The Genesis of Simulation in Dynamics: Pursuing the Fermi-Pasta-Ulam Problem
Autor Thomas P. Weisserten Limba Engleză Paperback – 10 oct 1997
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Specificații
ISBN-13: 9780387982373
ISBN-10: 038798237X
Pagini: 176
Ilustrații: XIII, 176 p.
Dimensiuni: 155 x 235 x 14 mm
Greutate: 0.31 kg
Ediția:Softcover reprint of the original 1st ed. 1997
Editura: Springer
Colecția Springer
Locul publicării:New York, NY, United States
ISBN-10: 038798237X
Pagini: 176
Ilustrații: XIII, 176 p.
Dimensiuni: 155 x 235 x 14 mm
Greutate: 0.31 kg
Ediția:Softcover reprint of the original 1st ed. 1997
Editura: Springer
Colecția Springer
Locul publicării:New York, NY, United States
Public țintă
Professional/practitionerCuprins
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.
Caracteristici
Discusses such problems as the nonlinear oscillator simulation carried out by Fermi, Pasta, and Ulam at Los Alamos in the early 1950s; the mathematical rediscovery of solitons in the early 1960s; and the general problems of computability discussed by Kolmorogov, Arnold and Moser, by Ford, and by many others.