The importance of accuracy verification methods was understood at
the very beginning of the development of numerical analysis. Recent
decades have seen a rapid growth of results related to adaptive
numerical methods and a posteriori estimates. However, in this
important area there often exists a noticeable gap between
mathematicians creating the theory and researchers developing
applied algorithms that could be used in engineering and scientific
computations for guaranteed and efficient error control. Â
The goals of the book are to (1) give a transparent explanation of
the underlying mathematical theory in a style accessible not only
to advanced numerical analysts but also to engineers and students;
(2) present detailed step-by-step algorithms that follow from a
theory; (3) discuss their advantages and drawbacks, areas of
applicability, give recommendations and examples.
General
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