Partial differential equations : modeling, analysis and numerical approximation
- Hervé Le Dret, Brigitte Lucquin.
- Cham : Springer, 
- Copyright notice
- Physical description
- xi, 395 pages : illustrations (some color) ; 24 cm.
- International series of numerical mathematics ; v. 168.
At the library
Science Library (Li and Ma)
|QA297 .I5 V.168||Unknown|
- Includes bibliographical references (pages 383-386) and index.
- 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.
- (source: Nielsen Book Data)
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.
(source: Nielsen Book Data)
- Publication date
- Copyright date
- International series of numerical mathematics, 0373-3149 ; volume 168
- 9783319270654 (hbk.)
- 3319270656 (hbk.)
- 9783319270678 (ebk.)
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