Introduction to the Finite Element Method for Differential Equations

An Introduction to the Finite Element Method (FEM) for Differential Equations is a comprehensive and practical guide to using the FEM in mathematics, covering basic theory, fundamental solutions, polynomial approximations, and iterative numerical methods. Ideal for upper-level undergraduate and graduate students in natural science and engineering, it provides concrete strategies and useful methods to simplify complex mathematical contents.

\n Format: Hardback
\n Length: 352 pages
\n Publication date: 26 October 2020
\n Publisher: John Wiley and Sons Ltd
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Master the finite element method with this comprehensive and hands-on volume, An Introduction to the Finite Element Method (FEM) for Differential Equations. Authored by Mohammad Asadzadeh, this book offers a practical and accessible exploration of the application of the finite element method in mathematics. Delving into both one-dimensional and higher-dimensional scenarios, it provides readers with a solid foundation in fundamental FEM theory.

Packed with concrete strategies and practical techniques, this book simplifies its intricate mathematical concepts. Written in a clear and concise manner, An Introduction to the Finite Element Method covers a wide range of topics, including:

An introduction to basic ordinary and partial differential equations
The concept of fundamental solutions using Green's function approaches
Polynomial approximations and interpolations, quadrature rules, and iterative numerical methods to solve linear systems of equations
Higher-dimensional interpolation procedures
Stability and convergence analysis of FEM for differential equations

This book is a valuable resource for upper-level undergraduate and graduate students in natural science and engineering. It serves as a must-have on the shelves of anyone seeking to enhance their understanding of differential equations.

\n Weight: 668g\n
Dimension: 161 x 235 x 21 (mm)\n
ISBN-13: 9781119671640\n \n