Mathematical Physics

Download E-books The Rapid Evaluation of Potential Fields in Particle Systems (ACM Distinguished Dissertation) PDF

By Leslie F. Greengard

The quick evaluate of power Fields in Particle platforms provides a gaggle of algorithms for the computation of the capability and strength fields in large-scale structures of debris which are prone to revolutionize an entire category of machine functions in technological know-how and engineering.In many parts of clinical computing, from learning the evolution of galaxies, to simulating the habit of plasmas and fluids, to modelling chemical structures, a numerical scheme is used to keep on with the trajectories of a set of debris relocating based on Newton's moment legislation of movement in a box generated through the total ensemble. Extending the sooner paintings of Rokhlin, Greengard has constructed normal, numerically strong equipment for comparing all pairwise interactions in linear time, an excellent development over the quadratic time required by way of the naive technique, and a lot better than the other proposed alternative.The "Rokhlin-Greengard" set of rules provides to make formerly prohibitive simulations possible, with speedups of 3 to 4 orders of significance in a process of 1000000 debris. furthermore, the set of rules is well-suited for vector and parallel machines, and will make complete use in their functions. the writer offers his paintings with nice readability, and demonstrates the prevalence of his equipment either by way of mathematical research and through the result of numerical experiments.Leslie Greengard bought his doctorate from Yale college the place he's a NSF Postdoctoral Fellow within the machine technology division. The fast evaluate of strength Fields in Particle platforms is a 1987 ACM distinctive Dissertation.

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