Scientists and engineers are mainly using Richardson extrapolation as a computational tool for
increasing the accuracy of various numerical algorithms for the treatment of systems of
ordinary and partial differential equations and for improving the computational efficiency of
the solution process by the automatic variation of the time-stepsizes. A third issue the
stability of the computations is very often the most important one and therefore it is the
major topic studied in all chapters of this book.Clear explanations and many examples make this
text an easy-to-follow handbook for applied mathematicians physicists and engineers working
with scientific models based on differential equations. ContentsThe basic properties of
Richardson extrapolationRichardson extrapolation for explicit Runge-Kutta methodsLinear
multistep and predictor-corrector methodsRichardson extrapolation for some implicit
methodsRichardson extrapolation for splitting techniquesRichardson extrapolation for advection
problemsRichardson extrapolation for some other problemsGeneral conclusions
