Metropolis Algorithm
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Regular, local algorithm
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Local communication, perfect load balance using standard domain decomposition
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Efficiently parallelizable on SIMD and MIMD machines
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Swendsen-Wang Algorithm
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Irregular, non-local, multiple cluster algorithm
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Main computational task is to identify clusters - connected component labeling, also used in image processing
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Clusters are highly irregular (fractal) in shape, and of all sizes (usually including one large cluster covering much of the lattice)
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Efficient parallel component labeling is a very difficult problem - poor load balancing, lots of non-local communication
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Wolff Algorithm
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Irregular, non-local, single cluster algorithm
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Standard domain decomposition gives very poor load balance and very limited parallelism
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Traditional simple, regular, local algorithms parallelize efficiently
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Newer irregular, adaptive, non-local algorithms are better sequentially but often more difficult to parallelize
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