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The Resource Numerical Models for Differential Problems, by Alfio Quarteroni, (electronic resource)
Numerical Models for Differential Problems, by Alfio Quarteroni, (electronic resource)
Resource Information
The item Numerical Models for Differential Problems, by Alfio Quarteroni, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Numerical Models for Differential Problems, by Alfio Quarteroni, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 In this text, we introduce the basic concepts for the numerical modelling of partial differential equations. We consider the classical elliptic, parabolic and hyperbolic linear equations, but also the diffusion, transport, and NavierStokes equations, as well as equations representing conservation laws, saddlepoint problems and optimal control problems. Furthermore, we provide numerous physical examples which underline such equations. We then analyze numerical solution methods based on finite elements, finite differences, finite volumes, spectral methods and domain decomposition methods, and reduced basis methods. In particular, we discuss the algorithmic and computer implementation aspects and provide a number of easytouse programs. The text does not require any previous advanced mathematical knowledge of partial differential equations: the absolutely essential concepts are reported in a preliminary chapter. It is therefore suitable for students of bachelor and master courses in scientific disciplines, and recommendable to those researchers in the academic and extraacademic domain who want to approach this interesting branch of applied mathematics
 Language

 eng
 eng
 Edition
 1st ed. 2009.
 Extent
 1 online resource (610 p.)
 Note
 Translated from the Italian
 Contents

 A brief survey on partial differential equations
 Elements of functional analysis
 Elliptic equations
 The Galerkin finite element method for elliptic problems
 Parabolic equations
 Generation of 1D and 2D grids
 Algorithms for the solution of linear systems
 Elements of finite element programming
 The finite volume method
 Spectral methods
 Diffusiontransportreaction equations
 Finite differences for hyperbolic equations
 Finite elements and spectral methods for hyperbolic equations
 Nonlinear hyperbolic problems
 NavierStokes equations
 Optimal control of partial differential equations
 Domain decomposition methods
 Reduced basis approximation for parametrized partial differential equations
 Isbn
 9781280384431
 Label
 Numerical Models for Differential Problems
 Title
 Numerical Models for Differential Problems
 Statement of responsibility
 by Alfio Quarteroni
 Language

 eng
 eng
 Summary
 In this text, we introduce the basic concepts for the numerical modelling of partial differential equations. We consider the classical elliptic, parabolic and hyperbolic linear equations, but also the diffusion, transport, and NavierStokes equations, as well as equations representing conservation laws, saddlepoint problems and optimal control problems. Furthermore, we provide numerous physical examples which underline such equations. We then analyze numerical solution methods based on finite elements, finite differences, finite volumes, spectral methods and domain decomposition methods, and reduced basis methods. In particular, we discuss the algorithmic and computer implementation aspects and provide a number of easytouse programs. The text does not require any previous advanced mathematical knowledge of partial differential equations: the absolutely essential concepts are reported in a preliminary chapter. It is therefore suitable for students of bachelor and master courses in scientific disciplines, and recommendable to those researchers in the academic and extraacademic domain who want to approach this interesting branch of applied mathematics
 http://library.link/vocab/creatorName
 Quarteroni, Alfio
 Dewey number
 518.64
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 2hlBcvwI8t0
 Language note
 English
 LC call number
 QA299.6433
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 MS&A, Modeling, Simulation and Applications,
 Series volume
 2
 http://library.link/vocab/subjectName

