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Titlebook: Applied and Industrial Mathematics; Venice - 1, 1989 Renato Spigler Book 1991 Springer Science+Business Media New York 1991 Markov.Operator

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https://doi.org/10.1007/978-94-015-6921-7We present a survey of a recent comprehensive study on the numerical methods for Hamiltonian systems based on symplectic geometry, together the motivations for the research, justification for the symplectic approach adopted, some of the main results, their ramifications and their implications [1–9].
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Physical Problems and Rigorous Results in Kinetic TheoryAfter a brief introduction to the applications of kinetic theory (with particular concern for aerospace problems) the kinetic equations introduced by Boltzmann and Enskog are briefly discussed. Then a survey of recent rigorous results in the mathematical theory of these equations is given.
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The Hamiltonian Way for Computing Hamiltonian DynamicsWe present a survey of a recent comprehensive study on the numerical methods for Hamiltonian systems based on symplectic geometry, together the motivations for the research, justification for the symplectic approach adopted, some of the main results, their ramifications and their implications [1–9].
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Deterministic TurbulenceThere are many theories of turbulence but they all fall into two categories: Probabilistic and deterministic. In one kind of probabilistic theory one deals with an ensemble of flows, dependent on a random field of some kind. The task for the theorist is:
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