By Heinrich J. Stüttgen

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This communication consists of sends forward then backward for each of the four dimensions. Restructuring the code allows the communication to proceed in both directions in all four directions concurrently. 2). There is one other optimization we can do with the multiwire-news part of the code and that is to merge it with the expands and projects so that there are no intermediate stores to memory. 2). 1). This figure of six Gflops is rather interesting because it is roughly the actual performance (rather than peak performance which is 16 Gflops) of the fastest special purpose 256-node parallel computer built especially for QCD simulations by Norman Christ at Columbia University.

G. W. KILCUP, A. R. SHARPE, QCD with dynamical wilson fermions II, Phys. Rev. D, 44(1991), p. 3272. [7] T. BHATTACHARYA AND R. GUPTA, A potpourri of results in QCD from large lattice simulations on the CMS, Nucl. Phys. B Proc. , 34(1994), p. 341. Chapter 3 Parallel Weiner Integral Methods for Elliptic BVPs: A Tale of Two Architectures Michael Mascagni Editorial preface The use of probabilistic methods as a solution technique for elliptic boundary values problems (BVPs) is not new, but the availability of parallel computers offers a new perspective on this approach.

2. 33 Concluding Comments It is well known that these Monte Carlo methods are far inferior to many deterministic methods for these types of problems. However, in very high dimensions variants of these Monte Carlo methods are often used to solve problems in quantum mechanics. In addition, the Monte Carlo methods often serve to motivate the design and analysis of deterministic analogues, which may offer some unique advantages over more conventional algorithms. Another property of these Monte Carlo algorithms that may prove useful in real computations is the fact that with them one may sample the solution at as few as one grid point.

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