1951/01/01 by Simon P.A. Gill · 3 citations
Mathematics · Computer Science · #Numerical methods for differential equations #Numerical Methods and Algorithms #Modeling and Simulation Systems
paper · doi:10.1017/s0305004100026414
openalex publication_date 1951/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/02
Abstract It is advantageous in automatic computers to employ methods of integration which do not require preceding function values to be known. From a general theory given by Kutta, one such process is chosen giving fourth-order accuracy and requiring the minimum number of storage registers. It is developed into a form which gives the highest attainable accuracy and can be carried out by comparatively few instructions. The errors are studied and a simple example is given.