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Catalogue Information
Field name	Details
Dewey Class	515.353
Title	Partial Differential Equations: Modeling, Analysis and Numerical Approximation ([EBook]) / by Hervé Le Dret, Brigitte Lucquin.
Author	Le Dret, Herve
Added Personal Name	Lucquin, Brigitte author.
Other name(s)	SpringerLink (Online service)
Edition statement	1st ed. 2016.
Publication	Cham : : Springer International Publishing : : Imprint: Birkhäuser, , 2016.
Physical Details	XI, 395 p. 140 illus., 21 illus. in color. : online resource.
Series	International series of numerical mathematics 0373-3149 ; ; 168
ISBN	9783319270678
Summary Note	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. .:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-319-27067-8
Links to Related Works	Subject References: Mathematics . Partial differential equations . Authors: Le Dret, Herve . Lucquin, Brigitte . Corporate Authors: SpringerLink (Online service) . Series: International series of numerical mathematics . Classification: 515.353 .

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Partial Differential Equations: Modeling, Analysis and Numerical Approximation

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