A package of 38 low level subprograms for many of the basic operations of numerical linear algebra is presented, intended to be used with FORTRAN.Expand

New algorithms are given which make the use of modified divided differences an attractive way to carry out the change in stepsize forMultistep methods for solving differential equations based on numerical integration formulas or numerical differentiation formulas.Expand

This paper discusses how to numerically test a subroutine for the solution of ordinary differential equations with a variable order Adams method.Expand

Approximately ten different ways for changing the step size used by multistep methods are enumerated, and their good and bad features are compared. More efficient algorithms are given for the… Expand

This note gives the gravitational potential of the disk {(x, y, z):x2+y2≤p2, z=0} and the gravitational field at the point (x, y, z). Formulas for a ring can be obtained as the difference of our… Expand

A set of FORTRAN callable subprograms are proposed which will be useful in the development of efficient portable ANSI FORTRAN subprograms and applications programs in the area of linear algebra.

Algorithms based on Newton's interpolation formula are given for: simple polynomial interpolation, polynomial interpolation with derivatives supplied at some of the data points, interpolation with… Expand

This work was supported by the National Aeronautics and Space Administration under Contract NAS 7-100 and by the Office of Naval Research under Contract NR 044-457.Expand