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
Contributor
Author
Provider
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
http://library.link/vocab/creatorName
Hackbusch, Wolfgang
Image bit depth
0
LC call number
QA297-299.4
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
Series statement
Applied Mathematical Sciences,
Series volume
95
http://library.link/vocab/subjectName
  • Mathematics
  • Matrix theory
  • Algebra
  • Partial differential equations
  • Numerical analysis
  • Mathematics
  • Numerical Analysis
  • Linear and Multilinear Algebras, Matrix Theory
  • Partial Differential Equations
Label
Iterative Solution of Large Sparse Systems of Equations, by Wolfgang Hackbusch, (electronic resource)
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
Dimensions
unknown
Edition
2nd ed. 2016.
Extent
XXIII, 509 p. 26 illus., 11 illus. in color.
File format
multiple file formats
Form of item
electronic
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
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-28483-5
Label
Iterative Solution of Large Sparse Systems of Equations, by Wolfgang Hackbusch, (electronic resource)
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
Dimensions
unknown
Edition
2nd ed. 2016.
Extent
XXIII, 509 p. 26 illus., 11 illus. in color.
File format
multiple file formats
Form of item
electronic
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
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-28483-5

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