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03046aam a22003618i 4500 001 287B43A85D1D11EA9B49BA2197128E48 003 SILO 005 20200303010150 008 191017t20202020pauad b 001 0 eng 010 $a 2019034974 020 $a 1611976030 020 $a 9781611976038 035 $a (OCoLC)1124797722 040 $a DLC $b eng $e rda $c DLC $d OCLCO $d YDX $d OCLCF $d GZM $d CUF $d CHVBK $d UKMGB $d IWA $d SILO 042 $a pcc 050 00 $a QA377 M283365 2020 100 1 $a Martinsson, Per-Gunnar $e author. 245 10 $a Fast direct solvers for elliptic PDEs / $c Per-Gunnar Martinsson. 246 3 $a Fast direct solvers for elliptic partial differential equations 264 1 $a Philadelphia, PA : $b Society for Industrial and Applied Mathematics, $c [2020] 300 $a xv, 315 pages : $b illustrations, charts ; $c 25 cm. 490 1 $a CBMS-NSF regional conference series in applied math ; $v 96 504 $a Includes bibliographical references (pages 301-311) and index. 505 0 $a Scope and aims -- How global operators rise in solvers for elliptic PDEs -- I. Linear algebra -- Matrix factorizations and low-rank approximation -- Randomized methods for low-rank approximation -- Fast algorithms for rank-structured matices -- II. The fast multipole method -- Fast summation and multipole expansions -- The fast multipole method -- Extensions and improvements to the basic FMM -- The potential evaluation map -- III. Integral equation methods -- Integral equation formulations -- Extensions of integral equation-based methods -- Discretization of integral equations -- IV. Fast direct solvers for integral equations -- A simple direct solver for integral equations -- A multilevel scheme -- Additional topics on HBS matrices -- Interpolative decompositions and skeletonization -- Constructing a rank-structured representation of a matrix -- Direct solvers based on discrete scattering matrices -- V. Fast direct solvers for sparse matrices -- An introduction to fast solvers for linear elliptic PDEs -- Direct sparse solvers -- Fast direct sparse solvers -- Linear complexity "sweeping" schemes -- A geometry-based view of nested dissection -- Spectral collocation methods -- The hierarchical PoincareÌ-Steklove (HPS) method -- Extensions of the HPS method -- Fast solvers for elliptic problems of lattices 520 $a "This is a book about how to efficiently solve elliptic partial differential equations numerically"-- $c Provided by publisher. 650 0 $a Differential equations, Elliptic $x Numerical solutions. 650 0 $a Differential equations, Partial $x Numerical solutions. 776 08 $i Online version: $a Martinsson, Per-Gunnar, $t Fast direct solvers for elliptic pdes $d Philadelphia : Society for Industrial and Applied Mathematics, 2019. $z 9781611976045 $w (DLC) 2019034975 830 0 $a CBMS-NSF regional conference series in applied mathematics; $v 96. 941 $a 1 952 $l USUX851 $d 20220602021125.0 956 $a http://locator.silo.lib.ia.us/search.cgi?index_0=id&term_0=287B43A85D1D11EA9B49BA2197128E48 994 $a C0 $b IWAInitiate Another SILO Locator Search