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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

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
Creator
Contributor
Subject
Genre
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 trade-off 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 time-dependent problems, including linear hyperbolic systems and Navier-Stokes equations. Two appendices discuss some practical implementation issues and three-dimensional applications. Each section contains a brief introduction to the subject to make this book self contained
Member of
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
Instantiates
Publication
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
  • Navier-Stokes equations for incompressible fluids
  • Part I.
  • Basic Material
  • Some fundamental tools
  • Fundamentals of finite elements and finite differences
  • Part II.
  • Stationary Problems
  • Galerkin-finite element method for elliptic problems
  • Advection-diffusion-reaction (ADR) problems
Control code
786034295
Dimensions
unknown
Extent
1 online resource (x, 434 pages).
File format
unknown
Form of item
online
Isbn
9788847024113
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-88-470-2412-0
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
Publication
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
  • Navier-Stokes equations for incompressible fluids
  • Part I.
  • Basic Material
  • Some fundamental tools
  • Fundamentals of finite elements and finite differences
  • Part II.
  • Stationary Problems
  • Galerkin-finite element method for elliptic problems
  • Advection-diffusion-reaction (ADR) problems
Control code
786034295
Dimensions
unknown
Extent
1 online resource (x, 434 pages).
File format
unknown
Form of item
online
Isbn
9788847024113
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-88-470-2412-0
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)786034295

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