Partial differential equations fall into several areas of mathematics: many of the greatest advances in modern science have been based on discovering the underlying PDE for the process in question. In this book, the emphasis is on the practical solution of problems rather than the theoretical background. An introductory chapter recaps the mathematical preliminaries required and exercises with solutions are provided. With its companion volume, Analytic Methods for Partial Differential Equations, it provides a complete introduction to the subject.