Parallel stable compactification for ODEs with parameters and multipoint conditions (Q1315828)

Stable algorithms for solving algebraic linear systems arising from ordinary differential and difference equations are discussed. The authors show how those equations with parameters and multipoint side conditions can be solved by using parallel algorithms based on stabilized compactification, which was proposed by \textit{U. M. Ascher}, \textit{R. M. M. Mattheij} and \textit{R. D. Russell} [Numerical solution of boundary value problems for ordinary differential equations (1988; Zbl 0671.65063)]. The operation count as well as the storage requirement are derived for the algorithms. Some numerical results illustrate the parallel implementation.