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Partial Differential Equations : Modeling, Analysis and Numerical Approximation

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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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Detail Information

Series Title

International Series of Numerical Mathematics

Call Number

515.35 DRE p

Publisher

Cham : ., 2016

Collation

XI, 395 halaman

Language

English

ISBN/ISSN

978-3-319-27067-8

Classification

515.35

Content Type

text

Media Type

computer

Carrier Type

online resource

Edition

-

Subject(s)

Differential equations

Specific Detail Info

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Statement of Responsibility

Hervé Le Dret, Brigitte Lucquin

Other Information

Cataloger

maya

Source

-

Validator

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