@MISC{_abstractcache, author = {}, title = {Abstract Cache Oblivious Stencil Computations}, year = {} }
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Abstract
We present a cache oblivious algorithm for stencil computations, which arise for example in finite-difference methods. Our algorithm applies to arbitrary stencils in n-dimensional spaces. On an “ideal cache ” of size Z, our algorithm saves a factor of Θ(Z 1/n) cache misses compared to a naive algorithm, and it exploits temporal locality optimally throughout the entire memory hierarchy. 1