The Resource Solving numerical PDEs : problems, applications, exercises, Luca Formaggia, Fausto Saleri, Alessandro Veneziani
Solving numerical PDEs : problems, applications, exercises, Luca Formaggia, Fausto Saleri, Alessandro Veneziani
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The item Solving numerical PDEs : problems, applications, exercises, Luca Formaggia, Fausto Saleri, Alessandro Veneziani represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Solving numerical PDEs : problems, applications, exercises, Luca Formaggia, Fausto Saleri, Alessandro Veneziani represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary
 This book aims at introducing students to the numerical approximation of Partial Differential Equations (PDEs). One of the difficulties of this subject is to identify the right tradeoff between theoretical concepts and their use in practice. With that collection of examples and exercises we try to address this issue by illustrating "standard" examples which focus on basic concepts of Numerical Analysis, as well as problems derived from practical applications which the student is encouraged to formalize in terms of PDEs, analyze and solve. The latter examples are derived from the experience of the authors in research project developed in collaboration with scientists of different fields (biology, medicine, etc.) and industry. We wanted this book to be useful both to readers more interested in the theoretical aspects, and also to those more concerned with the numerical implementation. To this aim, solutions to the exercises have been subdivided in three parts. The first concerns the mathematical analysis of the problem, the second its numerical approximation and the third part is devoted to implementation aspects and the analysis of the results. The book consists of three parts. The first deals with basic material and results provided as useful reference for the other sections. In particular, we recall the basics of functional analysis and the finite element method. The second part deals with steady elliptic problems, solved with finite elements or finite differences, while in the third part we address timedependent problems, including linear hyperbolic systems and NavierStokes equations. Two appendices discuss some practical implementation issues and threedimensional applications. Each section contains a brief introduction to the subject to make this book self contained
 Language

 eng
 ita
 eng
 Extent
 1 online resource (x, 434 pages).
 Contents

 Part III.
 Time Dependent Problems
 Equations of parabolic type
 Equations of hyperbolic type
 NavierStokes equations for incompressible fluids
 Part I.
 Basic Material
 Some fundamental tools
 Fundamentals of finite elements and finite differences
 Part II.
 Stationary Problems
 Galerkinfinite element method for elliptic problems
 Advectiondiffusionreaction (ADR) problems
 Isbn
 9788847024120
 Label
 Solving numerical PDEs : problems, applications, exercises
 Title
 Solving numerical PDEs
 Title remainder
 problems, applications, exercises
 Statement of responsibility
 Luca Formaggia, Fausto Saleri, Alessandro Veneziani
 Subject

 Differential equations, Partial  Numerical solutions
 Differential equations, Partial  Numerical solutions
 Differential equations, Partial  Numerical solutions  Problems, exercises, etc
 Differential equations, partial.
 Mathematical Concepts
 Mathematics
 Mathematics, general.
 Mathematics.
 Numerical analysis.
 Partial Differential Equations.
 Problems and exercises
 Problems and exercises
 Language

 eng
 ita
 eng
 Summary
 This book aims at introducing students to the numerical approximation of Partial Differential Equations (PDEs). One of the difficulties of this subject is to identify the right tradeoff between theoretical concepts and their use in practice. With that collection of examples and exercises we try to address this issue by illustrating "standard" examples which focus on basic concepts of Numerical Analysis, as well as problems derived from practical applications which the student is encouraged to formalize in terms of PDEs, analyze and solve. The latter examples are derived from the experience of the authors in research project developed in collaboration with scientists of different fields (biology, medicine, etc.) and industry. We wanted this book to be useful both to readers more interested in the theoretical aspects, and also to those more concerned with the numerical implementation. To this aim, solutions to the exercises have been subdivided in three parts. The first concerns the mathematical analysis of the problem, the second its numerical approximation and the third part is devoted to implementation aspects and the analysis of the results. The book consists of three parts. The first deals with basic material and results provided as useful reference for the other sections. In particular, we recall the basics of functional analysis and the finite element method. The second part deals with steady elliptic problems, solved with finite elements or finite differences, while in the third part we address timedependent problems, including linear hyperbolic systems and NavierStokes equations. Two appendices discuss some practical implementation issues and threedimensional applications. Each section contains a brief introduction to the subject to make this book self contained
 Cataloging source
 GW5XE
 http://library.link/vocab/creatorName
 Formaggia, L.
 Dewey number
 518/.64
 Index
 index present
 LC call number
 QA377
 LC item number
 .F67 2012
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/relatedWorkOrContributorName

 Saleri, Fausto
 Veneziani, A.
 Series statement
 UNITEXT,
 http://library.link/vocab/subjectName

 Differential equations, Partial
 Mathematical Concepts
 Mathematics
 Differential equations, Partial
 Label
 Solving numerical PDEs : problems, applications, exercises, Luca Formaggia, Fausto Saleri, Alessandro Veneziani
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references and index
 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

 Part III.
 Time Dependent Problems
 Equations of parabolic type
 Equations of hyperbolic type
 NavierStokes equations for incompressible fluids
 Part I.
 Basic Material
 Some fundamental tools
 Fundamentals of finite elements and finite differences
 Part II.
 Stationary Problems
 Galerkinfinite element method for elliptic problems
 Advectiondiffusionreaction (ADR) problems
 Control code
 786034295
 Dimensions
 unknown
 Extent
 1 online resource (x, 434 pages).
 File format
 unknown
 Form of item
 online
 Isbn
 9788847024120
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9788847024120
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)786034295
 Label
 Solving numerical PDEs : problems, applications, exercises, Luca Formaggia, Fausto Saleri, Alessandro Veneziani
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references and index
 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

 Part III.
 Time Dependent Problems
 Equations of parabolic type
 Equations of hyperbolic type
 NavierStokes equations for incompressible fluids
 Part I.
 Basic Material
 Some fundamental tools
 Fundamentals of finite elements and finite differences
 Part II.
 Stationary Problems
 Galerkinfinite element method for elliptic problems
 Advectiondiffusionreaction (ADR) problems
 Control code
 786034295
 Dimensions
 unknown
 Extent
 1 online resource (x, 434 pages).
 File format
 unknown
 Form of item
 online
 Isbn
 9788847024120
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9788847024120
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)786034295
Subject
 Differential equations, Partial  Numerical solutions
 Differential equations, Partial  Numerical solutions
 Differential equations, Partial  Numerical solutions  Problems, exercises, etc
 Differential equations, partial.
 Mathematical Concepts
 Mathematics
 Mathematics, general.
 Mathematics.
 Numerical analysis.
 Partial Differential Equations.
 Problems and exercises
 Problems and exercises
Genre
Member of
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