The intellectual centre of this proceedings volume is the subject of conservation laws. Conservation laws are the most basic model of many continuum processes, and for this reason they govern the motion of fluids, solids and plasma. They are basic to the understanding of more complex modelling issues, such as multiphase flow, chemically reacting flow and non-equilibrium thermo-dynamics. Equations of this type also arise in novel and unexpected areas, such as the pattern recognition and image processing problem of edge enhancement and detection. The articles in this volume address the entire range of the study of consevation laws, including the fundamental mathematical theory, familiar and novel applications, and the numerical problem of finding effective computational algorithms for the solution of these problems.
An accuracy test of a Cartesian grid method for steady flow in complex geometries, M. Berger and J. Melton; a bifurcation diagram for oblique shock interactions in the unsteady transonic small disturbance equation, S. Canic et al; shock capturing and global solutions to the compressible Euler equations with geometrical structure, G.-Q. Chen and J. Glimm; phase transitions in self-gravitating relativistic fluids, D. Christodoulou; stability of non-classical shock waves, H. Freistuehler; reservoir simulation by front tracking, T. Gimse et al; a numerical study of shock interactions and shock induced mixing, J.W. Grove et al; on the Courant-Friedrichs-Lewy condition equipped with order for hyperbolic differential equations, R. Jeltsch et al; CLAWPACK - a software package for solving multi-dimensional conservation laws, R. Leveque; kinetic discretization of gas dynamics using fluctuation-splitting schemes, B. Perthame et al; a survey of granular flow, D.G. Schaeffer; a comparison of G.I. Taylor's inviscid analysis and an artificial viscosity approach to the spherical piston problem in N=1,2,3 space dimensions, M. Slemrod; shock waves and irreversibility in Einstein's theory of gravity, J. Smoller and B. Temple; uses of local preconditioning, B. van Leer; and other papers.