Mathematical and Numerical Methods for Partial Differential Equations
Applications for Engineering Sciences
Authors: Chaskalovic, Joël
Free Preview- Self-learning and self-tutorial pedagogical book
- Provides students of engineering disciplines and mathematics the mathematical basis of systems of partial differential equations
- Uses a unique teaching method which explains the analysis using exercises and detailed solutions
- Enables active learning
Buy this book
- About this Textbook
-
This self-tutorial offers a concise yet thorough introduction into the mathematical analysis of approximation methods for partial differential equation. A particular emphasis is put on finite element methods. The unique approach first summarizes and outlines the finite-element mathematics in general and then in the second and major part, formulates problem examples that clearly demonstrate the techniques of functional analysis via numerous and diverse exercises. The solutions of the problems are given directly afterwards. Using this approach, the author motivates and encourages the reader to actively acquire the knowledge of finite- element methods instead of passively absorbing the material as in most standard textbooks. This English edition is based on the Finite Element Methods for Engineering Sciences by Joel Chaskalovic.
- About the authors
-
Joel Chaskalovic is a Professor of Applied Mathematics at the University Pierre and Marie Curie in Paris and has written books and published papers in highly ranked journals, including the French Sciences Academy Journal, Journal of Computational Physics, journals in medicine etc.
This reflects the wide spectrum of his research work, which focuses on non-linear mathematical modeling and data mining techniques applied to fluid and solid mechanics, numerical analysis, complexity and randomness, biology and medicine, marketing, media and communication. Professor Chaskalovic has held numerous lectures on all of these topics at conferences worldwide.
- Reviews
-
“This book is addressed and could be very useful to upper level undergraduate and beginning graduate students with a particular focus on degree courses in areas such as engineering, applied mathematics, and physics. The attention which is paid to the applications makes it valuable also for researchers and users of scientific computing. … This book certainly is a good addition to every engineering and computational mathematics library.” (Nicolae Tarfulea, Mathematical Reviews, April, 2015)
“The book can serve as a foundation for a three or four semester course for mechanics students or can be useful as support for all who are studying or teaching applications of mathematical and numerical methods for engineering sciences. It can be useful for all those who wish to see both the mathematical background of numerical algorithms on the one hand, and examples of its effective use in the solution of practical problems on the other hand.” (Iwan Gawriljuk, zbMATH, Vol. 1300, 2015)
- Table of contents (7 chapters)
-
-
Applications of Functional Analysis to Partial Differential Equations
Pages 3-61
-
Finite-Element Method
Pages 63-109
-
Variational Formulations of Problems with Elliptical Boundary Conditions
Pages 113-159
-
Finite-Element Methods and Standard Differential Problems
Pages 161-211
-
Mechanics of Deformable Solids
Pages 213-250
-
Table of contents (7 chapters)
- Download Preface 1 PDF (79.1 KB)
- Download Sample pages 2 PDF (577.6 KB)
- Download Table of contents PDF (191.5 KB)
Buy this book
Services for this Book
Recommended for you
Bibliographic Information
- Bibliographic Information
-
- Book Title
- Mathematical and Numerical Methods for Partial Differential Equations
- Book Subtitle
- Applications for Engineering Sciences
- Authors
-
- Joël Chaskalovic
- Series Title
- Mathematical Engineering
- Copyright
- 2014
- Publisher
- Springer International Publishing
- Copyright Holder
- Springer International Publishing Switzerland
- Distribution Rights
- Distribution rights for India: Researchco Book Centre, New Delhi, India
- eBook ISBN
- 978-3-319-03563-5
- DOI
- 10.1007/978-3-319-03563-5
- Hardcover ISBN
- 978-3-319-03562-8
- Softcover ISBN
- 978-3-319-37556-4
- Series ISSN
- 2192-4732
- Edition Number
- 1
- Number of Pages
- XIV, 358
- Number of Illustrations
- 38 b/w illustrations
- Topics
