The Resource Frontiers in Numerical Analysis : Durham 2002, edited by James Blowey, Alan Craig, Tony Shardlow, (electronic resource)

Frontiers in Numerical Analysis : Durham 2002, edited by James Blowey, Alan Craig, Tony Shardlow, (electronic resource)

Label
Frontiers in Numerical Analysis : Durham 2002
Title
Frontiers in Numerical Analysis
Title remainder
Durham 2002
Statement of responsibility
edited by James Blowey, Alan Craig, Tony Shardlow
Creator
Contributor
Editor
Editor
Subject
Language
  • eng
  • eng
Summary
This book contains detailed lecture notes on six topics at the forefront of current research in numerical analysis and applied mathematics. Each set of notes presents a self-contained guide to a current research area and has an extensive bibliography. In addition, most of the notes contain detailed proofs of the key results. The notes start from a level suitable for first year graduate students in applied mathematics, mathematical analysis or numerical analysis and proceed to current research topics. The reader should therefore be able to gain quickly an insight into the important results and techniques in each area without recourse to the large research literature. Current (unsolved) problems are also described and directions for future research are given. This book is also suitable for professional mathematicians who require a succint and accurate account of recent research in areas parallel to their own and graduates in mathematical sciences
Member of
http://bibfra.me/vocab/relation/corporateauthor
9NP7XtaqufQ
Dewey number
519.4
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsedt
  • Ne7TByQSbjo
  • 5_5C-3BcnMg
  • egUcJAGjLNM
Image bit depth
0
Language note
English
LC call number
QA319-329.9
Literary form
non fiction
Nature of contents
dictionaries
http://bibfra.me/vocab/lite/organizationName
LMS-EPSRC Numerical Analysis Summer School
http://library.link/vocab/relatedWorkOrContributorName
  • LMS-EPSRC Numerical Analysis Summer School
  • Blowey, James.
  • Craig, Alan.
  • Shardlow, Tony.
Series statement
Universitext,
http://library.link/vocab/subjectName
  • Functional analysis
  • Numerical analysis
  • Global analysis (Mathematics)
  • Computer science
  • Computer science
  • Functional Analysis
  • Numerical Analysis
  • Analysis
  • Computational Mathematics and Numerical Analysis
  • Computational Science and Engineering
Label
Frontiers in Numerical Analysis : Durham 2002, edited by James Blowey, Alan Craig, Tony Shardlow, (electronic resource)
Instantiates
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Bibliography note
Includes bibliographical references at the end of each chapters
Carrier category
online resource
Carrier category code
cr
Color
not applicable
Content category
text
Content type code
txt
Contents
Subgrid Phenomena and Numerical Schemes -- 1 Introduction -- 2 The Continuous Problem -- 3 From the Discrete Problem to the Augmented Problem -- 4 An Example of Error Estimates -- 5 Computational Aspects -- 6 Conclusions -- References -- Stability of Saddle-Points in Finite Dimensions -- 1 Introduction -- 2 Notation, and Basic Results in Linear Algebra -- 3 Existence and Uniqueness of Solutions: the Solvability Problem -- 4 The Case of Big Matrices. The Inf-Sup Condition -- 5 The Case of Big Matrices. The Problem of Stability -- 6 Additional Considerations -- References -- Mean Curvature Flow -- 1 Introduction -- 2 Some Geometric Analysis -- 3 Parametric Mean Curvature Flow -- 4 Mean Curvature Flow of Level Sets I -- 5 Mean Curvature Flow of Graphs -- 6 Anisotropic Curvature Flow of Graphs -- 7 Mean Curvature Flow of Level Sets II -- 7.2 Anisotropic Mean Curvature Flow of Level Sets -- References -- An Introduction to Algorithms for Nonlinear Optimization -- 1 Optimality Conditions and Why They Are Important -- 2 Linesearch Methods for Unconstrained Optimization -- 3 Trust-Region Methods for Unconstrained Optimization -- 4 Interior-Point Methods for Inequality Constrained Optimization -- 5 SQP Methods for Equality Constrained Optimization -- 6 Conclusion -- GniCodes - Matlab Programs for Geometric Numerical Integration -- 1 Problems to be Solved -- 2 Symplectic and Symmetric Integrators -- 3 Theoretical Foundation of Geometric Integrators -- 4 Matlab Programs of ‘GniCodes’ -- 5 Some Typical Applications -- References -- Numerical Approximations to Multiscale Solutions in PDEs -- 1 Introduction -- 2 Review of Homogenization Theory -- 3 Numerical Homogenization Based on Sampling Techniques -- 4 Numerical Homogenization Based on Multiscale FEMs -- 5 Wavelet-Based Homogenization (WBH) -- 6 Variational Multiscale Method -- References -- Numerical Methods for Eigenvalue and Control Problems -- 1 Introduction -- 2 Classical Techniques for Eigenvalue Problems -- 3 Basics of Linear Control Theory -- 4 Hamiltonian Matrices and Riccati Equations -- 5 Numerical Solution of Hamiltonian Eigenvalue Problems -- 6 Large Scale Problems -- 7 Conclusion -- References
