Exploring ODEs

by Trefethen, Lloyd N., (Lloyd Nicholas)

Type Book

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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.

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Title Statements

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

Summary

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:1 online resource (vii, 335 pages)

Edition Identifiers

ISBN:9781611975161, 1611975166
oclc:on1261784848
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.