No abstract

No abstract

1. Gill [1] and Blum [2] have produced special versions of the Runge-Kutta fourth order method for the solution of N simultaneous first order differential equations which require 3A 4-P storage locations against the normal 4JV -f P, where P is the storage required by the program. It is shown below that it is possible to arrange all such methods in a form which requires SN -\-P storage locations. Gill's method for reducing round off error is also extended. a4-&4-c4-d= 1, 6m 4-en 4-dp = |, bm 4-en 4-dp" = \, cmr 4-dnt -\-dms = -g-, The computation with the formulae arranged in this form requires 4A 4-P storage

No abstract

1. Gill [1] and Blum [2] have produced special versions of the Runge-Kutta fourth order method for the solution of N simultaneous first order differential equations which require 3A 4-P storage locations against the normal 4JV -f P, where P is the storage required by the program. It is shown below that it is possible to arrange all such methods in a form which requires SN -\-P storage locations. Gill's method for reducing round off error is also extended. a4-&4-c4-d= 1, 6m 4-en 4-dp = |, bm 4-en 4-dp" = \, cmr 4-dnt -\-dms = -g-, The computation with the formulae arranged in this form requires 4A 4-P storage