 Global analysis (Mathematics)
 Mathematics
 Numerical analysis
 Computer science
 Analysis
 Mathematics, general
 Numerical Analysis
 Mathematical Modeling and Industrial Mathematics
 Applications of Mathematics
 Computational Mathematics and Numerical Analysis
 Label
 Numerical Models for Differential Problems, by Alfio Quarteroni, (electronic resource)
 Note
 Translated from the Italian
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code
 cr
 Content category
 text
 Content type code
 txt
 Contents
 A brief survey on partial differential equations  Elements of functional analysis  Elliptic equations  The Galerkin finite element method for elliptic problems  Parabolic equations  Generation of 1D and 2D grids  Algorithms for the solution of linear systems  Elements of finite element programming  The finite volume method  Spectral methods  Diffusiontransportreaction equations  Finite differences for hyperbolic equations  Finite elements and spectral methods for hyperbolic equations  Nonlinear hyperbolic problems  NavierStokes equations  Optimal control of partial differential equations  Domain decomposition methods  Reduced basis approximation for parametrized partial differential equations
 Dimensions
 unknown
 Edition
 1st ed. 2009.
 Extent
 1 online resource (610 p.)
 Form of item
 online
 Isbn
 9781280384431
 Media category
 computer
 Media type code
 c
 Other control number
 10.1007/9788847010710
 Specific material designation
 remote
 System control number

 (CKB)2670000000007067
 (EBL)3064977
 (SSID)ssj0000372675
 (PQKBManifestationID)11275432
 (PQKBTitleCode)TC0000372675
 (PQKBWorkID)10422916
 (PQKB)11127429
 (DEHe213)9788847010710
 (MiAaPQ)EBC3064977
 (EXLCZ)992670000000007067
 Label
 Numerical Models for Differential Problems, by Alfio Quarteroni, (electronic resource)
 Note
 Translated from the Italian
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code
 cr
 Content category
 text
 Content type code
 txt
 Contents
 A brief survey on partial differential equations  Elements of functional analysis  Elliptic equations  The Galerkin finite element method for elliptic problems  Parabolic equations  Generation of 1D and 2D grids  Algorithms for the solution of linear systems  Elements of finite element programming  The finite volume method  Spectral methods  Diffusiontransportreaction equations  Finite differences for hyperbolic equations  Finite elements and spectral methods for hyperbolic equations  Nonlinear hyperbolic problems  NavierStokes equations  Optimal control of partial differential equations  Domain decomposition methods  Reduced basis approximation for parametrized partial differential equations
 Dimensions
 unknown
 Edition
 1st ed. 2009.
 Extent
 1 online resource (610 p.)
 Form of item
 online
 Isbn
 9781280384431
 Media category
 computer
 Media type code
 c
 Other control number
 10.1007/9788847010710
 Specific material designation
 remote
 System control number

 (CKB)2670000000007067
 (EBL)3064977
 (SSID)ssj0000372675
 (PQKBManifestationID)11275432
 (PQKBTitleCode)TC0000372675
 (PQKBWorkID)10422916
 (PQKB)11127429
 (DEHe213)9788847010710
 (MiAaPQ)EBC3064977
 (EXLCZ)992670000000007067
Library Locations

Architecture LibraryBorrow itGould Hall 830 Van Vleet Oval Rm. 105, Norman, OK, 73019, US35.205706 97.445050



Chinese Literature Translation ArchiveBorrow it401 W. Brooks St., RM 414, Norman, OK, 73019, US35.207487 97.447906

Engineering LibraryBorrow itFelgar Hall 865 Asp Avenue, Rm. 222, Norman, OK, 73019, US35.205706 97.445050

Fine Arts LibraryBorrow itCatlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US35.210371 97.448244

Harry W. Bass Business History CollectionBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

History of Science CollectionsBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

John and Mary Nichols Rare Books and Special CollectionsBorrow it401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US35.207487 97.447906


Price College Digital LibraryBorrow itAdams Hall 102 307 West Brooks St., Norman, OK, 73019, US35.210371 97.448244

Western History CollectionsBorrow itMonnet Hall 630 Parrington Oval, Rm. 300, Norman, OK, 73019, US35.209584 97.445414
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.libraries.ou.edu/portal/NumericalModelsforDifferentialProblemsby/paOSrCPamWo/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.libraries.ou.edu/portal/NumericalModelsforDifferentialProblemsby/paOSrCPamWo/">Numerical Models for Differential Problems, by Alfio Quarteroni, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.libraries.ou.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.libraries.ou.edu/">University of Oklahoma Libraries</a></span></span></span></span></div>