Borrow it
 African Studies Library
 Alumni Medical Library
 Astronomy Library
 Fineman and Pappas Law Libraries
 Frederick S. Pardee Management Library
 Howard Gotlieb Archival Research Center
 Mugar Memorial Library
 Music Library
 Pikering Educational Resources Library
 School of Theology Library
 Science & Engineering Library
 Stone Science Library
The Resource Reduced Basis Methods for Partial Differential Equations : An Introduction, by Alfio Quarteroni, Andrea Manzoni, Federico Negri, (electronic resource)
Reduced Basis Methods for Partial Differential Equations : An Introduction, by Alfio Quarteroni, Andrea Manzoni, Federico Negri, (electronic resource)
Resource Information
The item Reduced Basis Methods for Partial Differential Equations : An Introduction, by Alfio Quarteroni, Andrea Manzoni, Federico Negri, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Reduced Basis Methods for Partial Differential Equations : An Introduction, by Alfio Quarteroni, Andrea Manzoni, Federico Negri, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 Summary
 This book provides a basic introduction to reduced basis (RB) methods for problems involving the repeated solution of partial differential equations (PDEs) arising from engineering and applied sciences, such as PDEs depending on several parameters and PDEconstrained optimization.Â The book presents a general mathematical formulation of RB methods, analyzes their fundamental theoretical properties, discusses the related algorithmic and implementation aspects, and highlights their builtin algebraic and geometric structures.Â More specifically, the authors discuss alternative strategies for constructing accurate RB spaces usingÂ greedy algorithms and proper orthogonal decompositionÂ techniques, investigate their approximation properties and analyze offlineonline decomposition strategies aimed at the reduction of computational complexity. Furthermore, they carry out both a priori and a posteriori error analysis.Â The whole mathematical presentation is made more stimulating by the use of representative examples of applicative interest in the context of both linear and nonlinear PDEs.Â Moreover, the inclusion of many pseudocodes allows the reader to easily implement the algorithms illustrated throughout the text. The book will be ideal for upper undergraduate students and, more generally, people interested in scientific computing
 Language
 eng
 Extent
 XI, 296 p.
 Contents

 1 Introduction
 2 Representative problems: analysis and (highfidelity) approximation
 3 Getting parameters into play
 4 RB method: basic principle, basic properties
 5 Construction of reduced basis spaces
 6 Algebraic and geometrical structure
 7 RB method in actions
 8 Extension to nonaffine problems
 9 Extension to nonlinear problems
 10 Reduction and control: a natural interplay
 11 Further extensions
 12 Appendix A Elements of functional analysis
 Isbn
 9783319154312
 Label
 Reduced Basis Methods for Partial Differential Equations : An Introduction
 Title
 Reduced Basis Methods for Partial Differential Equations
 Title remainder
 An Introduction
 Statement of responsibility
 by Alfio Quarteroni, Andrea Manzoni, Federico Negri
 Subject

 Mathematical Modeling and Industrial Mathematics
 Partial differential equations
 Partial differential equations
 Mathematical models
 Appl.Mathematics/Computational Methods of Engineering
 Fluid mechanics
 Engineering mathematics
 Mathematical models
 Electronic resources
 Engineering mathematics
 Mathematics
 Fluid mechanics
 Engineering Fluid Dynamics
 Mathematics
 Partial Differential Equations
 Partial Differential Equations
 Applied mathematics
 Applied mathematics
 Language
 eng
 Summary
 This book provides a basic introduction to reduced basis (RB) methods for problems involving the repeated solution of partial differential equations (PDEs) arising from engineering and applied sciences, such as PDEs depending on several parameters and PDEconstrained optimization.Â The book presents a general mathematical formulation of RB methods, analyzes their fundamental theoretical properties, discusses the related algorithmic and implementation aspects, and highlights their builtin algebraic and geometric structures.Â More specifically, the authors discuss alternative strategies for constructing accurate RB spaces usingÂ greedy algorithms and proper orthogonal decompositionÂ techniques, investigate their approximation properties and analyze offlineonline decomposition strategies aimed at the reduction of computational complexity. Furthermore, they carry out both a priori and a posteriori error analysis.Â The whole mathematical presentation is made more stimulating by the use of representative examples of applicative interest in the context of both linear and nonlinear PDEs.Â Moreover, the inclusion of many pseudocodes allows the reader to easily implement the algorithms illustrated throughout the text. The book will be ideal for upper undergraduate students and, more generally, people interested in scientific computing
 http://library.link/vocab/creatorName
 Quarteroni, Alfio
 Image bit depth
 0
 LC call number
 QA370380
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName

