Two easy-to-check conditions are given which, together, are sufficient and “almost necessary” forA-stability of linear multistep integration formulae. As an example, these conditions are applied to… (More)

For a linear multistep method applied with a fixed integration steph tox=λx, λ constant, a concept ofA D -stability is defined relative to any domain of the complexq=λh plane. The image of the unit… (More)

Recently,P. A. Lewis, A. S. Goodman, andJ. M. Miller carried out extensive statistical tests on a random number generator of congruential type [3]. They showed that this generator has good… (More)

This paper is concerned with stability and accuracy of families of linear <italic>k</italic>-step formulas depending on parameters, with particular emphasis on the numerical solution of stiff… (More)

An efficient implementation of the Crout elimination method in solving large sparse systems of linear algebraic equations of arbitrary structure is described. A computer program, GNSO, by symbolic… (More)