Coverart for item
The Resource Defect Correction Methods : Theory and Applications, edited by Klaus Böhmer, Hans J. Stetter

Defect Correction Methods : Theory and Applications, edited by Klaus Böhmer, Hans J. Stetter

Label
Defect Correction Methods : Theory and Applications
Title
Defect Correction Methods
Title remainder
Theory and Applications
Statement of responsibility
edited by Klaus Böhmer, Hans J. Stetter
Creator
Contributor
Subject
Language
eng
Summary
Ten years ago, the term "defect correction" was introduced to characterize a class of methods for the improvement of an approximate solution of an operator equation. This class includes many well-known techniques (e.g. Newton's method) but also some novel approaches which have turned out to be quite efficient. Meanwhile a large number of papers and reports, scattered over many journals and institutions, have appeared in this area. Therefore, a working conference on "Error Asymptotics and Defect Corrections" was organized by K. Bohmer, V. Pereyra and H. J. Stetter at the Mathematisches Forschungsinstitut Oberwolfach in July 1983, a meeting which aimed at bringing together a good number of the scientists who are active in this field. Altogether 26 persons attended, whose interests covered a wide spectrum from theoretical analyses to applications where defect corrections may be utilized; a list of the participants may be found in the Appendix. Most of the colleagues who presented formal lectures at the meeting agreed to publish their reports in this volume. It would be presumptuous to call this book a state-of-the-art report in defect corrections. It is rather a collection of snapshots of activities which have been going on in a number of segments on the frontiers of this area. No systematic coverage has been attempted. Some articles focus strongly on the basic concepts of defect correction; but in the majority of the contributions the defect correction ideas appear rather as instruments for the attainment of some specified goal
Member of
http://library.link/vocab/creatorName
Böhmer, Klaus
Dewey number
518
Index
no index present
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Stetter, Hans J
Series statement
Computing Supplementum, 0344-8029
Series volume
5
http://library.link/vocab/subjectName
  • Mathematics
  • Chemistry
  • Global analysis (Mathematics)
  • Numerical analysis
  • Physics
  • Engineering
Label
Defect Correction Methods : Theory and Applications, edited by Klaus Böhmer, Hans J. Stetter
Instantiates
Publication
Color
not applicable
Contents
The Defect Correction Approach -- Defect Correction for Operator Equations -- Defect Correction Algorithms for Stiff Ordinary Differential Equations -- On a Principle of Direct Defect Correction Based on A-Posteriori Error Estimates -- Simultaneous Newton's Iteration for the Eigenproblem -- On Some Two-level Iterative Methods -- Multi-grid Methods -- Local Defect Correction Method and Domain Decomposition Techniques -- Fast Adaptive Composite Grid (FAC) Methods: Theory for the Variational Case -- Mixed Defect Correction Iteration for the Solution of a Singular Perturbation Problem -- Computation of Guaranteed High-accuracy Results -- Solution of Linear and Nonlinear Algebraic Problems with Sharp, Guaranteed Bounds -- Residual Correction and Validation in Functoids -- Defect Corrections in Applied Mathematics and Numerical Software -- Defect Corrections and Hartree-Fock Method -- Deferred Corrections Software and Its Application to Seismic Ray Tracing -- Numerical Engineering: Experiences in Designing PDE Software with Selfadaptive Variable Step Size/Variable Order Difference Methods
Control code
ocn840302828
Dimensions
unknown
Extent
1 online resource
Form of item
online
Isbn
9783709170236
Note
SpringerLink
Specific material designation
remote
System control number
(OCoLC)840302828
Label
Defect Correction Methods : Theory and Applications, edited by Klaus Böhmer, Hans J. Stetter
Publication
Color
not applicable
Contents
The Defect Correction Approach -- Defect Correction for Operator Equations -- Defect Correction Algorithms for Stiff Ordinary Differential Equations -- On a Principle of Direct Defect Correction Based on A-Posteriori Error Estimates -- Simultaneous Newton's Iteration for the Eigenproblem -- On Some Two-level Iterative Methods -- Multi-grid Methods -- Local Defect Correction Method and Domain Decomposition Techniques -- Fast Adaptive Composite Grid (FAC) Methods: Theory for the Variational Case -- Mixed Defect Correction Iteration for the Solution of a Singular Perturbation Problem -- Computation of Guaranteed High-accuracy Results -- Solution of Linear and Nonlinear Algebraic Problems with Sharp, Guaranteed Bounds -- Residual Correction and Validation in Functoids -- Defect Corrections in Applied Mathematics and Numerical Software -- Defect Corrections and Hartree-Fock Method -- Deferred Corrections Software and Its Application to Seismic Ray Tracing -- Numerical Engineering: Experiences in Designing PDE Software with Selfadaptive Variable Step Size/Variable Order Difference Methods
Control code
ocn840302828
Dimensions
unknown
Extent
1 online resource
Form of item
online
Isbn
9783709170236
Note
SpringerLink
Specific material designation
remote
System control number
(OCoLC)840302828

Library Locations

    • InternetBorrow it
      Albany, Auckland, 0632, NZ
Processing Feedback ...