Coverart for item
The Resource Numerical analysis of multiscale computations : proceedings of a Winter Workshop at the Banff International Research Station 2009, Björn Engquist, Olof Runborg, Yen-Hsi R. Tsai, editors

Numerical analysis of multiscale computations : proceedings of a Winter Workshop at the Banff International Research Station 2009, Björn Engquist, Olof Runborg, Yen-Hsi R. Tsai, editors

Label
Numerical analysis of multiscale computations : proceedings of a Winter Workshop at the Banff International Research Station 2009
Title
Numerical analysis of multiscale computations
Title remainder
proceedings of a Winter Workshop at the Banff International Research Station 2009
Statement of responsibility
Björn Engquist, Olof Runborg, Yen-Hsi R. Tsai, editors
Creator
Contributor
Subject
Genre
Language
eng
Summary
This book is a snapshot of current research in multiscale modeling, computations and applications. It covers fundamental mathematical theory, numerical algorithms as well as practical computational advice for analysing single and multiphysics models containing a variety of scales in time and space. Complex fluids, porous media flow and oscillatory dynamical systems are treated in some extra depth, as well as tools like analytical and numerical homogenization, and the fast multipole method
Member of
Cataloging source
GW5XE
Dewey number
518
Index
no index present
Language note
English
LC call number
QA297
LC item number
.W67 2012
Literary form
non fiction
http://bibfra.me/vocab/lite/meetingDate
2009
http://bibfra.me/vocab/lite/meetingName
Workshop on Numerical Analysis and Multiscale Computations
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1945-
http://library.link/vocab/relatedWorkOrContributorName
  • Engquist, Björn
  • Runborg, Olof
  • Tsai, Yen-Hsi R
Series statement
Lecture notes in computational science and engineering,
Series volume
vol. 82
http://library.link/vocab/subjectName
  • Numerical analysis
  • Multiscale modeling
  • Mathematical Concepts
  • Mathematics
  • MATHEMATICS
  • Multiscale modeling
  • Numerical analysis
Label
Numerical analysis of multiscale computations : proceedings of a Winter Workshop at the Banff International Research Station 2009, Björn Engquist, Olof Runborg, Yen-Hsi R. Tsai, editors
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references
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
  • Numerical Analysis of Multiscale Computations; Preface; Acknowledgements; Contents; Explicit Methods for Stiff Stochastic Differential Equations; 1 Introduction; 2 Stiff Stochastic Systems and Stability; 3 Chebyshev Methods; 4 The S-ROCK Methods; 4.1 Construction of the S-ROCK Methods; 4.2 Accuracy of the S-ROCK Methods; 5 Extended Mean-Square Stability and Damping; 6 Numerical Illustrations; References; Oscillatory Systems with Three Separated Time Scales:Analysis and Computation; 1 Introduction; 2 Effective Behavior Across Different Time Scales; 2.1 Slowly Changing Quantities
  • 2.2 Multiscale Charts3 A Homogenization Approach; 3.1 A Two Scales Example; 3.2 Three Scales: Example 1; 3.3 Three Scales: Example 2; 3.4 Observations; 4 Numerical Algorithms; 4.1 Accuracy and Efficiency; 5 Examples; 5.1 Harmonic Oscillators; 5.2 An Example Motivated by the Fermi-Pasta-Ulam (FPU) Problem; 6 Summary; References; Variance Reduction in Stochastic Homogenization: The Technique of Antithetic Variables; 1 Introduction; 1.1 Homogenization Theoretical Setting; 1.2 Numerical Approach; 1.3 The Technique of Antithetic Variables; 1.4 A Brief Summary of Our Former Results
  • 2 Variance Reduction for Problems Involving Correlations or Anisotropy2.1 Correlated Cases; 2.1.1 Influence of Correlation: Identical Local Behaviour; 2.1.2 Centered vs Equidistributed Correlation Structure; 2.1.3 Longer Correlation Lengths; 2.2 Anisotropic Cases; 2.2.1 Test Cases; 2.2.2 Numerical Results; 3 Variance Reduction for Eigenproblems; References; A Stroboscopic Numerical Method for HighlyOscillatory Problems; 1 Introduction; 2 A Modified Equation Approach to Averaging; 3 A Numerical Method; 4 Examples; 5 Numerical Experiments; 5.1 Constant Step-Sizes; 5.2 Variable Step-Sizes
