Newtonian gravitation is studied from a discrete point of view in that the dynamical equation is an energy conserving difference equation. Application is made to planetary type, nondegenerate three-body problems and several ...

A numerical method is developed for a widely studied, wind-driven ocean circulation model. Examples of flow patterns of the northern Pacific, which include large nonlinear effects, are given.

In this paper a new type of modeling of physical phenomena is developed for systems of particles of differing masses. Initial value problems must be solved by means of modern, high speed digital computation. Of basic ...

Two new discrete methods, one based on discrete mechanics, the other based on high-order Taylor series, are developed and applied to approximate periodic solutions of van der Pol's equation. Typical numerical results are ...

In this paper a particle-type model is applied to the study of evolving swirling fluids. Of basic importance is a natural, self-reorganizing property of the system. High-speed digital computation is essential for the ...

In a previous paper, it was shown that under the assumption that both particle and rocket frame motions were in the X-direction only, then all the basic concepts and results of special relativity were obtainable from ...

In previous work, a new numerical method "discrete mechanics" was presented which conserved exactly the additive constants of motion. The basic formulae of "discrete mechanics" were originally derived for the case of a ...

In Part I of this work, numerical methods were derived for the solution of the equations of motion of a single particle subject to a central force which conserved exactly the energy and momenta. In the present work, the ...

The melting of triangular and rectangular solids is analyzed by means of new particle-type models. Heating is defined in terms of the increase of a particle's velocity, while temperature is defined in terms of a particle's ...