Based on a July 1998 symposium held in France, this collection of 17 papers presents recent developments in the theory and algorithms for solving partial differential equations and their application in industry. Topics include collocated upwind schemes for compressible magnetohydrodynamics, a finite element based level set method for multiphase flows, superconvergent lift estimates through adjoint error analysis, flux schemes for solving nonlinear systems of conservation laws, and kinetic schemes for solving Saint-Venant equations on unstructured grids. No index. Annotation c. Book News, Inc., Portland, OR (booknews.com)