Exploring ODEs

by Trefethen, Lloyd Nicholas

Type Book

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Title Statements

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

Edition Statements

Publication Date:C 2018

Publication Statements

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

The Physical Object

Description:1 v. (VII-335 p.) : : illustrations, couv. illustrations ; : 27 cm

Edition Identifiers

ISBN:9781611975154, 1611975158
oclc:on1090238223
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