Collaborative Research: Multigrid QCD at the Petascale

提案标题：合作研究：Petascale研究所的多重网格QCD：波士顿大学的托管人摘要日期：晶格上量子色动力学的10/10/070749300Brower0749202Brannick0749317McCormickNumerical解决方案对于标准模型的高精度实验测试和对核物质的从头计算理解至关重要。这些计算的核心包括求逆狄拉克矩阵，随着晶格的细化，狄拉克矩阵变得越来越病态。因此，尽管Terascale计算硬件暴露了这种新物理，但它无法完全适应它。另一方面，如果在这次更精细的微销售中重新制定格子QCD算法来开发和揭示物理学，Petascale硬件确实有潜力开启物理学发现的新纪元。该奖项汇集了应用数学和理论物理领域的领先专家的密切合作，通过为QCD模拟应用新的多层次算法来应对这一挑战。拟议的多重网格量子色动力学计划(MGQCD)的中心任务是：开发新的、更健壮的多重网格方法，以实现更复杂和更高保真的格子QCD计算；支持它们迁移到Petascale模拟；并通过突出多重网格方法的协作研究和演绎活动，吸引更广泛的科学界。国家科学基础

Proposal Title: Collaborative Research: Multigrid QCD at the PetascaleInstitution: Trustees of Boston UniversityAbstract Date: 10/10/070749300Brower0749202Brannick0749317McCormickNumerical solutions to Quantum Chromodynamcs on a lattice are critical to highprecision experimental tests of the standard model and an ab-initio understanding ofnuclear matter. The core of these calculations involves inverting a Dirac matrix whichbecomes increasingly ill conditioned as the lattice is refined. Consequently whileTerascale computing hardware has exposed this new physics, it is incapable of fullyaccommodating it. On the other hand, if lattice QCD algorithms are reformulated toexploit and reveal the physics at this finer microsale, Petascale hardware does have thepotential for opening up a new era of physics discovery. This award brings together aclose collaboration of leading experts in applied mathematics and theoretical physics tomeet this challenge by the application of new multi-level algorithms for QCDsimulations. The central mission of the proposed Multigrid QuantumChromodynamics at the Petascale project (MGQCD) is: to develop new and significantlymore robust multigrid methods for enabling more complex and higher fidelity physics forlattice QCD calculations; to support their migration into Petascale simulations; and toengage the broader scientific community through collaborative research andeducational activities that highlight the multigrid methodology.NATIONAL SCIENCE FOUNDATIONProposal Abstract