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These methods are kernels in simulations based on formulations of partial differential equations, integral equations, and interacting particles-true scientific and engineering workhorses. ... There is evidence (e.g., in the form of many Gordon Bell Prizes) that fast multipole methods and their treecode cousins fare well on emerging architectures. ... Acknowledgements A. Litvinenko is a member of the KAUST SRI Center for Uncertainty Quantification in Computational Science and Engineering. ...fatcat:rdvlyeogwjbnzk6p2j6lzm2see