Multiple time step approach for numerical simulation of non-Newtonian drop coalescence Bazhlekov I.B. Institute of Mathematics, Bulgarian Academy of Sciences, acad. G. Bonchev str., bl. 8, 1113 Sofia, Bulgaria Present address: Centre for Polymers and Composites, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands, E-mail - bazhleko@wfw.wtb.tue.nl Abstract An approach for numerical simulation of non-Newtonian coalescence is discussed. The elements of the numerical scheme are analyzed with respect to their accuracy and stability as well as the related problems of prohibitively large CPU time. A multiple time step approach is proposed both for the time integration of the governing equations in the film and in the drops. The influence of this approach on the accuracy of the numerical results is studied and its efficiency for the numerical simulation of non-Newtonian drop coalescence demonstrated.