Details

Subject(s)

• Differential equations [Browse]

Author

• Birkisson, Ásgeir [Browse]
• Driscoll, Tobin A. (Tobin Allen), 1969- [Browse]

Publisher

• Society for Industrial and Applied Mathematics [Browse]

Series

• Other titles in applied mathematics. [More in this series]
• Other titles in applied mathematics ; 157 [More in this series]

Restrictions note

Restricted to subscribers or individual electronic text purchasers.

Summary note

Exploring ODEs is a textbook of ordinary differential equations for advanced undergraduates, graduate students, scientists, and engineers. It is unlike other books in this field in that each concept is illustrated numerically via a few lines of Chebfun code. There are about 400 computer-generated figures in all, and Appendix B presents 100 more examples as templates for further exploration.

Bibliographic references

Includes bibliographical references and index.

System details

• Mode of access: World Wide Web.
• System requirements: Adobe Acrobat Reader.

Source of description

Description based on title page of print version.

Contents

• Introduction
• First-order scalar linear ODEs
• First-order scalar nonlinear ODEs
• Second-order equations and damped oscillations
• Boundary-value problems
• Eigenvalues of linear BVPs
• Variable coefficients and adjoints
• Resonance
• Second-order equations in the phase plane
• Systems of equations
• The fundamental existence theorem
• Random functions and random odes
• Chaos
• Linear systems and linearization
• Stable and unstable fixed points
• Multiple solutions of nonlinear BVPs
• Bifurcation
• Continuation and path-following
• Periodic ODEs
• Boundary and interior layers
• Into the complex plane
• Time-dependent PDEs.

Show 19 more Contents items

Other format(s)

Also available in print version.

Other title(s)

Exploring ordinary differential equations.

ISBN

1-61197-516-6

Publisher no.

OT157

OCLC

1261784848

Doi

• 10.1137/1.9781611975161

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