 Manzoni, Andrea.
 Negri, Federico.
 SpringerLink
 Series statement
 UNITEXT,
 Series volume
 92
 http://library.link/vocab/subjectName

 Mathematics
 Partial differential equations
 Mathematical models
 Applied mathematics
 Engineering mathematics
 Fluid mechanics
 Mathematics
 Partial Differential Equations
 Mathematical Modeling and Industrial Mathematics
 Appl.Mathematics/Computational Methods of Engineering
 Engineering Fluid Dynamics
 Label
 Reduced Basis Methods for Partial Differential Equations : An Introduction, by Alfio Quarteroni, Andrea Manzoni, Federico Negri, (electronic resource)
 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
 1 Introduction  2 Representative problems: analysis and (highfidelity) approximation  3 Getting parameters into play  4 RB method: basic principle, basic properties  5 Construction of reduced basis spaces  6 Algebraic and geometrical structure  7 RB method in actions  8 Extension to nonaffine problems  9 Extension to nonlinear problems  10 Reduction and control: a natural interplay  11 Further extensions  12 Appendix A Elements of functional analysis
 Dimensions
 unknown
 Extent
 XI, 296 p.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319154312
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783319154312
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319154312
 Label
 Reduced Basis Methods for Partial Differential Equations : An Introduction, by Alfio Quarteroni, Andrea Manzoni, Federico Negri, (electronic resource)
 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
 1 Introduction  2 Representative problems: analysis and (highfidelity) approximation  3 Getting parameters into play  4 RB method: basic principle, basic properties  5 Construction of reduced basis spaces  6 Algebraic and geometrical structure  7 RB method in actions  8 Extension to nonaffine problems  9 Extension to nonlinear problems  10 Reduction and control: a natural interplay  11 Further extensions  12 Appendix A Elements of functional analysis
 Dimensions
 unknown
 Extent
 XI, 296 p.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319154312
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783319154312
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319154312
Subject
 Appl.Mathematics/Computational Methods of Engineering
 Applied mathematics
 Applied mathematics
 Electronic resources
 Engineering Fluid Dynamics
 Engineering mathematics
 Engineering mathematics
 Fluid mechanics
 Fluid mechanics
 Mathematical Modeling and Industrial Mathematics
 Mathematical models
 Mathematical models
 Mathematics
 Mathematics
 Partial Differential Equations
 Partial Differential Equations
 Partial differential equations
 Partial differential equations
Member of
Library Locations

African Studies LibraryBorrow it771 Commonwealth Avenue, 6th Floor, Boston, MA, 02215, US42.350723 71.108227


Astronomy LibraryBorrow it725 Commonwealth Avenue, 6th Floor, Boston, MA, 02445, US42.350259 71.105717

Fineman and Pappas Law LibrariesBorrow it765 Commonwealth Avenue, Boston, MA, 02215, US42.350979 71.107023

Frederick S. Pardee Management LibraryBorrow it595 Commonwealth Avenue, Boston, MA, 02215, US42.349626 71.099547

Howard Gotlieb Archival Research CenterBorrow it771 Commonwealth Avenue, 5th Floor, Boston, MA, 02215, US42.350723 71.108227


Music LibraryBorrow it771 Commonwealth Avenue, 2nd Floor, Boston, MA, 02215, US42.350723 71.108227

Pikering Educational Resources LibraryBorrow it2 Silber Way, Boston, MA, 02215, US42.349804 71.101425

School of Theology LibraryBorrow it745 Commonwealth Avenue, 2nd Floor, Boston, MA, 02215, US42.350494 71.107235

Science & Engineering LibraryBorrow it38 Cummington Mall, Boston, MA, 02215, US42.348472 71.102257

Embed (Experimental)
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bu.edu/portal/ReducedBasisMethodsforPartialDifferential/AP09A6pNN_Y/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/portal/ReducedBasisMethodsforPartialDifferential/AP09A6pNN_Y/">Reduced Basis Methods for Partial Differential Equations : An Introduction, by Alfio Quarteroni, Andrea Manzoni, Federico Negri, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.bu.edu/">Boston University Libraries</a></span></span></span></span></div>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data  Experimental
Data Citation of the Item Reduced Basis Methods for Partial Differential Equations : An Introduction, by Alfio Quarteroni, Andrea Manzoni, Federico Negri, (electronic resource)
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bu.edu/portal/ReducedBasisMethodsforPartialDifferential/AP09A6pNN_Y/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/portal/ReducedBasisMethodsforPartialDifferential/AP09A6pNN_Y/">Reduced Basis Methods for Partial Differential Equations : An Introduction, by Alfio Quarteroni, Andrea Manzoni, Federico Negri, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.bu.edu/">Boston University Libraries</a></span></span></span></span></div>