Knabner P., Angerman L. Numerical Methods for Elliptic and Parabolic Partial Differential Equations

Springer, 2003. - 415 pages.This text provides an application oriented introduction to the numerical methods for partial differential equations. It covers finite difference, finite element and finite volume methods, interweaving theory and applications throughout. Extensive exercises are provided throughout the text. Graduate students in mathematics, engineering and physics will find this book useful.