02241cam a2200337 i 4500 18022611 EG-ScBUE 20241029094517.0 140129t2014 gw a f b 001 0 eng d 9783642393853 UKMGB eng rda UKMGB OCLCO YDXCP BTCTA GZM XFF MCS OHX DLC EG-ScBUE 518 22 HAC Hackbusch, W., 1948- author. The concept of stability in numerical mathematics / Wolfgang Hackbusch. Berlin : Springer-Verlag, [2014] c2014 xv, 188 pages : illustrations ; 25 cm. rdacontent text txt unmediated rdamedia n volume nc rdacarrier Springer series in computational mathematics ; 0179-3632, 45 Includes bibliographical references and index. Preface -- 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. In 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. Numerical analysis. BUEsh 465 Stability. BUEsh 6101 BUEsh COMSCI October2016 Reading book ddc BB 22748 22720 0 0 ddc 0 0 Academic MAIN MAIN 1ST 2016-10-20 Purchase 1020.00 9155 1 2 518 HAC 000034351 2025-07-15 00:00:00 2019-12-09 1275.00 2016-10-20 BB