Exploring ODEs


Lloyd N. Trefethen, University of Oxford, Ásgeir Birkisson, Squarepoint Capital, Tobin A. Driscoll, University of Delaware
Bok Engelsk 2018
Annen tittel
Omfang
vii, 335 sider : illustrasjoner
Opplysninger
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.
Emner
Dewey
ISBN
9781611975154

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