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Exploring ODEs / Lloyd N. Trefethen, University of Oxford, Ásgeir Birkisson, Squarepoint Capital, Tobin A. Driscoll, University of Delaware.

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Bibliographic Details
Online Access: Full Text (via SIAM)
Main Authors: Trefethen, Lloyd N. (Lloyd Nicholas) (Author), Birkisson, Ásgeir (Author), Driscoll, Tobin A. (Tobin Allen), 1969- (Author)
Other title:Exploring ordinary differential equations.
Format: eBook
Language:English
Published: Philadelphia : Society for Industrial and Applied Mathematics, [2018]
Series:Other titles in applied mathematics.
Subjects:
Differential equations.
Table of 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.

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