The Resource Multiscale Methods : Averaging and Homogenization, by Grigoris Pavliotis, Andrew Stuart, (electronic resource)

Multiscale Methods : Averaging and Homogenization, by Grigoris Pavliotis, Andrew Stuart, (electronic resource)

Label
Multiscale Methods : Averaging and Homogenization
Title
Multiscale Methods
Title remainder
Averaging and Homogenization
Statement of responsibility
by Grigoris Pavliotis, Andrew Stuart
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • eng
Summary
This introduction to multiscale methods gives readers a broad overview of the many uses and applications of the methods. The book begins by setting the theoretical foundations of the subject area, and moves on to develop a unified approach to the simplification of a wide range of problems which possess multiple scales, via perturbation expansions; differential equations and stochastic processes are studied in one unified framework. The book concludes with an overview of a range of theoretical tools used to justify the simplified models derived via the perturbation expansions. The presentation of the material is particularly suited to the range of mathematicians, scientists and engineers who want to exploit multiscale methods in applications. Extensive use of examples shows how to apply multiscale methods to solving a variety of problems. Exercises then enable readers to build their own skills and put them into practice. Extensions and generalizations of the results presented in the book, as well as references to the literature, are provided in the Discussion and Bibliography section at the end of each chapter. All of the twenty-one chapters are supplemented with exercises. Grigorios Pavliotis is a Lecturer of Mathematics at Imperial College London. Andrew Stuart is a Professor of Mathematics at Warwick University.
Member of
Is Subseries of
http://library.link/vocab/creatorName
Pavliotis, Grigoris
Dewey number
515.35
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • gwV2-t0ujTc
  • -YYi4g6T2A4
Language note
English
LC call number
QA299.6-433
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Stuart, Andrew.
Series statement
Texts in Applied Mathematics,
http://library.link/vocab/subjectName
  • Mathematical analysis
  • Analysis (Mathematics)
  • Partial differential equations
  • Probabilities
  • Applied mathematics
  • Engineering mathematics
  • Physics
  • Computer mathematics
  • Analysis
  • Partial Differential Equations
  • Probability Theory and Stochastic Processes
  • Mathematical and Computational Engineering
  • Mathematical Methods in Physics
  • Computational Science and Engineering
Label
Multiscale Methods : Averaging and Homogenization, by Grigoris Pavliotis, Andrew Stuart, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Background -- Analysis -- Probability Theory and Stochastic Processes -- Ordinary Differential Equations -- Markov Chains -- Stochastic Differential Equations -- Partial Differential Equations -- Perturbation Expansions -- Invariant Manifolds for ODEs -- Averaging for Markov Chains -- Averaging for ODEs and SDEs -- Homogenization for ODEs and SDEs -- Homogenization for Elliptic PDEs -- Homogenization for Parabolic PDEs -- Averaging for Linear Transport and Parabolic PDEs -- Theory -- Invariant Manifolds for ODEs: The Convergence Theorem -- Averaging for Markov Chains: The Convergence Theorem -- Averaging for SDEs: The Convergence Theorem -- Homogenization for SDEs: The Convergence Theorem -- Homogenization for Elliptic PDEs: The Convergence Theorem -- Homogenization for Elliptic PDEs: The Convergence Theorem -- Averaging for Linear Transport and Parabolic PDEs: The Convergence Theorem
Dimensions
unknown
Edition
1st ed. 2008.
Extent
1 online resource (313 p.)
Form of item
online
Isbn
9780387738291
Media category
computer
Media type code
  • c
Other control number
10.1007/978-0-387-73829-1
Specific material designation
remote
System control number
  • (CKB)1000000000492068
  • (EBL)3062899
  • (SSID)ssj0000319094
  • (PQKBManifestationID)11265722
  • (PQKBTitleCode)TC0000319094
  • (PQKBWorkID)10336595
  • (PQKB)11665495
  • (DE-He213)978-0-387-73829-1
  • (MiAaPQ)EBC3062899
  • (EXLCZ)991000000000492068
Label
Multiscale Methods : Averaging and Homogenization, by Grigoris Pavliotis, Andrew Stuart, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
Background -- Analysis -- Probability Theory and Stochastic Processes -- Ordinary Differential Equations -- Markov Chains -- Stochastic Differential Equations -- Partial Differential Equations -- Perturbation Expansions -- Invariant Manifolds for ODEs -- Averaging for Markov Chains -- Averaging for ODEs and SDEs -- Homogenization for ODEs and SDEs -- Homogenization for Elliptic PDEs -- Homogenization for Parabolic PDEs -- Averaging for Linear Transport and Parabolic PDEs -- Theory -- Invariant Manifolds for ODEs: The Convergence Theorem -- Averaging for Markov Chains: The Convergence Theorem -- Averaging for SDEs: The Convergence Theorem -- Homogenization for SDEs: The Convergence Theorem -- Homogenization for Elliptic PDEs: The Convergence Theorem -- Homogenization for Elliptic PDEs: The Convergence Theorem -- Averaging for Linear Transport and Parabolic PDEs: The Convergence Theorem
Dimensions
unknown
Edition
1st ed. 2008.
Extent
1 online resource (313 p.)
Form of item
online
Isbn
9780387738291
Media category
computer
Media type code
  • c
Other control number
10.1007/978-0-387-73829-1
Specific material designation
remote
System control number
  • (CKB)1000000000492068
  • (EBL)3062899
  • (SSID)ssj0000319094
  • (PQKBManifestationID)11265722
  • (PQKBTitleCode)TC0000319094
  • (PQKBWorkID)10336595
  • (PQKB)11665495
  • (DE-He213)978-0-387-73829-1
  • (MiAaPQ)EBC3062899
  • (EXLCZ)991000000000492068

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