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02939nam a22004575i 4500 |
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978-3-319-27067-8 |
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DE-He213 |
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20160212152557.0 |
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160211s2016 gw | s |||| 0|eng d |
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|a 9783319270678
|9 978-3-319-27067-8
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|a 10.1007/978-3-319-27067-8
|2 doi
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|d GrThAP
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|a QA370-380
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|a PBKJ
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|a MAT007000
|2 bisacsh
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|a 515.353
|2 23
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|a Le Dret, Hervé.
|e author.
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|a Partial Differential Equations: Modeling, Analysis and Numerical Approximation
|h [electronic resource] /
|c by Hervé Le Dret, Brigitte Lucquin.
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|a 1st ed. 2016.
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|a Cham :
|b Springer International Publishing :
|b Imprint: Birkhäuser,
|c 2016.
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|a XI, 395 p. 140 illus., 21 illus. in color.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a text file
|b PDF
|2 rda
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|a International Series of Numerical Mathematics,
|x 0373-3149 ;
|v 168
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|a Foreword -- Mathematical modeling and PDEs -- The finite difference method for elliptic problems -- A review of analysis -- The variational formulation of elliptic PDEs.-Variational approximation methods for elliptic PDEs -- The finite element method in dimension two -- The heat equation -- The finite difference method for the heat equation -- The wave equation -- The finite volume method -- Index -- References.
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|a This book is devoted to the study of partial differential equation problems both from the theoretical and numerical points of view. After presenting modeling aspects, it develops the theoretical analysis of partial differential equation problems for the three main classes of partial differential equations: elliptic, parabolic and hyperbolic. Several numerical approximation methods adapted to each of these examples are analyzed: finite difference, finite element and finite volumes methods, and they are illustrated using numerical simulation results. Although parts of the book are accessible to Bachelor students in mathematics or engineering, it is primarily aimed at Masters students in applied mathematics or computational engineering. The emphasis is on mathematical detail and rigor for the analysis of both continuous and discrete problems. .
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650 |
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|a Mathematics.
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|a Partial differential equations.
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|a Mathematics.
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|a Partial Differential Equations.
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|a Lucquin, Brigitte.
|e author.
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|a SpringerLink (Online service)
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|t Springer eBooks
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|i Printed edition:
|z 9783319270654
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830 |
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|a International Series of Numerical Mathematics,
|x 0373-3149 ;
|v 168
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856 |
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|u http://dx.doi.org/10.1007/978-3-319-27067-8
|z Full Text via HEAL-Link
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|a ZDB-2-SMA
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|a Mathematics and Statistics (Springer-11649)
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