@article{695928, author = {Mali, Olli, and Neittaanmäki, P. and Repin, Sergey I.,}, url = {http://library.usi.edu/record/695928}, title = {Accuracy verification methods theory and algorithms / [electronic resource] :}, abstract = {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. ? 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.}, doi = {https://doi.org/10.1007/978-94-007-7581-7}, recid = {695928}, pages = {1 online resource (xiii, 355 pages) :}, }