Numerical methods and software for conservation laws: Hyperbolic systems of partial differential equations are used in a number of applications to model phenomena governed by conservation laws, such as soil liquefaction, planetary nebulae, gravitation, and shallow water waves. Professor Randy L eVeque and his collaborators have studied the numerical analysis of such systems extensively, and have developed a software package called CLAWPACK (Conservation LAWs PACKage), designed to find numerical solutions for a wide variety of problems involving such systems.