Designing efficient software for solving delay differential equations (Q1841962)

This paper contains the efficient implementation of numerical software for solving delay differential equations (DDEs) is addressed. The analytical theory underlying the numerical solution of delay differential equations has advanced considerably over the past decade. However, the number of available DDE solver has remainded somewhat limited and has thus delayed the widespread use of DDEs by non-mathematicians. While there are a number of theoretical areas in the numerical solution of DDEs, convergence, stability, bifurcations, oscillations etc. this paper aimes at shedding light on some of the practical issues in writing an efficient and robust code for solving DDEs.