A First Course in the Numerical Analysis of Differential Equations - Arieh (University of Cambridge) Iserles - Bog

This extensively updated second edition includes new chapters on emerging subject areas: geometric numerical integration, spectral methods and conjugate gradients. Other topics covered include multistep and Runge-Kutta methods, finite difference and finite elements techniques for the Poisson equation, and a variety of algorithms to solve large, sparse algebraic systems.