Dimensions
unknown
Edition
1st ed. 2003.
Extent
1 online resource (XIV, 354 p. 32 illus., 1 illus. in color.)
File format
multiple file formats
Form of item
online
Isbn
9783642556920
Level of compression
uncompressed
Media category
computer
Media type code
c
Other control number
10.1007/978-3-642-55692-0
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3400000000103805
  • (SSID)ssj0000806345
  • (PQKBManifestationID)11440871
  • (PQKBTitleCode)TC0000806345
  • (PQKBWorkID)10747954
  • (PQKB)10355538
  • (DE-He213)978-3-642-55692-0
  • (MiAaPQ)EBC3090764
  • (EXLCZ)993400000000103805
Label
Frontiers in Numerical Analysis : Durham 2002, edited by James Blowey, Alan Craig, Tony Shardlow, (electronic resource)
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Bibliography note
Includes bibliographical references at the end of each chapters
Carrier category
online resource
Carrier category code
cr
Color
not applicable
Content category
text
Content type code
txt
Contents
Subgrid Phenomena and Numerical Schemes -- 1 Introduction -- 2 The Continuous Problem -- 3 From the Discrete Problem to the Augmented Problem -- 4 An Example of Error Estimates -- 5 Computational Aspects -- 6 Conclusions -- References -- Stability of Saddle-Points in Finite Dimensions -- 1 Introduction -- 2 Notation, and Basic Results in Linear Algebra -- 3 Existence and Uniqueness of Solutions: the Solvability Problem -- 4 The Case of Big Matrices. The Inf-Sup Condition -- 5 The Case of Big Matrices. The Problem of Stability -- 6 Additional Considerations -- References -- Mean Curvature Flow -- 1 Introduction -- 2 Some Geometric Analysis -- 3 Parametric Mean Curvature Flow -- 4 Mean Curvature Flow of Level Sets I -- 5 Mean Curvature Flow of Graphs -- 6 Anisotropic Curvature Flow of Graphs -- 7 Mean Curvature Flow of Level Sets II -- 7.2 Anisotropic Mean Curvature Flow of Level Sets -- References -- An Introduction to Algorithms for Nonlinear Optimization -- 1 Optimality Conditions and Why They Are Important -- 2 Linesearch Methods for Unconstrained Optimization -- 3 Trust-Region Methods for Unconstrained Optimization -- 4 Interior-Point Methods for Inequality Constrained Optimization -- 5 SQP Methods for Equality Constrained Optimization -- 6 Conclusion -- GniCodes - Matlab Programs for Geometric Numerical Integration -- 1 Problems to be Solved -- 2 Symplectic and Symmetric Integrators -- 3 Theoretical Foundation of Geometric Integrators -- 4 Matlab Programs of ‘GniCodes’ -- 5 Some Typical Applications -- References -- Numerical Approximations to Multiscale Solutions in PDEs -- 1 Introduction -- 2 Review of Homogenization Theory -- 3 Numerical Homogenization Based on Sampling Techniques -- 4 Numerical Homogenization Based on Multiscale FEMs -- 5 Wavelet-Based Homogenization (WBH) -- 6 Variational Multiscale Method -- References -- Numerical Methods for Eigenvalue and Control Problems -- 1 Introduction -- 2 Classical Techniques for Eigenvalue Problems -- 3 Basics of Linear Control Theory -- 4 Hamiltonian Matrices and Riccati Equations -- 5 Numerical Solution of Hamiltonian Eigenvalue Problems -- 6 Large Scale Problems -- 7 Conclusion -- References
Dimensions
unknown
Edition
1st ed. 2003.
Extent
1 online resource (XIV, 354 p. 32 illus., 1 illus. in color.)
File format
multiple file formats
Form of item
online
Isbn
9783642556920
Level of compression
uncompressed
Media category
computer
Media type code
c
Other control number
10.1007/978-3-642-55692-0
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)3400000000103805
  • (SSID)ssj0000806345
  • (PQKBManifestationID)11440871
  • (PQKBTitleCode)TC0000806345
  • (PQKBWorkID)10747954
  • (PQKB)10355538
  • (DE-He213)978-3-642-55692-0
  • (MiAaPQ)EBC3090764
  • (EXLCZ)993400000000103805

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