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Partial Differential Equations: Modeling, Analysis and Numerical Approximation (International Series of Numerical Mathematics, 168) - Softcover
Synopsis
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.
"synopsis" may belong to another edition of this title.
From the Back Cover
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.
"About this title" may belong to another edition of this title.
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Partial Differential Equations: Modeling, Analysis and Numerical Approximation (International Series of Numerical Mathematics)
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Partial Differential Equations: Modeling, Analysis and Numerical Approximation (International Series of Numerical Mathematics)
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Springer (India) Private Limited, 2018
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ISBN 13: 9783319800660
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Partial Differential Equations: Modeling, Analysis and Numerical Approximation (International Series of Numerical Mathematics)
Published by
Springer (India) Private Limited, 2018
ISBN 10: 3319800663
ISBN 13: 9783319800660
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