Exploring ODEs

by Trefethen, Lloyd N., (Lloyd Nicholas)

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Title Statements

Full title :Exploring ODEs / Lloyd N. Trefethen, Ásgeir Birkisson, Tobin A. Driscoll.

Edition Statements

Publication Date:©2018

Publication Statements

Publisher(s):Society for Industrial and Applied Mathematics
Place of Publication:Philadelphia
Language:eng
Publication Date:©2018

The Physical Object

Description:vii, 335 pages : : illustrations ; : 24 cm

Edition Identifiers

ISBN:9781611975154, 1611975158
oclc:on1097282907
LC Classification:QA371
Dewey Decimal:515/.352

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.