LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	518
Title	The Concept of Stability in Numerical Mathematics ([Ebook]) / by Wolfgang Hackbusch.
Author	Hackbusch, Wolfgang
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg Springer 2014.
Physical Details	XV, 188 pages : online resource.
ISBN	9783642393860
Summary Note	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. :
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions and access ia available through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-642-39386-0
Links to Related Works	Subject References: Differential equations, Partial . Integral Equations . Mathematics . Numerical Analysis . Partial differential equations . Authors: Hackbusch, Wolfgang . Hackbusch, Wolfgang. 1948- . Corporate Authors: SpringerLink (Online service) . Series: Springer Series in Computational Mathematics . Classification: 518 . 518 (DDC 23) .

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The Concept of Stability in Numerical Mathematics

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