Thomas P. Weissert

The Genesis of Simulation in Dynamics (eBook, PDF)

Pursuing the Fermi-Pasta-Ulam Problem

• Format: PDF

Produktbeschreibung

Intended for a broad audience of scientifically literate readers, this book show how the modern theory of dynamics and simulation developed alongside the modern electronic computer. It shows how many of the new and now standard techniques of nonlinear modeling and numerical simulation arose in response to specific problems. No other text focuses so tightly and covers so completely one specific, pernicious problem at the heart of dynamics.

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Produktdetails

• Verlag: Springer US
• Seitenzahl: 176
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9781461219569
• Artikelnr.: 44184932

Inhaltsangabe

I: History.- 1. The FPU Model and Simulation: "A Little Discovery".- 2. The FPU Research Program: Echoes on a String.- 3. The Kolmogorov-Arnold-Moser Theorem: "Here Comes the Surprise".- 4. Research Threads Come Together: Harmonic Convergence.- II: Philosophy.- 5. Steps to an Epistemology of Simulation.- Append.- A. Hamiltonian Dynamics: Language of Abstraction.- A.1. Topology and Phase-Space Trajectories.- A.2. Canonical Transformations.- A.3. Transforming the Unperturbed String.- A.4. Cyclic Coordinates.- A.5. Liouville Integrability.- A.6. The Action-Angle Variables.- A.7. Dynamics on a Torus.- A.8. Commensurability: Two Types of Motion.- A.9. Digital Representation.- A.10.Physical Reality and the Continuum.- A.11.Perturbing the String.- References.