattot Computational Aerodynamics and Fluid Dynamics
2002
ISBN: 978-3-662-05064-4
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
An Introduction
E-Book, Englisch, 194 Seiten, eBook
Reihe: Scientific Computation
ISBN: 978-3-662-05064-4
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
The book gives the reader the basis for understanding the way numerical schemes achieve accurate and stable simulations of physical phenomena. It is based on the finite-difference method and simple problems that allow also the analytic solutions to be worked out. ODEs as well as hyperbolic, parabolic and elliptic types are treated. The book builds on simple model equations and, pedagogically, on a host of problems given together with their solutions.
Zielgruppe
Graduate
Autoren/Hrsg.
Weitere Infos & Material
1. Introduction.- 2. Basics of the Finite-Difference Method.- 3. Application to the Integration of Ordinary Differential Equations.- 4. Partial Differential Equations.- 5. Integration of a Linear Hyperbolic Equation.- 6. Integration of a Linear Parabolic Equation.- 7. Integration of a Linear Elliptic Equation.- 8. Finite Difference Scheme for a Convection-Diffusion Equation.- 9. The Method of Murman and Cole.- 10. Treatment of Non-Linearities.- 11. Application to a System of Equations.- A. Problems.- B. Solutions to Problems.- References.
