000 | 02183cam a22003135a 4500 | ||
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001 | 18022611 | ||
005 | 20240818093013.0 | ||
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 |
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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 _hRDA-MOD |
||
999 |
_c22748 _d22720 |
||
336 |
_2rdacontent _atext _btxt |
||
337 |
_aunmediated _2rdamedia _bn |
||
338 |
_avolume _bnc _2rdacarrier |