Simulation of Swimming Organisms: Coupling Internal Mechanics with External Fluid Dynamics Ricardo Cortez Department of Mathematics Tulane University New Orleans, LA 70118 and Nathaniel Cowen Courant Institute of Mathematical Sciences 251 Mercer Street New York, NY 10012 and Robert Dillon Department of Pure and Applied Mathematics Washington State Universiy Pullman, WA 99164 and Lisa Fauci Deparment of Mathematics Tulane University New Orleans, LA 70118 December 4, 2003 1