  • 4.1 Series Expansion of the Time-Independent Response4.2 Properties of Qm,0F and m,0F for Small Amplitude Defects; 4.3 Dielectric Operator and Macroscopic DielectricPermittivity; 4.4 Time-Dependent Response; References; Fast Multipole Method Using the Cauchy Integral Formula; 1 Introduction; 2 Cauchy's Integral Formula and Low-Rank Approximations; 3 Connection with Fourier and Laplace Transforms; 4 Construction of Fast Methods; 5 Interpolation and Anterpolation; 6 Error Analysis; 7 Detailed Error Analysis; 8 Preliminary Numerical Results; 9 Conclusion; References
Control code
758652899
Dimensions
unknown
Extent
1 online resource (x, 421 pages).
File format
unknown
Form of item
online
Isbn
9783642219436
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-642-21943-6
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)758652899
Label
Numerical analysis of multiscale computations : proceedings of a Winter Workshop at the Banff International Research Station 2009, Björn Engquist, Olof Runborg, Yen-Hsi R. Tsai, editors
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references
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
  • Numerical Analysis of Multiscale Computations; Preface; Acknowledgements; Contents; Explicit Methods for Stiff Stochastic Differential Equations; 1 Introduction; 2 Stiff Stochastic Systems and Stability; 3 Chebyshev Methods; 4 The S-ROCK Methods; 4.1 Construction of the S-ROCK Methods; 4.2 Accuracy of the S-ROCK Methods; 5 Extended Mean-Square Stability and Damping; 6 Numerical Illustrations; References; Oscillatory Systems with Three Separated Time Scales:Analysis and Computation; 1 Introduction; 2 Effective Behavior Across Different Time Scales; 2.1 Slowly Changing Quantities
  • 2.2 Multiscale Charts3 A Homogenization Approach; 3.1 A Two Scales Example; 3.2 Three Scales: Example 1; 3.3 Three Scales: Example 2; 3.4 Observations; 4 Numerical Algorithms; 4.1 Accuracy and Efficiency; 5 Examples; 5.1 Harmonic Oscillators; 5.2 An Example Motivated by the Fermi-Pasta-Ulam (FPU) Problem; 6 Summary; References; Variance Reduction in Stochastic Homogenization: The Technique of Antithetic Variables; 1 Introduction; 1.1 Homogenization Theoretical Setting; 1.2 Numerical Approach; 1.3 The Technique of Antithetic Variables; 1.4 A Brief Summary of Our Former Results
  • 2 Variance Reduction for Problems Involving Correlations or Anisotropy2.1 Correlated Cases; 2.1.1 Influence of Correlation: Identical Local Behaviour; 2.1.2 Centered vs Equidistributed Correlation Structure; 2.1.3 Longer Correlation Lengths; 2.2 Anisotropic Cases; 2.2.1 Test Cases; 2.2.2 Numerical Results; 3 Variance Reduction for Eigenproblems; References; A Stroboscopic Numerical Method for HighlyOscillatory Problems; 1 Introduction; 2 A Modified Equation Approach to Averaging; 3 A Numerical Method; 4 Examples; 5 Numerical Experiments; 5.1 Constant Step-Sizes; 5.2 Variable Step-Sizes
  • 4.1 Series Expansion of the Time-Independent Response4.2 Properties of Qm,0F and m,0F for Small Amplitude Defects; 4.3 Dielectric Operator and Macroscopic DielectricPermittivity; 4.4 Time-Dependent Response; References; Fast Multipole Method Using the Cauchy Integral Formula; 1 Introduction; 2 Cauchy's Integral Formula and Low-Rank Approximations; 3 Connection with Fourier and Laplace Transforms; 4 Construction of Fast Methods; 5 Interpolation and Anterpolation; 6 Error Analysis; 7 Detailed Error Analysis; 8 Preliminary Numerical Results; 9 Conclusion; References
Control code
758652899
Dimensions
unknown
Extent
1 online resource (x, 421 pages).
File format
unknown
Form of item
online
Isbn
9783642219436
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-642-21943-6
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)758652899

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