J. Álvarez and
J. Rojo
New A-stable explicit two-stage
methods of order three for the scalar autonomous IVP
pp. 57-66 in
P. de Oliveira, F. Oliveira,
F. Patrício, J.A. Ferreira, A. Araújo (eds.)
Proc. of the 2nd. Meeting on
Numerical Methods for Differential Equations, NMDE'98
Coimbra, Portugal, 1998
Abstract:
We investigate a new family of explicit two--stage methods for the
numerical integration of scalar autonomous ODEs. We show that it is possible
to obtain formulae of order three with only two evaluations per step. Moreover,
we can obtain A--stable and L--stable methods of order three from the preceding
family. Finally we compare the new methods with other conventional methods,
to show that they perform better, carrying out some numerical experiments.
AMS(MOS) subject classification:
65L05, 65L07, 65L20
Preprint file as PDF newast.pdf