Exploring ODEs

Exploring ODEs

by Trefethen, Lloyd Nicholas

Type Book
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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…

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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

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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Edition Statements

  • Publication Date:2018

Publication Statements

The Physical Object

  • Description:Seiten cm

Edition Identifiers

  • ISBN:9781611975154, 1611975158
  • oclc:on1026487399
  • LC Classification:QA371
  • Dewey Decimal:515/.352

Subjects

Differential equations Équations différentielles Gewöhnliche Differentialgleichung Lehrbuch

Writers

Trefethen, Lloyd Nicholas Birkisson, Asgeir Driscoll, Tobin Allen

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