Coverart for item
The Resource Iterative Solution of Large Sparse Systems of Equations, by Wolfgang Hackbusch, (electronic resource)

Iterative Solution of Large Sparse Systems of Equations, by Wolfgang Hackbusch, (electronic resource)

Label
Iterative Solution of Large Sparse Systems of Equations
Title
Iterative Solution of Large Sparse Systems of Equations
Statement of responsibility
by Wolfgang Hackbusch
Creator
Subject
Language
eng
Summary
In the second edition of this classic monograph, complete with four new chapters and updated references, readers will now have access to content describing and analysing classical and modern methods with emphasis on the algebraic structure of linear iteration, which is usually ignored in other literature. The necessary amount of work increases dramatically with the size of systems, so one has to search for algorithms that most efficiently and accurately solve systems of, e.g., several million equations. The choice of algorithms depends on the special properties the matrices in practice have. An important class of large systems arises from the discretization of partial differential equations. In this case, the matrices are sparse (i.e., they contain mostly zeroes) and well-suited to iterative algorithms. The first edition of this book grew out of a series of lectures given by the author at the Christian-Albrecht University of Kiel to students of mathematics. The second edition includes quite novel approaches.--
Member of
Assigning source
Provided by publisher
http://library.link/vocab/creatorDate
1948-
http://library.link/vocab/creatorName
Hackbusch, W.
Dewey number
223
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
Series statement
  • Applied Mathematical Sciences,
  • Springer eBooks
Series volume
95
http://library.link/vocab/subjectName
  • Mathematics
  • Matrix theory
  • Algebra
  • Partial differential equations
  • Numerical analysis
Label
Iterative Solution of Large Sparse Systems of Equations, by Wolfgang Hackbusch, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-3-319-28483-5
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier.
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent.
Contents
Part I: Linear Iterations -- Introduction -- Iterative Methods -- Classical Linear Iterations in the Positive Definite Case -- Analysis of Classical Iterations Under Special Structural Conditions -- Algebra of Linear Iterations -- Analysis of Positive Definite Iterations -- Generation of Iterations. Part II: Semi-Iterations and Krylov Methods -- Semi-Iterative Methods -- Gradient Methods -- Conjugate Gradient Methods and Generalizations -- Part III: Special Iterations -- Multigrid Iterations -- Domain Decomposition and Subspace Methods -- H-LU Iteration -- Tensor-based Methods -- Appendices
Control code
978-3-319-28483-5
Dimensions
unknown
Edition
2nd ed. 2016.
Extent
1 online resource (XXIII, 509 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319284835
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
c
Other control number
10.1007/978-3-319-28483-5
Other physical details
26 illustrations, 11 illustrations in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)952572240
Label
Iterative Solution of Large Sparse Systems of Equations, by Wolfgang Hackbusch, (electronic resource)
Link
http://ezproxy.eui.eu/login?url=http://dx.doi.org/10.1007/978-3-319-28483-5
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier.
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent.
Contents
Part I: Linear Iterations -- Introduction -- Iterative Methods -- Classical Linear Iterations in the Positive Definite Case -- Analysis of Classical Iterations Under Special Structural Conditions -- Algebra of Linear Iterations -- Analysis of Positive Definite Iterations -- Generation of Iterations. Part II: Semi-Iterations and Krylov Methods -- Semi-Iterative Methods -- Gradient Methods -- Conjugate Gradient Methods and Generalizations -- Part III: Special Iterations -- Multigrid Iterations -- Domain Decomposition and Subspace Methods -- H-LU Iteration -- Tensor-based Methods -- Appendices
Control code
978-3-319-28483-5
Dimensions
unknown
Edition
2nd ed. 2016.
Extent
1 online resource (XXIII, 509 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319284835
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia.
Media type code
c
Other control number
10.1007/978-3-319-28483-5
Other physical details
26 illustrations, 11 illustrations in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)952572240

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