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arXiv · 1002.2757

The Hamiltonian BVMs (HBVMs) Homepage

Luigi Brugnano·Felice Iavernaro·Donato Trigiante
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Abstract

Hamiltonian Boundary Value Methods (in short, HBVMs) is a new class of numerical methods for the efficient numerical solution of canonical Hamiltonian systems. In particular, their main feature is that of exactly preserving, for the numerical solution, the value of the Hamiltonian function, when the latter is a polynomial of arbitrarily high degree. Clearly, this fact implies a practical conservation of any analytical Hamiltonian function. In this notes, we collect the introductory material on HBVMs contained in the HBVMs Homepage, available at http://web.math.unifi.it/users/brugnano/HBVM/index.html

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Luigi Brugnano, Felice Iavernaro, Donato Trigiante. 2010-02-14. The Hamiltonian BVMs (HBVMs) Homepage. https://arxiv.org/abs/1002.2757

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