Mathematical Engineering

Mathematical and Numerical Methods for Partial Differential Equations

Applications for Engineering Sciences

Authors: Chaskalovic, Joël

  • 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
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Buy this book

eBook $59.99
price for USA (gross)
  • ISBN 978-3-319-03563-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $79.99
price for USA
  • ISBN 978-3-319-03562-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $79.99
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: October 6, 2016
  • ISBN 978-3-319-37556-4
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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

    Chaskalovic, Joël

    Pages 3-61

  • Finite-Element Method

    Chaskalovic, Joël

    Pages 63-109

  • Variational Formulations of Problems with Elliptical Boundary Conditions

    Chaskalovic, Joël

    Pages 113-159

  • Finite-Element Methods and Standard Differential Problems

    Chaskalovic, Joël

    Pages 161-211

  • Mechanics of Deformable Solids

    Chaskalovic, Joël

    Pages 213-250

Buy this book

eBook $59.99
price for USA (gross)
  • ISBN 978-3-319-03563-5
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $79.99
price for USA
  • ISBN 978-3-319-03562-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $79.99
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: October 6, 2016
  • ISBN 978-3-319-37556-4
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Mathematical and Numerical Methods for Partial Differential Equations
Book Subtitle
Applications for Engineering Sciences
Authors
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 and Tables
38 b/w illustrations
Topics