TY - GEN N2 - 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. DO - 10.1007/978-94-007-7581-7 DO - doi AB - 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. T1 - Accuracy verification methodstheory and algorithms / AU - Mali, Olli, AU - Neittaanmäki, P. AU - Repin, Sergey I., VL - volume 32 CN - SpringerLink CN - QA297 ID - 695928 KW - Numerical calculations KW - Mathematical models. SN - 9789400775817 SN - 9400775814 TI - Accuracy verification methodstheory and algorithms / LK - https://univsouthin.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-94-007-7581-7 UR - https://univsouthin.idm.oclc.org/login?url=http://dx.doi.org/10.1007/978-94-007-7581-7 ER -