The Resource Numerical Models for Differential Problems, by Alfio Quarteroni, (electronic resource)

Numerical Models for Differential Problems, by Alfio Quarteroni, (electronic resource)

Label
Numerical Models for Differential Problems
Title
Numerical Models for Differential Problems
Statement of responsibility
by Alfio Quarteroni
Creator
Author
Author
Subject
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 Navier-Stokes equations, as well as equations representing conservation laws, saddle-point 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 easy-to-use 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 extra-academic domain who want to approach this interesting branch of applied mathematics
Member of
Is Subseries of
http://library.link/vocab/creatorName
Quarteroni, Alfio
Dewey number
518.64
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
2hlBcvwI8t0
Language note
English
LC call number
QA299.6-433
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)
Instantiates
Publication
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 -- Diffusion-transport-reaction equations -- Finite differences for hyperbolic equations -- Finite elements and spectral methods for hyperbolic equations -- Nonlinear hyperbolic problems -- Navier-Stokes 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
10.1007/978-88-470-1071-0
Specific material designation
remote
System control number
  • (CKB)2670000000007067
  • (EBL)3064977
  • (SSID)ssj0000372675
  • (PQKBManifestationID)11275432
  • (PQKBTitleCode)TC0000372675
  • (PQKBWorkID)10422916
  • (PQKB)11127429
  • (DE-He213)978-88-470-1071-0
  • (MiAaPQ)EBC3064977
  • (EXLCZ)992670000000007067
Label
Numerical Models for Differential Problems, by Alfio Quarteroni, (electronic resource)
Publication
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 -- Diffusion-transport-reaction equations -- Finite differences for hyperbolic equations -- Finite elements and spectral methods for hyperbolic equations -- Nonlinear hyperbolic problems -- Navier-Stokes 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
10.1007/978-88-470-1071-0
Specific material designation
remote
System control number
  • (CKB)2670000000007067
  • (EBL)3064977
  • (SSID)ssj0000372675
  • (PQKBManifestationID)11275432
  • (PQKBTitleCode)TC0000372675
  • (PQKBWorkID)10422916
  • (PQKB)11127429
  • (DE-He213)978-88-470-1071-0
  • (MiAaPQ)EBC3064977
  • (EXLCZ)992670000000007067

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