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020 a| 9783642393853 (hardback);

020 a| 3642393853 (hardback);

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020 a| 3642393861 (ebk.);

024 7 a| 10.1007/978-3-642-39386-02| doi;

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100 1 a| Hackbusch, W.,d| 1948-=| ^A193906;

245 14 a| The concept of stability in numerical mathematicsh| [electronic resource] /c| Wolfgang Hackbusch.;

260 a| Heidelberg ;a| New York :b| Springer,c| [2014];

300 a| xv, 188 pages ;c| 25 cm.;

347 a| text fileb| PDF2| rda;

490 1 a| Springer series in computational mathematics,x| 0179-3632 ;v| 45;

504 a| Includes bibliographical references and index.;

505 0 a| 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.;

506 a| Available only to authorized users.;

520 a| 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.;

538 a| Mode of access: World Wide Web;

650 0 a| Numerical analysis.=| ^A38;

650 0 a| Stability.=| ^A15525;

655 0 a| Electronic books.=| ^A491897;

830 0 a| Springer series in computational mathematics ;v| 45.x| 0179-3632=| ^A268049;

856 40 z| Full text available from Springer Booksu| https://go.openathens.net/redirector/ecu.edu?url=https%3A%2F%2Flink.springer.com%2F10.1007%2F978-3-642-39386-0;

856 40 z| Full text available from Springer Nature - Springer Mathematics and Statistics eBooks 2014 English Internationalu| https://go.openathens.net/redirector/ecu.edu?url=https%3A%2F%2Flink.springer.com%2F10.1007%2F978-3-642-39386-0;

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The concept of stability in numerical mathematics / Wolfgang Hackbusch.

Author/creator	Hackbusch, W., 1948-
Format	Electronic
Publication Info	Heidelberg ; New York : Springer, [2014]
Description	xv, 188 pages ; 25 cm.
Supplemental Content	Full text available from Springer Books
Supplemental Content	Full text available from Springer Nature - Springer Mathematics and Statistics eBooks 2014 English International
Subjects	Numerical analysis. Stability.

Series	Springer series in computational mathematics, 0179-3632 ; 45 Springer series in computational mathematics ; 45. 0179-3632 ^A268049
Contents	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.
Abstract	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.
Bibliography note	Includes bibliographical references and index.
Access restriction	Available only to authorized users.
Technical details	Mode of access: World Wide Web
Genre/form	Electronic books.
LCCN	2014931977
ISBN	9783642393853 (hardback)
ISBN	3642393853 (hardback)
ISBN	9783642393860 (ebk.)
ISBN	3642393861 (ebk.)
Standard identifier#	10.1007/978-3-642-39386-0

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The concept of stability in numerical mathematics / Wolfgang Hackbusch.

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