Scientific Computing with Mathematica®: Mathematical Problems for Ordinary Differential Equations - Rilegato

Marasco, Addolorata; Romano, Antonio

Rilegato

ISBN 10: 0817642056 ISBN 13: 9780817642051

Casa editrice: Springer Basel AG, 2001

Riassunto

Many interesting behaviors of real physical, biological, economical, and chemical systems can be described by ordinary differential equations (ODEs). Scientific Computing with Mathematica for Ordinary Differential Equations provides a general framework useful for the applications, on the conceptual aspects of the theory of ODEs, as well as a sophisticated use of Mathematica software for the solutions of problems related to ODEs. In particular, a chapter is devoted to the use ODEs and Mathematica in the Dynamics of rigid bodies. Mathematical methods and scientific computation are dealt with jointly to supply a unified presentation. The main problems of ordinary differential equations such as, phase portrait, approximate solutions, periodic orbits, stability, bifurcation, and boundary problems are covered in an integrated fashion with numerous worked examples and computer program demonstrations using Mathematica.

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Contenuti

Preface 1. Solutions of ODE's and Their Properties 2. Linear ODEs with Constant Coefficients 3. Power Series Solutions of ODEs and Frobenius Series 4. Poincaré's Perturbation Method 5. Problems of Stability 6. Stability: The Critical Case 7. Bifurcation in ODEs 8. The Lindstedt-Poincaré Method 9. Boundary-Value Problems for Second-Order ODEs 10. Rigid Body with a Fixed Point A. How to Use the Package ODE.m References Index

Dettagli dell'edizione

• Editore: Springer Basel AG
• Data di pubblicazione: 2001
• Lingua: Inglese
• ISBN 10: 0817642056
• ISBN 13: 9780817642051
• Rilegatura: Copertina rigida
• Numero di pagine: 288
• Contatto del produttore: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Germania