From Error Theory to Modern Computer Technologies
Ivan V. Sergienko, V. K. Zadiraka, Інна Віталіївна Швідченко · Mathematical and computer modelling Series Physical and mathematical sciences · 2019
The article summarizes the development of computational mathematics during 50 years’ period (1969–2019) in the field of accuracy and efficiency of computational algorithms.In particular, it is emphasized on the global error of the computational algorithm (с. a.), estimates of its quality, the formulation of computations optimization problems, computational algorithms that are optimal in accuracy and processing speed, reserves of calculations optimization, testing the quality of applied software, computer technologies solving the problems of applied and computational mathematics with the given values of quality characteristics in accuracy and processing speed.