Table of contents : Long time existence and singularity formation for vortex sheets....Pages 1-8 Computation of vortex sheet roll-up....Pages 9-22 Vortex ring interaction by the vortex method....Pages 23-36 Vortex stretching and the small-scale structure of turbulence....Pages 37-41 Instability, vortex shedding, and numerical convergence....Pages 42-55 On the validity of vortex methods for non smooth flows....Pages 56-67 Computation of oscillatory solutions to hyperbolic differential equations using particle methods....Pages 68-82 On measuring the accuracy of the vortex method: Using a random method to model stable and untable flow....Pages 83-95 Very large vortex calculations in two dimensions....Pages 96-120 The rapid evaluation of potential fields in three dimensions....Pages 121-141