By Vijaya Ramachandran (auth.), Michael T. Heath, Abhiram Ranade, Robert S. Schreiber (eds.)

This IMA quantity in arithmetic and its purposes ALGORITHMS FOR PARALLEL PROCESSING is predicated at the complaints of a workshop that used to be an essential component of the 1996-97 IMA software on "MATHEMATICS IN HIGH-PERFORMANCE COMPUTING. " The workshop introduced jointly set of rules builders from idea, combinatorics, and clinical computing. the themes ranged over types, linear algebra, sorting, randomization, and graph algorithms and their research. We thank Michael T. Heath of collage of lllinois at Urbana (Com puter Science), Abhiram Ranade of the Indian Institute of know-how (Computer technology and Engineering), and Robert S. Schreiber of Hewlett Packard Laboratories for his or her first-class paintings in organizing the workshop and enhancing the lawsuits. We additionally take this chance to thank the nationwide technological know-how Founda tion (NSF) and the military learn workplace (ARO), whose monetary aid made the workshop attainable. A vner Friedman Robert Gulliver v PREFACE The Workshop on Algorithms for Parallel Processing used to be held on the IMA September sixteen - 20, 1996; it used to be the 1st workshop of the IMA 12 months devoted to the maths of excessive functionality computing. The paintings store organizers have been Abhiram Ranade of The Indian Institute of Tech nology, Bombay, Michael Heath of the college of Illinois, and Robert Schreiber of Hewlett Packard Laboratories. Our proposal used to be to assemble researchers who do cutting edge, fascinating, parallel algorithms examine on a variety of themes, and by way of sharing insights, difficulties, instruments, and strategies to profit whatever of price from one another.

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Several papers have discussed the design and performance of shared virtual memory for SMPs [7, 12, 18, 23] for different protocols. Erlichson et al. [12] conclude that the transition from uniprocessor to multiprocessor nodes is nontrivial, and performance can be seriously affected unless great care is taken. However, the protocol and system they assume is very different from ours. [2] is a preliminary version of this work. For this work, we use a much more detailed simulation environment and improved implementations of the protocols.

Barnes: The Barnes application simulates the interaction of a system of bodies (galaxies or particles, for example) in three dimensions over a number of time-steps, using the Barnes-Hut hierarchical N-body method. It represents the computational domain as an octree with leaves containing information about the bodies and internal nodes representing space cells. Most of the time is spent in partial traversals of the octree (one traversal per body) to compute the forces on individual bodies. The communication patterns are dependent on the particle distribution and are quite unstructured.

There is practically no contention in the outgoing queue, and request messages are sent out immediately for all the processors. The second class of applications consists of FFT (Figure 11), Barnesnolocks (Figure 14), and Water-nsquared. These applications do not benefit (or benefit little) from the use of SMP nodes with either protocol. FFT (Figure 11): Since communication is all-to-all rather than localized in the matrix transpose in FFT, the clustering accomplished by using SMP nodes reduces the amount of inherent remote communication by roughly a factor of k / p, where k is the number of processors in an SMP node, and n is the total number of processors.