Parallel ODE solvers based on block BVMs (Q1371957)

The paper gives a brief survey about a new class of numerical methods for initial value problems, called boundary value methods (BVMs) which has recently been introduced. The basic idea of such methods is that of approximating a continuous initial value by means of a discrete boundary value one. These methods are based on linear multistep formulae and overcome the stability barriers but they need a new approach of the stability framework. Also, the authors show that the BVMs allow an efficient parallel implementation.