Oleinik's E-Condition from the Viewpoint of Numerics; H. Aiso. On Some New Results for Residual Distribution Schemes; R. Abgrall, T.J. Barth. Simulations of Relativistic Jets with Genesis; M.A. Aloy, et al. Relativistic Jets from Collapsars; M.A. Aloy, et al. Exact Computation in Numerical Linear Algebra: The Discrete Fourier Transform; J.A.D.W. Anderson, P.K. Sweby. Comparative Study of HLL, HLLC and Hybrid Riemann Solvers in Unsteady Compressible Flows; A. Bagabir, D. Drikakis. A New Reconstruction Technique for the Euler Equations of Gas Dynamics with Source Terms; P. Bartsch, A. Borzi. Colella-Glaz Splitting Scheme for Thermally Perfect Gases; A. Beccantini. Meshless Particle Methods: Recent Developments for Nonlinear Conservation Laws in Bounded Domain; B.B. Moussa. Application of Wave-propagation Algorithm to Two-dimensional Thermoelastic Wave Propagation in Inhomogeneous Media; A. Berezovski, G.A. Maugin. Unstructured Mesh Solvers for Hyperbolic PDEs with Source Terms: Error Estimates and Mesh Quality; M. Berzins, L.J.K. Durbeck. Constancy Preserving, Conservative Methods for Free-surface Models; L. Bonaventura, E. Gross. Hyperbolic-elliptic Splitting for the Pseudo-compressible Euler Equations; A. Bonfiglioli. Godunov Solution of Shallow Water Equations on Curvilinear and Quadtree Grids; A.G.L. Borthwick, et al. A High-order-accurate Reconstruction for the Computation of Compressible Flows on Cell-vertex Triangular Grids; L.A. Catalano. Numerical Experiments with Multilevel Schemes for Conservation Laws; G. Chiavassa, R. Donat. Volume-of-fluid Methods for Partial Differential Equations; P. Colella. Some New Godunov and Related Relaxation Methods for Two-phase Flow Problems; F. Coquel, et al. Development of Genuinely Multi-dimensional Upwind Residual Distribution Schemes for the System of Eight Wave Ideal Magnetohydrodynamic Equations on Uncunstructured Grids; A. Csik, et al. Application of TVD High Resolution Schemes to the Viscous Shock Tube Problem; V. Daru, C. Tenaud. Comparison of Numerical Solvers with Godunov Scheme for Multicomponent Turbulent Flows; E. Declercq. Godunov-type Schemes for the MHD Equations; A. Dedner, et al. Absorbing Boundary Conditions for Astrophysical MHD Simulations; A. Dedner, et al. About Kinetic Schemes Built in Axisymmetrical and Spherical Geometries; S. Dellacherie. Lagrangian Systems of Conservation Laws and Approximate Riemann Solvers; B. Despres. Intermediate Shocks in 3D MHD Bow Shock Flows; H. De Sterck, S. Poedts. A Second Order Godunov-type Scheme for Naval Hydrodynamics; A. Di Mascio, et al. Uniformly High-order Methods for Unsteady Incompressible Flows; D. Drikakis. Application of the Finite Volume Method with Osher Scheme and Split Technique for Different Types of Flow in a Channel; K.S. Erduran, V. Kutija. A-priori Estimates for a Semi-Lagrangian Scheme for the Wave Equation; M. Falcone, R. Ferretti. Interstellar Shock Structures in Weakly Ionised Gases; S.A.G.E. Falle. The Ghost Fluid Method for Numerical Treatment of Discontinuities and Interfaces; R.P. Fedkiw. A Hybrid Primitive-Conservative Upwind Scheme for the Drift Flux Model; K.K. Fjelde, K.H. Karlsen. Numerical Simulations of Relativistic Wind Accretion onto Black Holes Using Godunov-type Methods; J.A. Font, et al. A Second Order Accurate, Space-time Limited, BDF Scheme for the Linear Advection Equation; S.A. Forth. Multidimensional Upwind Schemes: Application to Hydraulics; P. Garcia-Navarro, et al.
This edited review book on Godunov methods contains 97 articles, all of which were presented at the international conference on Godunov Methods: Theory and Applications, held at Oxford in October 1999, to commemo- rate the 70th birthday of the Russian mathematician Sergei K.