The code GAM implements the Generalized Adams Methods (GAMs) of orders 3,5,7 and 9 to solve initial value problems [1,2,3]. Its effectiveness has been established on the basis of its good behaviour on a wide variety of test problems as compared to the performance of some well-known codes such as RADAU5 and MBDFDAE [2]. We discuss a more general strategies of choosing the coefficients of the methods in order to improve the convergences properties of the parallel splitting techniques for the solution of the underlying nonlinear systems.

References

[1] F. Iavernaro, F. Mazzia, Block-Boundary Value Methods for the solution of Ordinary Differential Equations, SIAM J.Sci. Comput. (to appear).

[2] F. Iavernaro, F. Mazzia, Solving ordinary differential equations by generalized Adams methods: properties and implementation techniques, Appl. Num. Math., 28 (2-4), 107-126, (1998).

[3] L. Brugnano, D. Trigiante, Solving Differential Problems by Multistep Initial and Boundary Value Methods, Gordon & Breach, Amsterdam, 1998.

MINISIMPOSIUM SESSION: 6. Novel methods for ODEs