Titolo: Scientific Computing with Mathematica�: Mathematical Problems for Ordinary Differential Equations (Modeling and Simulation in Science, Engineering and Technology)
Editore: Birkh�user
Data di pubblicazione: 2013
Lingua: Inglese
ISBN 10: 1461266351
ISBN 13: 9781461266358
Rilegatura: Brossura
Condizione: New

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Riassunto

Provides a general framework useful for the application of the theory of ODEs, as well as a sophisticated use of Mathematica software for the solution of problems related to ODEs. Through extensive worked examples and computer program demonstrations using Mathematica, the authors cover phase portrait, approximate solutions, periodic orbits, stability, bifurcation, and boundary problems. For graduate students, researchers, and practitioners in applied mathematics and engineering seeking an understanding of using ODEs in modeling physical, biological, and economic phenomena.

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. Poincar�'s Perturbation Method 5. Problems of Stability 6. Stability: The Critical Case 7. Bifurcation in ODEs 8. The Lindstedt-Poincar� 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

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