๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Concurrent processing: The key to rapid probabilistic potential methods

โœ Scribed by V. F. Fusco


Book ID
102906389
Publisher
John Wiley and Sons
Year
1990
Tongue
English
Weight
618 KB
Volume
3
Category
Article
ISSN
0894-3370

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โœฆ Synopsis


This paper shows how probabilistic potential methods based on the Monte Carlo approach can be efficiently mapped onto an array of concurrent processors and how the resulting algorithm can provide rapid solutions of harmonic function problems. The method described here exploits the natural concurrency of the Monte Carlo approach. Computation is achieved by use of a low-cost array of transputers linked to a PC-AT. The resulting methodology is powerful and the ideas suggested should have application to many other modelling techniques used for field modelling.

A microstrip geometry is used as the discussion vehicle throughout this paper. This geometry was selected since it exhibits a number of the important topological features required in a general problem, e.g. Dirichlet boundary conditions and mixed dielectric. The design of the parallel algorithm used is discussed in detail, and typical results are given.


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โœ Mark J. Hagmann ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 669 KB

The time-dependent Schrodinger equation is solved for an electron with potentials of the form fJr) + f2(r, t)U(t), where U ( t ) is the unit step function. We use a product formulation, solving for F(r, t ) where the wave function Wr, f) = F(r, t)@(r)ePiE"\* in which @(r)e-iE\*'\* is the solution fo