This is a preview. Log in through your library . Abstract This paper deals with the stability analysis of one-step methods in the numerical solution of initial (-boundary) value problems for linear, ...

SIAM Journal on Applied Mathematics, Vol. 72, No. 1 (2012), pp. 405-416 (12 pages) An asymptotic expansion in powers of small dimensionless dispersion coefficient is sought to solve an initial value ...

Differential equations are fundamental tools in physics: they are used to describe phenomena ranging from fluid dynamics to general relativity. But when these equations become stiff (i.e. they involve ...