Innovative Methods For Numerical Solution Of Partial Differential Equations

"A one-sided view" - the real story, B. van Leer; collocated upwind schemes for ideal MHD, K.G. Powell; the penultimate scheme for systems of conservation laws - finite difference ENO with Marquina's flux splitting, R.P. Fedkiw et al; a finite element based level-set method for multiphase flows, B. Engquist and A-K Tornberg; the GHOST fluid method for viscous flows, R.P. Fedkiw and X-D Liu; factorizable schemes for the equations of fluid flow, D. Sidilkover; evolution Galerkin methods as finite difference schemes, K.W. Morton; fluctuation distribution schemes on adjustable meshes for scalar hyperbolic equations, M.J. Baines; superconvergent lift estimates through adjoint error analysis, M.B. Giles and N.A. Pierce; somewhere between the Lax-Wendroff and Roe schemes for calculating multidimensional compressible flows, A. Lerat et al.; flux schemes for solving nonlinear systems of conservation laws, J.M. Ghidaglia; a Lax-Wendroff type theorem for residual schemes, R. Abgrall et al; kinetic schemes for solving Saint-Venant equations on unstructured grids, M.O. Bristeau and B. Perthame; nonlinear projection methods for multi-entropies Navier-Stokes systems, C. Berthon and F. Coquel; a hybrid fluctuation splitting scheme for two-dimensional compressible steady flows, P. De Palma et al; some recent developments in kinetic schemes based on least squares and entropy variables, S.M. Deshpande; difference approximation for scalar conservation law - consistency with entropy condition from the viewpoint of Oleinik's e-condition, H. Aiso; lessons learned from the blast wave computation using overset moving grids - grid motion improves the resolution, K. Fujii.