Since the first edition of this book, the literature on fitted mesh methods for singularly perturbed problems has expanded significantly. Over the intervening years, fitted meshes have been shown to be effective for an extensive set of singularly perturbed partial differential equations. In the revised version of this book, the reader will find an introduction to the basic theory associated with fitted numerical methods for singularly perturbed differential equations. Fitted mesh methods focus on the appropriate distribution of the mesh points for singularly perturbed problems. The global...

This work introduces the reader to fitted numerical methods for solving singularly perturbed differential equations. The performance of fitted methods is not adversely affected by the value of the perturbation parameter. The book concentrates on fitted mesh methods. These methods focus on the appropriate distribution of the mesh points for singularly perturbed problems. The fitted mesh algorithm is particularly simple to implement in practice, but the theory of why these methods work is far from simple. The book introduces the reader to the theory behind these novel numerical methods.