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The reasoning is that the increase in arithmetic operations will be more than offset by the reduction in data transfers and the increase in concurrent floating-point units. To evaluate this conjecture, the arithmetic intensity of a class of high-order finite-volume discretizations for hyperbolic systems of conservation laws is theoretically analyzed for spatial discretizations from orders three through eight in arbitrary dimensions. Three cache models are considered: the limiting cases of no cache and infinite cache as well as a finite-sized cache model. Models are validated experimentally by measuring floating-point operations and data transfers on an IBM Blue Gene\/Q node. Theory and experiments demonstrate that high-order finite-volume methods will be able to provide increases in arithmetic intensity that will be necessary to make better utilization of on-node floating-point capability. <\/jats:p>","DOI":"10.1177\/1094342017691876","type":"journal-article","created":{"date-parts":[[2017,3,8]],"date-time":"2017-03-08T05:57:29Z","timestamp":1488952649000},"page":"25-52","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":3,"title":["On the arithmetic intensity of high-order finite-volume discretizations for hyperbolic systems of conservation laws"],"prefix":"10.1177","volume":"33","author":[{"given":"J","family":"Loffeld","sequence":"first","affiliation":[{"name":"Center for Applied Scientific Computing, Lawrence Livermore National Laboratory, CA, USA"}]},{"given":"JAF","family":"Hittinger","sequence":"additional","affiliation":[{"name":"Center for Applied Scientific Computing, Lawrence Livermore National Laboratory, CA, USA"}]}],"member":"179","published-online":{"date-parts":[[2017,2,1]]},"reference":[{"volume-title":"BGPM - BG\/Q Hardware Perf Monitoring API","year":"2012","key":"bibr1-1094342017691876"},{"key":"bibr2-1094342017691876","unstructured":"Adams M, Colella P, Graves D, (2014) Chombo software package for AMR applications \u2013 design document. 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