Format:
xv, 188 Seiten
,
235 mm x 155 mm
ISBN:
3642393853
,
9783642393853
,
9783662513712
Series Statement:
Springer series in computational mathematics 45
Content:
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
Note:
Literaturangaben
,
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.
Additional Edition:
9783642393860
Additional Edition:
Erscheint auch als Online-Ausgabe Hackbusch, Wolfgang, 1948 - The Concept of Stability in Numerical Mathematics Berlin, Heidelberg : Springer Berlin Heidelberg, 2014 9783642393860
Language:
English
Subjects:
Mathematics
Keywords:
Numerisches Verfahren
;
Stabilität
;
Diskretisierung
;
Partielle Differentialgleichung
;
Elliptische Differentialgleichung
DOI:
10.1007/978-3-642-393
Bookmarklink