000 02241cam a2200337 i 4500
001 18022611
003 EG-ScBUE
005 20241029094517.0
008 140129t2014 gw a f b 001 0 eng d
020 _a9783642393853
040 _aUKMGB
_beng
_erda
_cUKMGB
_dOCLCO
_dYDXCP
_dBTCTA
_dGZM
_dXFF
_dMCS
_dOHX
_dDLC
_dEG-ScBUE
082 0 4 _a518
_222
_bHAC
100 1 _aHackbusch, W.,
_d1948-
_eauthor.
245 1 4 _aThe concept of stability in numerical mathematics /
_cWolfgang Hackbusch.
264 1 _aBerlin :
_bSpringer-Verlag,
_c[2014]
264 4 _cc2014
300 _axv, 188 pages :
_billustrations ;
_c25 cm.
336 _2rdacontent
_atext
_btxt
337 _aunmediated
_2rdamedia
_bn
338 _avolume
_bnc
_2rdacarrier
490 0 _aSpringer series in computational mathematics ;
_x0179-3632,
_v45
504 _aIncludes bibliographical references and index.
505 0 _aPreface -- Introduction -- Stability of Finite Algorithms -- Quadrature -- Interpolation -- Ordinary Differential Equations -- Instationary Partial Difference Equations -- Stability for Discretisations of Elliptic Problems -- Stability for Discretisations of Integral Equations -- Index.
520 _aIn this book, the author compares the meaning of stability in different subfields of numerical mathematics. Concept of Stability in numerical mathematics opens by examining the stability of finite algorithms. A more precise definition of stability holds for quadrature and interpolation methods, which the following chapters focus on. The discussion then progresses to the numerical treatment of ordinary differential equations (ODEs). While one-step methods for ODEs are always stable, this is not the case for hyperbolic or parabolic differential equations, which are investigated next. The final chapters discuss stability for discretisations of elliptic differential equations and integral equations. In comparison among the subfields we discuss the practical importance of stability and the possible conflict between higher consistency order and stability.
650 7 _aNumerical analysis.
_2BUEsh
_9465
650 7 _aStability.
_2BUEsh
_96101
651 _2BUEsh
653 _bCOMSCI
_cOctober2016
655 _vReading book
942 _2ddc
_cBB
999 _c22748
_d22720