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 errors in the numerical
approximations are measured in the pointwise maximum norm. The
fitted mesh algorithm is particularly simple to implement in
practice, but the theory of why these numerical methods work is far
from simple. This book can be used as an introductory text to the
theory underpinning fitted mesh methods.
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