Articles in international reviewed journals

1. K. Verheyden, T. Luzyanina, and D. Roose, Efficient computation of characteristic roots of delay differential equations using LMS methods, J. Comput. Appl. Math., (2007). accepted (DOI:10.1016/j.cam.2007.02.025).
2. G. Samaey, K. Engelborghs, and D. Roose, Numerical computation of connecting orbits in delay differential equations, Numer. Algorithms 30 (3-4), pp. 335-352, 2002.
3. T. Luzyanina, and K. Engelborghs, Computing Floquet multipliers for functional differential equations, International Journal of Bifurcation and Chaos 12 (12), pp. 2977-2989, 2002.
4. K. Engelborghs, and D. Roose, On stability of LMS methods and characteristic roots of delay differential equations, SIAM J. Numer. Anal. 40 (2), pp. 629-650, 2002.
5. K. Engelborghs, and E. Doedel, Stability of piecewise polynomial collocation for computing periodic solutions of delay differential equations, Numer. Math. 91 (4), pp. 627-648, 2002.
6. T. Luzyanina, K. Engelborghs, and D. Roose, Numerical bifurcation analysis of differential equations with state-dependent delay, Int. J. Bifurcation and Chaos 11 (3), pp. 737-753, March, 2001.
7. K. Engelborghs, T. Luzyanina, K. in 't Hout, and D. Roose, Collocation methods for the computation of periodic solutions of delay differential equations, SIAM J. Sci. Comput. 22 (5), pp. 1593-1609, 2000.

Ph.D. Theses

1. K. Verheyden, Numerical bifurcation analysis of large-scale delay differential equations, Ph.D. Thesis, Department of Computer Science, K.U.Leuven, Leuven, Belgium, March, 2007, xxxvi+162 pages
2. K. Engelborghs, Numerical bifurcation analysis of delay differential equations, Ph.D. Thesis, Department of Computer Science, K.U.Leuven, Leuven, Belgium, May, 2000, l+221 pages