Preface . . vii Chapter 1: The Method of Characteristics for the Numerical Solution of Hyperbolic Differential Equations . . 1 Chapter 2: Modeling and Simulation of Semiconductor Optical Amplifier Dynamics for Telecommunication Applications . . 89 Chapter 3: Computer Simulation of Radon Measurements with Nuclear Track Detectors . . 125 Chapter 4: Effects of Round-off Errors on Molecular Dynamics Simulations . . 157 Chapter 5: Bi-Dimensional Quantum Tunneling by a Time Dependent Computational Approach . . 185 Chapter 6: Dielectric Confinement in Quantum Dots . . 211 Chapter 7: Painleve Analysis and Symmetries: (2+l)-D Nonlinear Wave Equation Arising in a One-Dimensional Model for the 3D Vorticity Equation . . 233 Chapter 8: Computers and Liquid State Statistical Mechanics . . 243 Index . . 265