Lattice QCD and the Schwarz alternating procedure Export

@article{citeulike:3125628, abstract = {A numerical simulation algorithm for lattice QCD is described, in which the short- and long-distance effects of the sea quarks are treated separately. The algorithm can be regarded, to some extent, as an implementation at the quantum level of the classical Schwarz alternating procedure for the solution of elliptic partial differential equations. No numerical tests are reported here, but theoretical arguments suggest that the algorithm should work well also at small quark masses.}, archivePrefix = {arXiv}, author = {L\&\#xfc;scher, Martin}, citeulike-article-id = {3125628}, citeulike-linkout-0 = {http://arxiv.org/abs/hep-lat/0304007}, citeulike-linkout-1 = {http://arxiv.org/pdf/hep-lat/0304007}, comment = {As the pion mass decreases, the dirac operator becomes increasingly ill-conditioned. To deal with this, decompose the updating procedure into independent blocks, where the (small) block size acts as an "infared cutoff" which prevents the dirac operator from being ill-conditioned in that block. }, day = {10}, eprint = {hep-lat/0304007}, keywords = {lattice, preconditioner, theory, updating}, month = {Apr}, posted-at = {2008-08-15 14:48:13}, priority = {2}, title = {Lattice QCD and the Schwarz alternating procedure}, url = {http://arxiv.org/abs/hep-lat/0304007}, year = {2003} }

TY - JOUR ID - citeulike:3125628 L3 - citeulike-article-id:3125628 N2 - A numerical simulation algorithm for lattice QCD is described, in which the short- and long-distance effects of the sea quarks are treated separately. The algorithm can be regarded, to some extent, as an implementation at the quantum level of the classical Schwarz alternating procedure for the solution of elliptic partial differential equations. No numerical tests are reported here, but theoretical arguments suggest that the algorithm should work well also at small quark masses. TI - Lattice QCD and the Schwarz alternating procedure KW - lattice KW - preconditioner KW - theory KW - updating N1 - As the pion mass decreases, the dirac operator becomes increasingly ill-conditioned. To deal with this, decompose the updating procedure into independent blocks, where the (small) block size acts as an "infared cutoff" which prevents the dirac operator from being ill-conditioned in that block. AU - Lüscher, Martin PY - 2003/Apr/10/ UR - http://arxiv.org/abs/hep-lat/0304007 ER -