60th Anniversary of the Seminal Paper on Interval Analysis and Computations by T. Sunaga
Roumen Anguelov, Svetoslav Marinov Markov · Biomath Communications · 2019
Sunaga considered all computational procedures, which had beenВ traditionally defined on real numbers, as being too ideal andВ proposed to replace them by the procedures on real intervals inВ order to make everything "more realistic". Sunaga studied manyВ different kinds of numerical procedures including the Taylor-seriesВ interval solution of the initial-value problem of ordinaryВ differential equations.The purpose of the present note is to mark the 60-th anniversary of the publication of the seminal work by the Japan mathematician Teruo Sunaga. The paper summarizes the results of his Master Thesis. Sunaga's work sets the foundation of the contemporary interval analysis and reliable computing. This is an interdisciplinary field, combining abstract mathematical theories and practical applications related to computer science, numerical analysis and mathematical modeling in the natural, engineering and social-economic sciences.