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100   $a20101201j20101201  fy             0
101 0 $aeng
135   $aurnn|mmmmamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aEfficient Numerical Methods for Non-local Operators$b[electronic resource] $e?2-Matrix Compression, Algorithms and Analysis  Corrected 2nd printing, September 2013 /$fSteffen Bo?rm
210 3 $aZuerich, Switzerland $cEuropean Mathematical Society Publishing House$d2010
215   $a1 online resource (441 pages)
225 0 $aEMS Tracts in Mathematics (ETM)$v14
330   $aHierarchical matrices present an efficient way of treating dense matrices  that arise in the context of integral equations, elliptic partial  differential equations, and control theory.    While a dense n × n matrix in standard representation requires  n2 units of storage, a hierarchical matrix can approximate the  matrix in a compact representation requiring only O(nk?log?n) units  of storage, where k is a parameter controlling the accuracy.  Hierarchical matrices have been successfully applied to approximate  matrices arising in the context of boundary integral methods, to  construct preconditioners for partial differential equations, to  evaluate matrix functions and to solve matrix equations used in control  theory.  ?2-matrices  offer a refinement of hierarchical matrices: using a  multilevel representation of submatrices, the efficiency can be  significantly improved, particularly for large problems.      This books gives an introduction to the basic concepts and presents a  general framework that can be used to analyze the complexity and  accuracy of ?2-matrix techniques.  Starting from basic ideas of numerical linear  algebra and numerical analysis, the theory is developed in a straightforward and systematic way, accessible to advanced students and researchers  in numerical mathematics and scientific computing. Special techniques are only required  in isolated sections, e.g., for certain classes of model problems.
606   $aCalculus & mathematical analysis$2bicssc
606   $aNumerical analysis$2msc
615 07$aCalculus & mathematical analysis
615 07$aNumerical analysis
686   $a65-xx$2msc
700   $aBo?rm$b Steffen$01055976
801  0$bch0018173
906   $aBOOK
912   $a9910151929603321
996   $aEfficient Numerical Methods for Non-local Operators$92565745
997   $aUNINA