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The Concept of Stability in Numerical Mathematics
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, whi...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2014.
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| Edición: | 1st ed. 2014. |
| Colección: | Springer Series in Computational Mathematics,
45 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 001 | 978-3-642-39386-0 | ||
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| 008 | 140206s2014 gw | s |||| 0|eng d | ||
| 020 | |a 9783642393860 |9 978-3-642-39386-0 | ||
| 024 | 7 | |a 10.1007/978-3-642-39386-0 |2 doi | |
| 050 | 4 | |a QA297-299.4 | |
| 072 | 7 | |a PBKS |2 bicssc | |
| 072 | 7 | |a MAT021000 |2 bisacsh | |
| 072 | 7 | |a PBKS |2 thema | |
| 082 | 0 | 4 | |a 518 |2 23 |
| 100 | 1 | |a Hackbusch, Wolfgang. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 4 | |a The Concept of Stability in Numerical Mathematics |h [electronic resource] / |c by Wolfgang Hackbusch. |
| 250 | |a 1st ed. 2014. | ||
| 264 | 1 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg : |b Imprint: Springer, |c 2014. | |
| 300 | |a XV, 188 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Springer Series in Computational Mathematics, |x 2198-3712 ; |v 45 | |
| 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. | |
| 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. . | ||
| 650 | 0 | |a Numerical analysis. | |
| 650 | 0 | |a Differential equations. | |
| 650 | 0 | |a Integral equations. | |
| 650 | 1 | 4 | |a Numerical Analysis. |
| 650 | 2 | 4 | |a Differential Equations. |
| 650 | 2 | 4 | |a Integral Equations. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783642393877 |
| 776 | 0 | 8 | |i Printed edition: |z 9783642393853 |
| 776 | 0 | 8 | |i Printed edition: |z 9783662513712 |
| 830 | 0 | |a Springer Series in Computational Mathematics, |x 2198-3712 ; |v 45 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-642-39386-0 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||