Partial Differential Equations: Modeling, Analysis and Numerical Approximation by Herv Dret

Partial Differential Equations: Modeling, Analysis and Numerical Approximation by Herv Dret

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.

“This textbook covers a broad array of aspects of partial differential equations (PDEs), ranging from a study of their analytical properties to the approximate numerical simulations of their solutionsThe level of the book is mainly targeted towards Master’s students in applied mathematics or related fields of engineering. … The topics on modeling and approximating partial differential equations are well chosen and are presented in a logical and balanced order.” (Michael M. Tung, Mathematical Reviews, June, 2017)

“This work explores the field of partial differential equations in an advanced manner. … authors provide remarks that help clarify and expand on information that was proved. This is a useful feature for the student trying to make connections with the material. … the authors not only provide a brief summary of the material just covered, but also allude to how this material will be seen in the following chapters. Summing Up: Recommended. Upper-division undergraduates and above; researchers and faculty.” (S. L. Sullivan, Choice, Vol. 54 (9), May, 2017)

“This book presents both a theoretical and a numerical approach to partial differential equations. … The book appeals to graduate students as well as to researchers in any field of pure and applied mathematics who want to be introduced to numerical approximation method for PDEs through a rigorous approach.” (Marius Ghergu, zbMATH 1339.35005, 2016)

Hervé Le Dret is Professor of Mathematics at the Laboratoire Jacques-Louis Lions, Sorbonne Université, Paris, France. He recently completed two consecutive five-year terms as Dean of the Faculty of Mathematics and is now back to regular teaching and research duties. His research focuses on partial differential equations in mechanics, calculus of variations and numerical analysis.

SKU	Unavailable
ISBN 13	9783319270654
ISBN 10	3319270656
Title	Partial Differential Equations: Modeling, Analysis and Numerical Approximation
Author	Herv Dret
Series	International Series Of Numerical Mathematics
Condition	Unavailable
Binding Type	Hardback
Publisher	Birkhauser Verlag AG
Year published	2016-02-19
Number of pages	395
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.