000			02048cam a22002775a 4500
001			18022611
005			20201128023921.0
008			140129t2014 gw a frb 001 0 eng d
020			_a9783642393853
040			_aUKMGB _beng _cUKMGB _dOCLCO _dYDXCP _dBTCTA _dGZM _dXFF _dMCS _dOHX _dDLC _dEG-ScBUE
082	0	4	_a518 _222 _bHAC
100	1		_aHackbusch, W., _d1948-
245	1	4	_aThe concept of stability in numerical mathematics / _cWolfgang Hackbusch.
260			_aBerlin : _bSpringer-Verlag, _cc.2014.
300			_axv, 188 p. : _bill. ; _c25 cm.
490	0		_aSpringer series in computational mathematics, _x0179-3632 ; _v45.
500			_aIndex : p. 185-188.
504			_aIncludes bibliographical references.
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
942			_2ddc
999			_c22748 _d22720