Michel Hénon

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The shear viscosity of a lattice gas can be derived in th e Boltzmann approximat ion from a straightfor ward analysis of th e numerical algorithm. Thi s computat ion is presented first in the case of the Friech-Hasslacher-Pome au two-dimensional triangular lattice. It is then generalized to a regular lat t ice of arbitrary dimension, shape, and collision(More)
Numerical integrations in celestial mechanics often involve the repeated computation of a rotation with a constant angle. A direct evaluation of these rotations yields a linear drift of the distance to the origin. This is due to roundoff in the representation of the sine s and cosine c of the angle θ. In a computer, one generally gets c + s 6= 1, resulting(More)
We describe a mechanical device which can be used as an analog computer to solve the transportation problem. In practice this device is simulated by a numerical algorithm. Tests show that this algorithm is 60 times faster than a current subroutine (NAG library) for an average 1000×1000 problem. Its performance is even better for degenerate problems in which(More)
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