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The Resource The concept of stability in numerical mathematics, by Wolfgang Hackbusch

The concept of stability in numerical mathematics, by Wolfgang Hackbusch

Label
The concept of stability in numerical mathematics
Title
The concept of stability in numerical mathematics
Statement of responsibility
by Wolfgang Hackbusch
Creator
Author
Subject
Language
eng
Summary
Annotation
Member of
Cataloging source
N$T
http://library.link/vocab/creatorDate
1948-
http://library.link/vocab/creatorName
Hackbusch, W.
Dewey number
518
Index
no index present
LC call number
QA297
Literary form
non fiction
Nature of contents
dictionaries
NLM call number
Online Book
Series statement
Springer series in computational mathematics
Series volume
45
http://library.link/vocab/subjectName
  • Numerical analysis
  • Stability
  • Mathematical Computing
  • MATHEMATICS
  • Numerical analysis
  • Stability
Summary expansion
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
Label
The concept of stability in numerical mathematics, by Wolfgang Hackbusch
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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
Control code
870532463
Dimensions
unknown
Extent
1 online resource.
File format
unknown
Form of item
online
Isbn
9783642393860
Lccn
2014931977
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-642-39386-0
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)870532463
Label
The concept of stability in numerical mathematics, by Wolfgang Hackbusch
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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
Control code
870532463
Dimensions
unknown
Extent
1 online resource.
File format
unknown
Form of item
online
Isbn
9783642393860
Lccn
2014931977
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-642-39386-0
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)870532463

Library Locations

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      38.944491 -92.326012
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