Coronal mass ejections (CMEs) can have a profound impact on the interplanetary medium and the near-earth environment. We discuss the feasibility of detecting coronal mass ejections at radio wavelengths with a groundbased instrument. In particular, we explore the possibility that a radio telescope employing Fourier synthesis imaging techniques can detect thermal bremsstrahlung emission from CMEs...

A parallel algorithm, which is derived directly from the Schwarz alternating algorithm with an overlapping domain decomposition, for solving boundary value problems of elliptic partial di€erential equations is analyzed. A new general analysis framework di€erent from Lions' ones is established to describe the recursive relations of error functions between approximate solutions and the exact solu...

Domain decomposition methods for the solution of semi-linear selfadjoint and non-selfadjoint singularly perturbed di erential equations are considered. An iterative domain decomposition algorithm suitable for parallelization is described and convergence of the algorithm is established. The implementation on a shared memory multiprocessor is described and numerical examples are presented to demo...

This special session emphasizes the dual roles of both theory and applications of dynamical systems and di↵erential equations to mathematical models in biology and medicine. Recent advances within mathematical ecology (including competition between species, predator-prey and cooperative systems, and evolutionary theory) will be presented alongside those for mathematical models in various fields...

The paper is devoted to the study of the relationship between integral manifolds of ordinary di erential equations and duck trajectories. We derive su cient conditions for the existence of continuous slow integral surfaces that are devided into stable and unstable parts and propose a method of construction of surfaces consisting of duck trajectories.

A detailed description is given of the parallel algorithms used in AUTO94P, an experimental parallel version of the software AUTO for the numerical bifurcation analysis of systems of ordinary di erential equations. Timing results and user instructions for the Intel Delta are included. The sequential version of the software, AUTO94, is fully described in [8]. For a related tutorial paper see [5,...

A detailed description is given of the parallel algorithms used in AUTO94P, an experimental parallel version of the software AUTO for the numerical bifurcation analysis of systems of ordinary di erential equations. Timing results and user instructions for the Intel Delta are included. The sequential version of the software, AUTO94, is fully described in [8]. For a related tutorial paper see [5,...

This report presents an experimental comparison of NAG Fortran Library software for the solution of large sparse unsymmetric linear systems of algebraic equations Preconditioned RGMRES CGS and Bi CGSTAB methods to be introduced at Mark are compared against one another and against direct methods Test problems include discrete approximations to D elliptic partial di erential equations random valu...

The SMF methods of Mart n and Ferr andiz [SIAM J. Numer. Anal. 34 (1997) 359-375], for di erential equations of second order, are shown to be equivalent to modi ed Adams methods. This leads to new formulae for the coe cients of those methods, generating functions analogous to those of the Adams methods for equations of rst order, and simpler, more instructive, expressions for the local truncati...

We consider cyclic nearest neighbor systems of di erential delay equations, in which the coupling between neighbors possesses a monotonicity property. Using a discrete (integer-valued) Lyapunov function, we prove that the Poincar e-Bendixson theorem holds for such systems. We also obtain results on piecewise monotonicity and stability of periodic solutions of such systems.