Joël Chaskalovic

Mathematical and Numerical Methods for Partial Differential Equations

Applications for Engineering Sciences

• Gebundenes Buch

Produktbeschreibung

This self-tutorial offers a concise yet thorough introduction into the mathematical analysis of approximation methods for partial differential equations. It uses a unique teaching method which explains the analysis using exercises and detailed solutions.

Produktdetails

• Mathematical Engineering
• Verlag: Springer / Springer International Publishing / Springer, Berlin
• Artikelnr. des Verlages: 978-3-319-03562-8
• 2014
• Seitenzahl: 372
• Erscheinungstermin: 30. Mai 2014
• Englisch
• Abmessung: 241mm x 160mm x 26mm
• Gewicht: 692g
• ISBN-13: 9783319035628
• ISBN-10: 3319035622
• Artikelnr.: 39757572

Autorenporträt

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.

Inhaltsangabe

From the Contents: Introduction to functional analytical methods of partial differential equations.- The finite element method.- Variational Formulations of elliptic boundary problems.- Finite Elements and differential Introduction to functional analytical methods of partial differential equations.- The finite element method.- Variational Formulations of elliptic boundary problems.

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Introduction to functional analytical methods of partial differential equations.- The finite element method.- Variational Formulations of elliptic boundary problems.- Finite Elements and differential Introduction to functional analytical methods of partial differential equations.- The finite element method.- Variational Formulations of elliptic boundary problems.- Finite Elements and differential boundary conditions.- Finite Elements in Deformable Solid Body Mechanics.- Finite Elements Applied to Strength of Materials.- Finite Elements Applied to Non Linear Problems.- Finite Elements in Deformable Solid Body Mechanics.- Finite Elements Applied to Strength of Materials.- Finite Elements Applied to Non Linear Problems.

Rezensionen

"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)