02776nam 22003855a 450 991015192960332120101201234500.03-03719-591-610.4171/091(CKB)3710000000953862(CH-001817-3)125-101201(PPN)178155845(EXLCZ)99371000000095386220101201j20101201 fy 0engurnn|mmmmamaatxtrdacontentcrdamediacrrdacarrierEfficient Numerical Methods for Non-local Operators[electronic resource] ℋ2-Matrix Compression, Algorithms and Analysis Corrected 2nd printing, September 2013 /Steffen BörmZuerich, Switzerland European Mathematical Society Publishing House20101 online resource (441 pages)EMS Tracts in Mathematics (ETM)14Hierarchical 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. ℋ2-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 ℋ2-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.Calculus & mathematical analysisbicsscNumerical analysismscCalculus & mathematical analysisNumerical analysis65-xxmscBörm Steffen1055976ch0018173BOOK9910151929603321Efficient Numerical Methods for Non-local Operators2565745UNINA01829nam 2200361 450 991044445820332120231215124319.01-5044-7467-8(CKB)5590000000438930(NjHacI)995590000000438930(EXLCZ)99559000000043893020231215d2020 uy 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierC62.92.5-2020 - IEEE guide for the application of neutral grounding in electrical utility systems--part v: transmission systems and subtransmission systems - redline /IEEE[Place of publication not identified] :IEEE,2020.1 online resourceBasic factors and general considerations in selecting the class and means of neutral grounding for a particular ac transmission or subtransmission system are covered in this guide. An apparatus to be used to achieve the desired grounding is suggested, and methods for specifying the grounding devices are given. Transformer tertiary systems, equipment-neutral grounding, and the effects of series compensation on grounding are discussed.C62.92.5-2020 - IEEE Guide for the Application of Neutral Grounding in Electrical Utility Systems--Part VElectric power system stabilityElectric currentsGroundingElectric power system stability.Electric currentsGrounding.621.319NjHacINjHaclDOCUMENT9910444458203321C62.92.5-2020 - IEEE Guide for the Application of Neutral Grounding in Electrical Utility Systems--Part V: Transmission Systems and Subtransmission Systems - Redline2582248UNINA