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.

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 Includes supplementary material: sn.pub/extras

Autorentext

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.

Inhalt
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.