How do we estimate and control the accuracy of computed solutions? The first volume begins by developing the basic issues at an elementary level in the context of a set of model problems in ordinary ...

In many branches of physics, mathematics, and engineering, solving a problem means a set of ordinary or partial differential equations. Nearly all methods of constructing closed form solutions rely on ...

Illustrated with many practical examples, this text provides complete, clear, and detailed explanations of the principal numerical analysis methods and well known functions used in science and ...