An Introduction to the Finite Element Method for Differential Equations

<p><b>Master the finite element method with this masterful and practical volume</b> <p><i>An Introduction to the Finite Element Method (FEM) for Differential Equations</i> provides readers with a practical and approachable examination of the use of the finite element method in mathematics. Author Mohammad Asadzadeh covers basic FEM theory, both in one-dimensional and higher dimensional cases. <p>The book is filled with concrete strategies and useful methods to simplify its complex mathematical contents. Practically written and carefully detailed, <i>An Introduction to the Finite Element Method</i> covers topics including: <ul> <li>An introduction to basic ordinary and partial differential equations</li> <li>The concept of fundamental solutions using Green’s function approaches</li> <li>Polynomial approximations and interpolations, quadrature rules, and iterative numerical methods to solve linear systems of equations</li> <li>Higher-dimensional interpolation procedures</li> <li>Stability and convergence analysis of FEM for differential equations</li> </ul> <p>This book is ideal for upper-level undergraduate and graduate students in natural science and engineering. It belongs on the shelf of anyone seeking to improve their understanding of differential equations.